MOSFET Simulation (16FEB2012)

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MOSFET Simulation (16FEB2012)

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MOSFET Simulation (16FEB2012)

  1. 1. MOSFET Simulation Date and time = 02/16/12 00:49:46 1... title MOSFET - NMOS 2... MESH RECT NX=53 NY=46 NZ=1 WIDTH=1 3... X.M N=1 LOC=0 4... X.M N=15 LOC=0.05 RATIO=0.8 5... X.M N=27 LOC=0.1 RATIO=1.7103513811 6... X.M N=38 LOC=0.15 RATIO=0.8 7... X.M N=53 LOC=0.2 RATIO=1.2 8... Y.M N=1 LOC=0 9... Y.M N=10 LOC=0.05 RATIO=1 10... Y.M N=26 LOC=0.062 RATIO=0.874956927811 11... Y.M N=41 LOC=0.07 r=0.7 12... Y.M N=46 LOC=0.072 RATIO=1.25 13... # Substrate 14... REGION NUM=1 ix.l=1 ix.h=53 iy.l=1 iy.h=10 silicon 15... # Source 16... REGION NUM=2 ix.l=1 ix.h=15 iy.l=10 iy.h=41 silicon 17... # Drain 18... REGION NUM=3 ix.l=38 ix.h=53 iy.l=10 iy.h=41 silicon 19... # Channel 20... REGION NUM=4 ix.l=15 ix.h=38 iy.l=10 iy.h=41 silicon 21... # Gate Oxide 22... REGION NUM=5 ix.l=15 ix.h=38 iy.l=41 iy.h=46 oxide 23... # Fillers 24... REGION NUM=6 ix.l=1 ix.h=15 iy.l=41 iy.h=46 oxide 25... REGION NUM=7 ix.l=38 ix.h=53 iy.l=41 iy.h=46 oxide 26... ELECT NUM=1 x.min=0 x.max=0.05 y.min=0.07 y.max=0.07
  2. 2. 27... ELECT NUM=2 x.min=0.15 x.max=0.2 y.min=0.07 y.max=0.0728... ELECT NUM=3 x.min=0.05 x.max=0.15 y.min=0.072 y.max=0.07229... ELECT NUM=4 x.min=0 x.max=0.2 y.min=0 y.max=030... dop region=1 unif conc=5e+16 p.type31... dop region=2,3 unif conc=2e+20 n.type32... dop region=4 unif conc=1e+18 p.type33... plot.3d doping outfile=pdr512.doping34... contact num=3 n.polysilicon35... $ Material specification36... material name=silicon eg300=1.12 permi=11.837... MODELS TEMP=300 conmob gatmob fldmob print38... SYSTEM NEWTON CARR=1 ELECTRONS39... solve init outfile=pdr512.initsol40... PLOT.3D POTEN ELECT OUTFILE=pdr512.equ41... plot.3d QFN outf=pdr512.qfn_ini42... plot.3d QFP outf=pdr512.qfp_ini43... plot.3d PO outf=pdr512.po_ini44... plot.3d DO outf=pdr512.do_ini45... plot.3d EL outf=pdr512.el_ini46... plot.3d H outf=pdr512.hh_ini47... plot.3d E.field outf=pdr512.e_ini48... plot.1d poten a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.poten_1d_ini49... plot.1d e.field a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.e_1d_ini50... plot.1d qfn a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.qfn_1d_ini51... plot.1d qfp a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.qfp_1d_ini52... plot.1d do a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.do_1d_ini53... plot.1d el a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.el_1d_ini54... plot.1d h a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.h_1d_ini55... plot.1d j.electr a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.je_1d_ini56... plot.1d j.hole a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.jh_1d_ini57... plot.1d poten a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.poten_1dy_in58... plot.1d e.field a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.e_1dy_ini59... plot.1d qfn a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.qfn_1dy_ini
  3. 3. 60... plot.1d qfp a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.qfp_1dy_ini61... plot.1d do a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.do_1dy_ini62... plot.1d el a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.el_1dy_ini63... plot.1d h a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.h_1dy_ini64... plot.1d j.electr a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.je_1dy_ini65... plot.1d j.hole a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.jh_1dy_ini66... solve v2=0 vstep=0.05 nsteps=1 elect=267... solve v2=0.05 outfile=pdr512.vdn068... solve v2=0.05 vstep=0.0958333333333 nsteps=12 elect=269... solve v2=1.2 outfile=pdr512.vdn170... load infile=pdr512.vdn071... log outfile=pdr512.idvg072... solve v3=-0.1 elect=373... solve v3=-0.0133333333333 elect=374... solve v3=0.0733333333334 elect=375... solve v3=0.16 elect=376... solve v3=0.246666666667 elect=377... solve v3=0.333333333334 elect=378... solve v3=0.42 elect=379... solve v3=0.506666666667 elect=380... solve v3=0.593333333334 elect=381... solve v3=0.68 elect=382... solve v3=0.766666666667 elect=383... solve v3=0.853333333334 elect=384... solve v3=0.94 elect=385... solve v3=1.02666666667 elect=386... solve v3=1.11333333333 elect=387... solve v3=1.2 elect=388... log off89... load infile=pdr512.vdn190... log outfile=pdr512.idvg191... solve v3=-0.1 elect=392... solve v3=-0.0133333333333 elect=393... solve v3=0.0733333333334 elect=3
  4. 4. 94... solve v3=0.16 elect=3 95... solve v3=0.246666666667 elect=3 96... solve v3=0.333333333334 elect=3 97... solve v3=0.42 elect=3 98... solve v3=0.506666666667 elect=3 99... solve v3=0.593333333334 elect=3100... solve v3=0.68 elect=3101... solve v3=0.766666666667 elect=3102... solve v3=0.853333333334 elect=3103... solve v3=0.94 elect=3104... solve v3=1.02666666667 elect=3105... solve v3=1.11333333333 elect=3106... solve v3=1.2 elect=3107... log off108... plot.3d pot elect outf=pdr512.ftc109... plot.3d QFN outf=pdr512.qfn110... plot.3d QFP outf=pdr512.qfp111... plot.3d PO outf=pdr512.po112... plot.3d DO outf=pdr512.do113... plot.3d EL outf=pdr512.el114... plot.3d H outf=pdr512.hh115... plot.3d E.field outf=pdr512.e116... plot.1d poten a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.poten_1d117... plot.1d e.field a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.e_1d118... plot.1d qfn a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.qfn_1d119... plot.1d qfp a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.qfp_1d120... plot.1d el a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.el_1d121... plot.1d h a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.h_1d122... plot.1d j.electr a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.je_1d123... plot.1d j.hole a.x=0 b.x=0.2 a.y=0.07 b.y=0.07 ascii outf=pdr512.jh_1d124... plot.1d do a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.do_1dy125... plot.1d poten a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.poten_1dy126... plot.1d e.field a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.e_1dy127... plot.1d qfn a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.qfn_1dy128... plot.1d qfp a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.qfp_1dy129... plot.1d el a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.el_1dy
  5. 5. 130... plot.1d h a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.h_1dy131... plot.1d j.electr a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.je_1dy132... plot.1d j.hole a.y=0 b.y=0.07 a.x=0 b.x=0 ascii outf=pdr512.jh_1dy133... END*************MOSFET - NMOS*************Mesh statistics : Total grid points = 2438 Total no. of elements = 4680 Min grid spacing (um) = 1.6355E-05 Max grid spacing (um) = 2.1529E-02 (r= 1.3163E+03) Obtuse elements = 0 ( 0.0%)** Warning in line # 33Electrode # 1 contacts both sides of a junction or semi/ins boundary** Warning in line # 33Electrode # 2 contacts both sides of a junction or semi/ins boundary3D plot written to pdr512.doping Function # 1: Doping Region = 1 silicon ie1,ie2 = 1 936 Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734
  6. 6. Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 4680 Material Definitions Index Name Regions 1 silicon 1,2,3,4 2 sio2 5,6,7Constants : Boltzmanns k = 8.61700E-05 charge = 1.60200E-19 permittivity = 8.85400E-14 electron mass= 9.10950E-31Ambient temperature = 300.000Thermal voltage = 0.025851 Material datanum r-perm Egap Affinity Ec offset Bulk qf k-therm Gen con1 11.80 1.1200E+00 4.1700E+00 0.0000E+00 0.0000E+00 1.4500E+004.0000E+132 3.90 9.0000E+00 9.0000E-01 -3.2700E+00 0.0000E+00 2.5000E-01 0.0000E+00 Semiconductor datanum stats ni An** Ap** Nc Nv1 Boltz 9.963E+09 1.100E+02 3.000E+01 3.200E+19 2.030E+19num gcb edb gcv eab w2d H-alphn H-alphp1 2.000E+00 5.000E-02 4.000E+00 4.500E-02 1.000E-03 3.000E-052.000E-07
  7. 7. Model flags : Incomp. ionization = F Band-gap narrowing = F SRH recombination =F Conc-dep lifetime =F Auger recombination = F Deep level traps =F Radiative recomb =F Impact ionization =F Band-to-band tunnel = F Trap-assist tunnel = F Stimulated emission = F Carrier-carr. scat. = F Neutral imp. scat. = F Ion-impurity scat. = T Field dep. mobil =T Gate fld dep mobil = T Field dep. diff =F Thermoelectric curr = T ET ebal formulation = FModel Types:mat # II-scat CC-scat Fld mob Vsat Gate mob1 n Analytic Dorkel Caughey Exponent SGS p Analytic Dorkel Caughey Power SGSmat # D(E) Energy Ce(T) BGN1 n Lincut Const. P Slotboom
  8. 8. p Lincut Const. P SlotboomDriving forces : Mobility, parallel field = qfb Mobility, gate field = exj Diffusivity = qfb Impact ionization = eoj Default low-field mobilities/relax-times, vsat, w-kappamat # mobl0 tauw vsat(T0) kappa 1 n 1390. 2.0000E-13 1.0349E+07 1.500 p 470.0 2.0000E-13 8.3700E+06 1.500 Velocity saturation coefficientsmat # coef 1 coef 2 coef 3 coef 4 coef 5 1 n 2.400E+07 0.800 0.500 0.00 0.00 p 8.370E+06 0.800 -0.520 0.00 0.00 Lattice scat. mobility coefficientsmat # coef 1 coef 2 coef 3 coef 4 coef 5 1 n 1.390E+03 -2.30 0.00 0.00 0.00 p 470. -2.20 0.00 0.00 0.00 Ion-impurity mobility coefficientsmat # coef 1 coef 2 coef 3 coef 4 coef 5 1 n 55.2 1.072E+17 0.733 -2.55 -0.570 p 49.7 1.606E+17 0.700 -2.55 -0.570 Field mobility coefficientsmat # coef 1 coef 2 coef 3 coef 4 coef 5
  9. 9. 1 n 2.00 0.00 0.00 0.00 0.00 p 1.00 0.00 0.00 0.00 0.00 Field mobility coefficients (cont.)mat # coef 6 coef 7 coef 8 coef 9 coef 10 1 n 0.00 0.00 0.00 0.00 0.00 p 0.00 0.00 0.00 0.00 0.00 Gate mobility coefficientsmat # coef 1 coef 2 coef 3 coef 4 coef 5 1 n 4.750E+07 1.740E+05 0.125 5.820E+14 0.00 p 9.930E+06 8.840E+05 3.170E-02 2.050E+14 0.00 Gate mobility coefficients (cont.)mat # coef 6 coef 7 coef 8 coef 9 coef 10 1 n 0.00 0.00 0.00 0.00 0.00 p 0.00 0.00 0.00 0.00 0.00 Energy relaxation coefficientsmat # coef 1 coef 2 coef 3 coef 4 coef 5 1 n 1.00 0.00 0.00 0.00 0.00 p 1.00 0.00 0.00 0.00 0.00 Energy relaxation coefficients (cont.)mat # coef 6 coef 7 coef 8 coef 9 coef 10 1 n 0.00 0.00 0.00 0.00 0.00 p 0.00 0.00 0.00 0.00 0.00 Misc energy trans coefficientsmat # coef 1 coef 2 coef 3 coef 4 coef 5
  10. 10. 1 n 0.00 0.00 0.00 0.00 0.00 p 0.00 0.00 0.00 0.00 0.00 Contacts : Num Work fn. Vsurfn Vsurfp 1 0.000 2 0.000 3 4.170 4 0.000Solution for bias: V1 = 0.0000000E+00 V2 = 0.0000000E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Initial solution o-itr i-itr psi-error n-error 1 0 7.5034E-01 R( 0) 1 1 4.9413E+01 U( 1) 1 1 2.0207E-02 R( 1) 1 2% 2.1969E+01 U( 6) 1 2% 8.6385E-03 R( 1) 1 3 1.2473E+01 U( 1) 1 3 2.1712E-03 R( 1) 1 4 4.9176E+00 U( 1) 1 4 3.1402E-05 R( 1) 1 5* 1.4382E-02 U( 4)
  11. 11. 1 5* 4.5834E-08 R( 1) 1 6* 2.0050E-05 U( 4) 1 6* 1.5706E-13 R( 1) 1 7* 9.3140E-11 U( 4) 1 7* 1.7620E-15 R( 1) 1 0 9.0000E-01 R( 0) 1 1 5.4840E-15 U( 1) 1 1 5.0528E-01 R( 1) 2 0 4.4348E-14 R( 0) 2 1 4.0255E-15 U( 1) 2 1 4.2979E-14 R( 1) 2 0 9.0839E-01 R( 0) 2 1 4.1710E-15 U( 1) 2 1 3.6780E-01 R( 1) 1 0 1.0307E-13 3.8217E-15 R( 0) 1 1 2.2632E-15 2.1717E-15 U( 1) 1 1 7.5139E-14 7.9753E-14 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -2.48510E-16 0.00000E+00 -2.48510E-16 2 0.0000 1.05670E-15 0.00000E+00 1.05670E-15 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -9.44081E-33 0.00000E+00 -9.44081E-33Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.32847E-17 0.00000E+00 -2.48510E-16 2 -1.16057E-16 0.00000E+00 1.05670E-15 3 3.26245E-16 0.00000E+00 0.00000E+00 4 -2.72337E-16 0.00000E+00 -9.44081E-33Convergence criterion completely metTotal cpu time for Newton equation assembly = 0.5667Total cpu time for Newton linear solves = 0.9000 ( 0.9000)Total cpu time for bias point = 1.4667
  12. 12. Total cpu time = 1.7667Solution written to pdr512.initsol3D plot written to pdr512.equ Function # 1: Potential Function # 2: Electron density Region = 1 silicon ie1,ie2 = 1 936 Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734 Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 46803D plot written to pdr512.qfn_ini Function # 1: Electron qf level Region = 1 silicon ie1,ie2 = 1 936 Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734 Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 46803D plot written to pdr512.qfp_ini Function # 1: Hole qf level Region = 1 silicon ie1,ie2 = 1 936
  13. 13. Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734 Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 46803D plot written to pdr512.po_ini Function # 1: Potential Region = 1 silicon ie1,ie2 = 1 936 Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734 Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 46803D plot written to pdr512.do_ini Function # 1: Doping Region = 1 silicon ie1,ie2 = 1 936 Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734 Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 46803D plot written to pdr512.el_ini
  14. 14. Function # 1: Electron density Region = 1 silicon ie1,ie2 = 1 936 Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734 Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 46803D plot written to pdr512.hh_ini Function # 1: Hole density Region = 1 silicon ie1,ie2 = 1 936 Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734 Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 46803D plot written to pdr512.e_ini Function # 1: Electric field Region = 1 silicon ie1,ie2 = 1 936 Region = 2 silicon ie1,ie2 = 937 1804 Region = 3 silicon ie1,ie2 = 1805 2734 Region = 4 silicon ie1,ie2 = 2735 4160 Region = 5 sio2 ie1,ie2 = 4161 4390 Region = 6 sio2 ie1,ie2 = 4391 4530 Region = 7 sio2 ie1,ie2 = 4531 4680
  15. 15. Solution for bias: V1 = 0.0000000E+00 V2 = 0.0000000E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 3.1263E-14 R( 0) 1 1 2.5761E-15 U( 1) 1 1 4.1949E-14 R( 1) 1 0 9.6671E-01 R( 0) 1 1 4.0940E-15 U( 1) 1 1 4.5751E-02 R( 1) 2 0 4.4881E-14 R( 0) 2 1 2.1306E-15 U( 1) 2 1 3.7030E-14 R( 1) 2 0 9.0869E-01 R( 0) 2 1 3.8633E-15 U( 1) 2 1 3.6645E-01 R( 1) 1 0 8.8600E-14 3.8189E-15 R( 0) 1 1 2.1399E-15 2.0760E-15 U( 1) 1 1 7.8707E-14 7.9640E-14 R( 1) Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -2.48510E-16 0.00000E+00 -2.48510E-16 2 0.0000 1.05670E-15 0.00000E+00 1.05670E-15 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -8.95213E-33 0.00000E+00 -8.95213E-33 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps)
  16. 16. 1 -8.32847E-17 0.00000E+00 -2.48510E-16 2 -1.16057E-16 0.00000E+00 1.05670E-15 3 3.26245E-16 0.00000E+00 0.00000E+00 4 -2.72337E-16 0.00000E+00 -8.95213E-33 Convergence criterion completely met Total cpu time for Newton equation assembly = 0.5000 Total cpu time for Newton linear solves = 0.7333 ( 0.7333) Total cpu time for bias point = 1.2333 Total cpu time = 3.7000Solution for bias: V1 = 0.0000000E+00 V2 = 5.0000000E-02 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9939E-01 R( 0) 1 1 1.9342E+00 U( 1) 1 1 1.1665E-02 R( 1) 1 2* 1.7522E-01 U( 4) 1 2* 3.2784E-04 R( 1) 1 3% 7.8349E-03 U( 4) 1 3% 4.8554E-07 R( 1) 1 4* 1.4930E-05 U( 2) 1 4* 1.2496E-12 R( 1) 1 5* 6.9012E-11 U( 2) 1 5* 1.8117E-15 R( 1) 1 0 7.0711E-01 R( 0) 1 1 8.5545E-01 U( 1) 1 1 4.5990E-06 R( 1)
  17. 17. 2 0 9.8144E-01 R( 0) 2 1 5.9182E+00 U( 1) 2 1 3.1565E-01 R( 3) 2 2 1.0181E+00 U( 1) 2 2 3.8141E-02 R( 1) 2 3 1.5953E-01 U( 1) 2 3 1.3813E-03 R( 1) 2 4* 1.1282E-02 U( 3) 2 4* 4.5988E-06 R( 1) 2 5% 4.6864E-05 U( 3) 2 5% 5.7171E-11 R( 1) 2 6* 7.4927E-10 U( 2) 2 6* 6.1480E-15 R( 1) 2 0 7.0480E-01 R( 0) 2 1 7.8791E-02 U( 1) 2 1 1.1220E-04 R( 1) 1 0 5.3672E-05 1.6632E-09 R( 0) 1 1 1.6940E-04 2.1550E-02 U( 1) 1 1 1.3184E-13 2.1659E-11 R( 1) 1 2% 3.5915E-10 3.5233E-04 U( 6) 1 2% 1.0583E-13 1.6653E-13 R( 1) 1 3* 6.3405E-15 1.1456E-06 U( 4) 1 3* 1.0909E-13 1.6872E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -1.57556E-08 0.00000E+00 -1.57556E-08 2 0.0500 1.57556E-08 0.00000E+00 1.57556E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -2.88043E-18 0.00000E+00 -2.88043E-18Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.32863E-17 0.00000E+00 -1.57556E-08 2 -1.13339E-16 0.00000E+00 1.57556E-08 3 3.17020E-16 0.00000E+00 0.00000E+00
  18. 18. 4 -2.79927E-16 0.00000E+00 -2.88043E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 0.8333 Total cpu time for Newton linear solves = 1.5667 ( 1.5667) Total cpu time for bias point = 2.4667 Total cpu time = 6.1667Solution for bias: V1 = 0.0000000E+00 V2 = 5.0000000E-02 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 4.5580E-14 R( 0) 1 1 2.0989E-15 U( 1) 1 1 4.3451E-14 R( 1) 1 0 2.3393E-06 R( 0) 1 1 9.2516E-08 U( 1) 1 1 1.5212E-07 R( 1) 2 0 4.7330E-14 R( 0) 2 1 2.4810E-15 U( 1) 2 1 4.7114E-14 R( 1) 2 0 3.0448E-07 R( 0) 2 1 1.3192E-07 U( 1) 2 1 1.5015E-07 R( 1) 1 0 1.1293E-13 1.0678E-14 R( 0) 1 1 1.9754E-15 2.8687E-07 U( 1) 1 1 1.0832E-13 1.7046E-13 R( 1) Electrode Voltage Electron Current Hole Current Conduction Current
  19. 19. (Volts) (Amps) (Amps) (Amps) 1 0.0000 -1.57556E-08 0.00000E+00 -1.57556E-08 2 0.0500 1.57556E-08 0.00000E+00 1.57556E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -2.88043E-18 0.00000E+00 -2.88043E-18 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.32863E-17 0.00000E+00 -1.57556E-08 2 -1.13339E-16 0.00000E+00 1.57556E-08 3 3.17020E-16 0.00000E+00 0.00000E+00 4 -2.79927E-16 0.00000E+00 -2.88043E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 0.4667 Total cpu time for Newton linear solves = 0.7000 ( 0.7000) Total cpu time for bias point = 1.1667 Total cpu time = 7.3333 Solution written to pdr512.vdn0Solution for bias: V1 = 0.0000000E+00 V2 = 5.0000000E-02 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 4.5260E-14 R( 0) 1 1 2.3208E-15 U( 1) 1 1 4.5660E-14 R( 1) 1 0 2.3570E-06 R( 0) 1 1 2.1712E-09 U( 1)
  20. 20. 1 1 1.5204E-07 R( 1) 2 0 4.9414E-14 R( 0) 2 1 2.4337E-15 U( 1) 2 1 4.8391E-14 R( 1) 2 0 3.0388E-07 R( 0) 2 1 2.5656E-09 U( 1) 2 1 1.5016E-07 R( 1) 1 0 1.1580E-13 1.0679E-14 R( 0) 1 1 2.2919E-15 6.3629E-09 U( 1) 1 1 1.0740E-13 1.7044E-13 R( 1) Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -1.57556E-08 0.00000E+00 -1.57556E-08 2 0.0500 1.57556E-08 0.00000E+00 1.57556E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -2.88043E-18 0.00000E+00 -2.88043E-18 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.32863E-17 0.00000E+00 -1.57556E-08 2 -1.13339E-16 0.00000E+00 1.57556E-08 3 3.17020E-16 0.00000E+00 0.00000E+00 4 -2.79927E-16 0.00000E+00 -2.88043E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 0.5333 Total cpu time for Newton linear solves = 0.6333 ( 0.6333) Total cpu time for bias point = 1.2000 Total cpu time = 8.6000Solution for bias: V1 = 0.0000000E+00 V2 = 1.4583333E-01
  21. 21. V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guesso-itr i-itr psi-error n-error 1 0 6.9953E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2408E-02 R( 1) 1 2* 5.5361E-01 U( 5) 1 2* 4.9142E-03 R( 1) 1 3 1.2992E-01 U( 1) 1 3 1.2910E-04 R( 1) 1 4* 4.8636E-03 U( 2) 1 4* 1.1336E-07 R( 1) 1 5* 8.4107E-06 U( 3) 1 5* 1.3070E-13 R( 1) 1 0 7.0711E-01 R( 0) 1 1 9.7545E-01 U( 1) 1 1 3.0684E-06 R( 1) 2 0 9.2835E-01 R( 0) 2 1 3.9688E+01 U( 1) 2 1 8.2165E-01 R( 4) 2 2 9.7452E+00 U( 1) 2 2 3.3005E-01 R( 1) 2 3 1.0812E+00 U( 1) 2 3 7.2710E-02 R( 1) 2 4 2.6165E-01 U( 1) 2 4 6.5005E-03 R( 1) 2 5% 3.8000E-02 U( 3) 2 5% 8.0347E-05 R( 1) 2 6* 6.8319E-04 U( 2) 2 6* 1.3459E-08 R( 1) 2 7* 2.3991E-07 U( 3) 2 7* 5.3632E-15 R( 1) 2 0 7.0626E-01 R( 0)
  22. 22. 2 1 4.1984E-01 U( 1) 2 1 2.7443E-04 R( 1) 1 0 3.3395E-04 9.5011E-09 R( 0) 1 1 3.4813E-04 5.3445E-01 U( 1) 1 1 1.3629E-13 4.0286E-10 R( 1) 1 2* 8.7186E-07 3.3425E-02 U( 5) 1 2* 1.3598E-13 3.4546E-13 R( 1) 1 3* 1.0826E-09 1.8376E-03 U( 5) 1 3* 1.3983E-13 2.2223E-13 R( 1) 1 4* 4.3238E-15 5.0442E-06 U( 3) 1 4* 1.5528E-13 2.2004E-13 R( 1) Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -2.01919E-08 0.00000E+00 -2.01919E-08 2 0.1458 2.01919E-08 0.00000E+00 2.01919E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.24455E-18 0.00000E+00 -3.24455E-18 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.32893E-17 0.00000E+00 -2.01919E-08 2 -1.08076E-16 0.00000E+00 2.01919E-08 3 2.99909E-16 0.00000E+00 0.00000E+00 4 -2.94354E-16 0.00000E+00 -3.24455E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 1.0000 Total cpu time for Newton linear solves = 1.1000 ( 1.1000) Total cpu time for bias point = 2.1000 Total cpu time = 10.7000Solution for bias:
  23. 23. V1 = 0.0000000E+00 V2 = 2.4166667E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guesso-itr i-itr psi-error n-error 1 0 6.9952E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2407E-02 R( 1) 1 2* 5.5395E-01 U( 5) 1 2* 4.9141E-03 R( 1) 1 3 1.3019E-01 U( 1) 1 3 1.2910E-04 R( 1) 1 4* 4.8838E-03 U( 2) 1 4* 1.1335E-07 R( 1) 1 5* 8.5051E-06 U( 3) 1 5* 1.3217E-13 R( 1) 1 0 7.0711E-01 R( 0) 1 1 9.7545E-01 U( 1) 1 1 3.3854E-06 R( 1) 2 0 9.2833E-01 R( 0) 2 1 3.9688E+01 U( 1) 2 1 8.1868E-01 R( 4) 2 2 9.6220E+00 U( 1) 2 2 3.2445E-01 R( 1) 2 3 1.0654E+00 U( 1) 2 3 7.1495E-02 R( 1) 2 4 2.6226E-01 U( 1) 2 4 6.4275E-03 R( 1) 2 5% 3.7803E-02 U( 3) 2 5% 7.9358E-05 R( 1) 2 6* 6.7330E-04 U( 2) 2 6* 1.3199E-08 R( 1) 2 7* 2.3196E-07 U( 3) 2 7* 6.2440E-15 R( 1)
  24. 24. 2 0 7.0629E-01 R( 0) 2 1 9.6697E-01 U( 1) 2 1 9.7490E-04 R( 1) 1 0 3.7004E-04 3.7248E-08 R( 0) 1 1 2.3933E-04 6.3838E-01 U( 1) 1 1 1.5947E-13 3.0545E-09 R( 1) 1 2% 3.3796E-06 6.4806E-02 U( 6) 1 2% 1.6521E-13 3.8267E-11 R( 1) 1 3* 9.2152E-09 1.2624E-03 U( 3) 1 3* 1.2891E-13 2.2710E-13 R( 1) 1 4* 7.5967E-13 6.4185E-07 U( 2) 1 4* 1.3817E-13 2.3675E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -2.30142E-08 0.00000E+00 -2.30142E-08 2 0.2417 2.30142E-08 0.00000E+00 2.30142E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.29211E-18 0.00000E+00 -3.29211E-18Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.32922E-17 0.00000E+00 -2.30142E-08 2 -1.02772E-16 0.00000E+00 2.30142E-08 3 2.83001E-16 0.00000E+00 0.00000E+00 4 -3.08662E-16 0.00000E+00 -3.29211E-18Convergence criterion completely metTotal cpu time for Newton equation assembly = 1.0333Total cpu time for Newton linear solves = 1.6000 ( 1.6000)Total cpu time for bias point = 2.6333Total cpu time = 13.3333
  25. 25. Solution for bias: V1 = 0.0000000E+00 V2 = 3.3750000E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9951E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2406E-02 R( 1) 1 2* 5.5430E-01 U( 5) 1 2* 4.9140E-03 R( 1) 1 3 1.3047E-01 U( 1) 1 3 1.2910E-04 R( 1) 1 4* 4.9047E-03 U( 2) 1 4* 1.1334E-07 R( 1) 1 5* 8.6028E-06 U( 3) 1 5* 1.3394E-13 R( 1) 1 0 7.0711E-01 R( 0) 1 1 9.7545E-01 U( 1) 1 1 3.8422E-06 R( 1) 2 0 9.2830E-01 R( 0) 2 1 3.9688E+01 U( 1) 2 1 8.1593E-01 R( 4) 2 2 9.5119E+00 U( 1) 2 2 3.1958E-01 R( 1) 2 3 1.0515E+00 U( 1) 2 3 7.0461E-02 R( 1) 2 4 2.6478E-01 U( 1) 2 4 6.3633E-03 R( 1) 2 5% 3.7589E-02 U( 3) 2 5% 7.8490E-05 R( 1) 2 6* 6.6377E-04 U( 2) 2 6* 1.2987E-08 R( 1) 2 7* 2.2504E-07 U( 3)
  26. 26. 2 7* 6.2271E-15 R( 1) 2 0 7.0635E-01 R( 0) 2 1 6.4740E-01 U( 1) 2 1 1.9337E-03 R( 1) 1 0 4.2251E-04 8.3868E-08 R( 0) 1 1 3.4789E-04 3.9898E-01 U( 1) 1 1 1.7119E-13 2.0323E-08 R( 1) 1 2% 3.6662E-06 3.4554E-02 U( 6) 1 2% 1.5349E-13 7.9863E-10 R( 1) 1 3* 3.4357E-08 1.1356E-03 U( 5) 1 3* 1.4942E-13 1.2831E-12 R( 1) 1 4* 4.9894E-11 1.9411E-06 U( 5) 1 4* 1.5295E-13 2.9375E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -2.59934E-08 0.00000E+00 -2.59934E-08 2 0.3375 2.59934E-08 0.00000E+00 2.59934E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.33266E-18 0.00000E+00 -3.33266E-18Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.32951E-17 0.00000E+00 -2.59934E-08 2 -9.74412E-17 0.00000E+00 2.59934E-08 3 2.66180E-16 0.00000E+00 0.00000E+00 4 -3.22870E-16 0.00000E+00 -3.33266E-18Convergence criterion completely metTotal cpu time for Newton equation assembly = 1.0667Total cpu time for Newton linear solves = 1.6000 ( 1.6000)Total cpu time for bias point = 2.7333Total cpu time = 16.0667
  27. 27. Solution for bias: V1 = 0.0000000E+00 V2 = 4.3333333E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9950E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2405E-02 R( 1) 1 2* 5.5466E-01 U( 5) 1 2* 4.9140E-03 R( 1) 1 3 1.3076E-01 U( 1) 1 3 1.2910E-04 R( 1) 1 4* 4.9261E-03 U( 2) 1 4* 1.1334E-07 R( 1) 1 5* 8.7036E-06 U( 3) 1 5* 1.3583E-13 R( 1) 1 0 7.0711E-01 R( 0) 1 1 9.7545E-01 U( 1) 1 1 4.3293E-06 R( 1) 2 0 9.2826E-01 R( 0) 2 1 3.9688E+01 U( 1) 2 1 8.1335E-01 R( 4) 2 2 9.4123E+00 U( 1) 2 2 3.1531E-01 R( 1) 2 3 1.0391E+00 U( 1) 2 3 6.9568E-02 R( 1) 2 4 2.6701E-01 U( 1) 2 4 6.3065E-03 R( 1) 2 5% 3.8102E-02 U( 3) 2 5% 7.7729E-05 R( 1) 2 6* 6.5474E-04 U( 2) 2 6* 1.2813E-08 R( 1)
  28. 28. 2 7* 2.1904E-07 U( 3) 2 7* 7.1722E-15 R( 1) 2 0 7.0642E-01 R( 0) 2 1 6.2908E-01 U( 1) 2 1 2.2765E-03 R( 1) 1 0 4.8270E-04 1.1128E-07 R( 0) 1 1 5.7975E-04 3.6119E-01 U( 1) 1 1 1.9039E-13 4.3433E-08 R( 1) 1 2% 1.6716E-06 7.1630E-02 U( 6) 1 2% 1.5610E-13 2.1724E-09 R( 1) 1 3% 7.1360E-08 7.6785E-03 U( 6) 1 3% 1.4294E-13 1.3638E-11 R( 1) 1 4% 6.7130E-10 9.5490E-05 U( 6) 1 4% 1.5821E-13 2.6354E-13 R( 1) 1 5* 2.7238E-13 6.5886E-07 U( 3) 1 5* 1.5558E-13 2.5641E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -2.91459E-08 0.00000E+00 -2.91459E-08 2 0.4333 2.91459E-08 0.00000E+00 2.91459E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.36928E-18 0.00000E+00 -3.36928E-18Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.32980E-17 0.00000E+00 -2.91459E-08 2 -9.20877E-17 0.00000E+00 2.91459E-08 3 2.49416E-16 0.00000E+00 0.00000E+00 4 -3.36993E-16 0.00000E+00 -3.36928E-18Convergence criterion completely metTotal cpu time for Newton equation assembly = 1.0667Total cpu time for Newton linear solves = 2.9000 ( 2.9000)Total cpu time for bias point = 4.0000Total cpu time = 20.0667
  29. 29. Solution for bias: V1 = 0.0000000E+00 V2 = 5.2916667E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9949E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2405E-02 R( 1) 1 2* 5.5503E-01 U( 5) 1 2* 4.9139E-03 R( 1) 1 3 1.3105E-01 U( 1) 1 3 1.2910E-04 R( 1) 1 4* 4.9481E-03 U( 2) 1 4* 1.1333E-07 R( 1) 1 5* 8.8075E-06 U( 3) 1 5* 1.3795E-13 R( 1) 1 0 7.0711E-01 R( 0) 1 1 9.7545E-01 U( 1) 1 1 4.8304E-06 R( 1) 2 0 9.2821E-01 R( 0) 2 1 3.9688E+01 U( 1) 2 1 8.1092E-01 R( 4) 2 2 9.3216E+00 U( 1) 2 2 3.1152E-01 R( 1) 2 3 1.0279E+00 U( 1) 2 3 6.8789E-02 R( 1) 2 4 2.6900E-01 U( 1) 2 4 6.2557E-03 R( 1) 2 5% 3.8657E-02 U( 3)
  30. 30. 2 5% 7.7060E-05 R( 1) 2 6* 6.5748E-04 U( 2) 2 6* 1.2672E-08 R( 1) 2 7* 2.1382E-07 U( 3) 2 7* 6.8541E-15 R( 1) 2 0 7.0645E-01 R( 0) 2 1 7.3348E-01 U( 1) 2 1 2.4904E-03 R( 1) 1 0 5.5486E-04 1.3586E-07 R( 0) 1 1 8.2077E-04 2.7627E-01 U( 1) 1 1 2.0298E-13 8.4184E-08 R( 1) 1 2% 1.4287E-06 6.1374E-02 U( 6) 1 2% 1.6766E-13 1.5186E-08 R( 1) 1 3% 2.6590E-07 1.5141E-02 U( 6) 1 3% 1.6450E-13 2.0255E-10 R( 1) 1 4* 4.7761E-09 7.0248E-04 U( 4) 1 4* 1.7148E-13 3.6191E-13 R( 1) 1 5* 3.9961E-12 1.3660E-06 U( 4) 1 5* 1.7226E-13 3.2914E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -3.24842E-08 0.00000E+00 -3.24842E-08 2 0.5292 3.24842E-08 0.00000E+00 3.24842E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.40343E-18 0.00000E+00 -3.40343E-18Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33008E-17 0.00000E+00 -3.24842E-08 2 -8.67146E-17 0.00000E+00 3.24842E-08 3 2.32696E-16 0.00000E+00 0.00000E+00 4 -3.51048E-16 0.00000E+00 -3.40343E-18Convergence criterion completely metTotal cpu time for Newton equation assembly = 1.1000
  31. 31. Total cpu time for Newton linear solves = 2.3333 ( 2.3333) Total cpu time for bias point = 3.4667 Total cpu time = 23.5333Solution for bias: V1 = 0.0000000E+00 V2 = 6.2500000E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9948E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2404E-02 R( 1) 1 2* 5.5540E-01 U( 5) 1 2* 4.9138E-03 R( 1) 1 3 1.3136E-01 U( 1) 1 3 1.2910E-04 R( 1) 1 4* 4.9707E-03 U( 2) 1 4* 1.1332E-07 R( 1) 1 5* 8.9144E-06 U( 3) 1 5* 1.4025E-13 R( 1) 1 0 7.0711E-01 R( 0) 1 1 9.7545E-01 U( 1) 1 1 5.3504E-06 R( 1) 2 0 9.2815E-01 R( 0) 2 1 3.9688E+01 U( 1) 2 1 8.0862E-01 R( 4) 2 2 9.2382E+00 U( 1) 2 2 3.0815E-01 R( 1) 2 3 1.0178E+00 U( 1) 2 3 6.8102E-02 R( 1)
  32. 32. 2 4 2.7080E-01 U( 1) 2 4 6.2102E-03 R( 1) 2 5% 3.9164E-02 U( 3) 2 5% 7.6472E-05 R( 1) 2 6* 6.7260E-04 U( 2) 2 6* 1.2559E-08 R( 1) 2 7* 2.0930E-07 U( 3) 2 7* 7.3380E-15 R( 1) 2 0 7.0649E-01 R( 0) 2 1 7.9157E-01 U( 1) 2 1 1.6974E-03 R( 1) 1 0 6.3847E-04 1.0259E-07 R( 0) 1 1 1.0655E-03 3.3846E-01 U( 1) 1 1 2.3673E-13 9.5503E-08 R( 1) 1 2% 1.1307E-06 1.7512E-01 U( 6) 1 2% 1.4539E-13 2.6388E-09 R( 1) 1 3% 7.8740E-08 1.5629E-02 U( 6) 1 3% 1.8659E-13 1.1467E-11 R( 1) 1 4% 1.0886E-10 3.7440E-04 U( 6) 1 4% 1.5576E-13 2.9426E-13 R( 1) 1 5* 6.9734E-14 6.7206E-07 U( 4) 1 5* 1.6677E-13 2.9707E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -3.60203E-08 0.00000E+00 -3.60203E-08 2 0.6250 3.60203E-08 0.00000E+00 3.60203E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.43547E-18 0.00000E+00 -3.43547E-18Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33037E-17 0.00000E+00 -3.60203E-08 2 -8.13238E-17 0.00000E+00 3.60203E-08 3 2.16012E-16 0.00000E+00 0.00000E+00 4 -3.65048E-16 0.00000E+00 -3.43547E-18
  33. 33. Convergence criterion completely met Total cpu time for Newton equation assembly = 1.1667 Total cpu time for Newton linear solves = 2.8667 ( 2.8667) Total cpu time for bias point = 4.0667 Total cpu time = 27.6000Solution for bias: V1 = 0.0000000E+00 V2 = 7.2083333E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9947E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2403E-02 R( 1) 1 2* 5.5578E-01 U( 5) 1 2* 4.9137E-03 R( 1) 1 3 1.3166E-01 U( 1) 1 3 1.2910E-04 R( 1) 1 4* 4.9939E-03 U( 2) 1 4* 1.1332E-07 R( 1) 1 5* 9.0243E-06 U( 3) 1 5* 1.4280E-13 R( 1) 1 0 7.0711E-01 R( 0) 1 1 9.7545E-01 U( 1) 1 1 5.8908E-06 R( 1) 2 0 9.2808E-01 R( 0) 2 1 3.9688E+01 U( 1) 2 1 8.0643E-01 R( 4) 2 2 9.1611E+00 U( 1)
  34. 34. 2 2 3.0512E-01 R( 1) 2 3 1.0086E+00 U( 1) 2 3 6.7492E-02 R( 1) 2 4 2.7245E-01 U( 1) 2 4 6.1690E-03 R( 1) 2 5% 3.9632E-02 U( 3) 2 5% 7.5953E-05 R( 1) 2 6* 6.8673E-04 U( 2) 2 6* 1.2469E-08 R( 1) 2 7* 2.1792E-07 U( 3) 2 7* 7.6221E-15 R( 1) 2 0 7.0646E-01 R( 0) 2 1 8.2475E-01 U( 1) 2 1 2.1363E-03 R( 1) 1 0 7.3544E-04 1.4218E-07 R( 0) 1 1 1.3747E-03 4.9166E-01 U( 1) 1 1 2.8072E-13 7.9276E-08 R( 1) 1 2% 2.0870E-06 2.5019E-01 U( 6) 1 2% 1.4350E-13 1.2270E-08 R( 1) 1 3% 2.5856E-07 2.2629E-01 U( 6) 1 3% 1.7614E-13 3.9113E-09 R( 1) 1 4 1.1813E-07 7.5127E-02 U( 1) 1 4 1.5919E-13 8.9417E-11 R( 1) 1 5% 4.2722E-09 2.7527E-02 U( 6) 1 5% 1.5633E-13 5.5321E-13 R( 1) 1 6% 6.9398E-12 4.9130E-03 U( 6) 1 6% 1.5465E-13 3.1591E-13 R( 1) 1 7* 6.4740E-13 4.3824E-04 U( 5) 1 7* 1.5522E-13 2.8890E-13 R( 1) 1 8* 2.8297E-14 3.1452E-06 U( 4) 1 8* 1.5716E-13 2.8871E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -3.97651E-08 0.00000E+00 -3.97651E-08 2 0.7208 3.97651E-08 0.00000E+00 3.97651E-08
  35. 35. 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.46581E-18 0.00000E+00 -3.46581E-18 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33065E-17 0.00000E+00 -3.97651E-08 2 -7.59166E-17 0.00000E+00 3.97651E-08 3 1.99358E-16 0.00000E+00 0.00000E+00 4 -3.79007E-16 0.00000E+00 -3.46581E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 1.4333 Total cpu time for Newton linear solves = 4.2333 ( 4.2333) Total cpu time for bias point = 5.7000 Total cpu time = 33.3000Solution for bias: V1 = 0.0000000E+00 V2 = 8.1666667E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9945E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2403E-02 R( 1) 1 2* 5.5616E-01 U( 5) 1 2* 4.9137E-03 R( 1) 1 3 1.3198E-01 U( 1) 1 3 1.2910E-04 R( 1) 1 4* 5.0176E-03 U( 2) 1 4* 1.1331E-07 R( 1)
  36. 36. 1 5* 9.1375E-06 U( 3)1 5* 1.4573E-13 R( 1)1 0 7.0711E-01 R( 0)1 1 9.7545E-01 U( 1)1 1 6.4592E-06 R( 1)2 0 9.2801E-01 R( 0)2 1 3.9688E+01 U( 1)2 1 8.0434E-01 R( 4)2 2 9.0894E+00 U( 1)2 2 3.0240E-01 R( 1)2 3 1.0002E+00 U( 1)2 3 6.6945E-02 R( 1)2 4 2.7396E-01 U( 1)2 4 6.1317E-03 R( 1)2 5% 4.0067E-02 U( 3)2 5% 7.5494E-05 R( 1)2 6* 7.0004E-04 U( 2)2 6* 1.2399E-08 R( 1)2 7* 2.2640E-07 U( 3)2 7* 6.7723E-15 R( 1)2 0 7.0647E-01 R( 0)2 1 8.4580E-01 U( 1)2 1 2.1320E-03 R( 1)1 0 8.4370E-04 1.5562E-07 R( 0)1 1 1.6917E-03 4.9383E-01 U( 1)1 1 3.7104E-13 2.2120E-07 R( 1)1 2% 3.6009E-06 9.2830E-01 U( 6)1 2% 1.8486E-13 8.4069E-08 R( 1)1 3% 3.0706E-06 4.4494E-01 U( 6)1 3% 1.7397E-13 1.9674E-07 R( 1)1 4 2.1482E-06 4.6965E-01 U( 1)1 4 1.6397E-13 3.7146E-08 R( 1)1 5 5.4991E-07 1.2458E-01 U( 1)1 5 1.9533E-13 1.9694E-08 R( 1)1 6 1.9624E-07 3.0811E-02 U( 1)1 6 1.8154E-13 1.6209E-09 R( 1)
  37. 37. 1 7* 1.7573E-08 2.9115E-03 U( 3) 1 7* 1.7476E-13 1.1570E-11 R( 1) 1 8* 1.3067E-10 2.0966E-05 U( 3) 1 8* 1.8001E-13 3.1482E-13 R( 1) 1 9* 9.1571E-15 1.0349E-09 U( 2) 1 9* 1.6561E-13 3.1423E-13 R( 1) Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -4.37294E-08 0.00000E+00 -4.37294E-08 2 0.8167 4.37294E-08 0.00000E+00 4.37294E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.49464E-18 0.00000E+00 -3.49464E-18 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33093E-17 0.00000E+00 -4.37294E-08 2 -7.04938E-17 0.00000E+00 4.37294E-08 3 1.82730E-16 0.00000E+00 0.00000E+00 4 -3.92936E-16 0.00000E+00 -3.49464E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 1.5333 Total cpu time for Newton linear solves = 4.0667 ( 4.0667) Total cpu time for bias point = 5.6333 Total cpu time = 38.9333Solution for bias: V1 = 0.0000000E+00 V2 = 9.1250000E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess
  38. 38. o-itr i-itr psi-error n-error 1 0 6.9944E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2402E-02 R( 1) 1 2* 5.5656E-01 U( 5) 1 2* 4.9136E-03 R( 1) 1 3 1.3230E-01 U( 1) 1 3 1.2911E-04 R( 1) 1 4* 5.0420E-03 U( 2) 1 4* 1.1331E-07 R( 1) 1 5* 9.2539E-06 U( 3) 1 5* 1.4890E-13 R( 1) 1 0 7.0711E-01 R( 0) 1 1 9.7545E-01 U( 1) 1 1 7.0606E-06 R( 1) 2 0 9.2793E-01 R( 0) 2 1 3.9687E+01 U( 1) 2 1 8.0234E-01 R( 4) 2 2 9.0223E+00 U( 1) 2 2 2.9992E-01 R( 1) 2 3 9.9249E-01 U( 1) 2 3 6.6453E-02 R( 1) 2 4 2.7537E-01 U( 1) 2 4 6.0976E-03 R( 1) 2 5% 4.0474E-02 U( 3) 2 5% 7.5086E-05 R( 1) 2 6* 7.1264E-04 U( 2) 2 6* 1.2345E-08 R( 1) 2 7* 2.3471E-07 U( 3) 2 7* 7.9533E-15 R( 1) 2 0 7.0655E-01 R( 0) 2 1 8.6419E-01 U( 1) 2 1 3.4912E-03 R( 1) 1 0 9.6200E-04 2.7864E-07 R( 0) 1 1 2.0239E-03 4.4637E-01 U( 1)
  39. 39. 1 1 4.4524E-13 1.5874E-07 R( 1) 1 2% 1.6490E-06 2.7662E-01 U( 6) 1 2% 1.9396E-13 1.5394E-08 R( 1) 1 3% 9.2139E-08 2.5978E-02 U( 6) 1 3% 1.7169E-13 2.3780E-10 R( 1) 1 4% 3.1124E-09 3.2524E-03 U( 6) 1 4% 1.6627E-13 1.0307E-12 R( 1) 1 5% 2.6048E-11 8.9749E-04 U( 6) 1 5% 1.7434E-13 7.1814E-13 R( 1) 1 6% 6.7086E-12 4.8040E-04 U( 6) 1 6% 1.6716E-13 4.0428E-13 R( 1) 1 7 8.3398E-12 7.9489E-04 U( 1) 1 7 1.6005E-13 1.4644E-12 R( 1) 1 8 8.7311E-12 7.9167E-04 U( 1) 1 8 1.7043E-13 4.0829E-13 R( 1) 1 9 6.4689E-12 4.5676E-04 U( 1) 1 9 1.6796E-13 6.1830E-13 R( 1) 1 10 1.7427E-11 1.5364E-03 U( 1) 1 10 1.8427E-13 7.2630E-13 R( 1) 1 11 2.2341E-11 2.5497E-03 U( 1) 1 11 1.6646E-13 3.9159E-12 R( 1) 1 12 9.6945E-12 3.2129E-03 U( 1) 1 12 1.7638E-13 1.0928E-12 R( 1) 1 13 9.2812E-12 7.1077E-04 U( 1) 1 13 1.5123E-13 4.3608E-13 R( 1) 1 14 3.0315E-12 6.7473E-04 U( 1) 1 14 1.6034E-13 3.0544E-13 R( 1) 1 15 7.6193E-14 1.6414E-05 U( 1) 1 15 1.6701E-13 3.0540E-13 R( 1) 1 16* 3.8171E-15 2.0099E-09 U( 1) 1 16* 1.6687E-13 3.0533E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -4.79235E-08 0.00000E+00 -4.79235E-08 2 0.9125 4.79235E-08 0.00000E+00 4.79235E-08
  40. 40. 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.52210E-18 0.00000E+00 -3.52210E-18 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33121E-17 0.00000E+00 -4.79235E-08 2 -6.50563E-17 0.00000E+00 4.79235E-08 3 1.66123E-16 0.00000E+00 0.00000E+00 4 -4.06844E-16 0.00000E+00 -3.52210E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 2.3000 Total cpu time for Newton linear solves = 9.3667 ( 9.3667) Total cpu time for bias point = 11.7333 Total cpu time = 50.6667Solution for bias: V1 = 0.0000000E+00 V2 = 1.0083333E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9943E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2401E-02 R( 1) 1 2* 5.5695E-01 U( 5) 1 2* 4.9135E-03 R( 1) 1 3 1.3263E-01 U( 1) 1 3 1.2911E-04 R( 1) 1 4* 5.0670E-03 U( 2) 1 4* 1.1331E-07 R( 1)
  41. 41. 1 5* 9.3736E-06 U( 3)1 5* 1.5223E-13 R( 1)1 0 7.0711E-01 R( 0)1 1 9.7545E-01 U( 1)1 1 7.6947E-06 R( 1)2 0 9.2784E-01 R( 0)2 1 3.9687E+01 U( 1)2 1 8.0041E-01 R( 4)2 2 8.9594E+00 U( 1)2 2 2.9767E-01 R( 1)2 3 9.8535E-01 U( 1)2 3 6.6005E-02 R( 1)2 4 2.7668E-01 U( 1)2 4 6.0664E-03 R( 1)2 5% 4.0856E-02 U( 3)2 5% 7.4723E-05 R( 1)2 6* 7.2462E-04 U( 2)2 6* 1.2306E-08 R( 1)2 7* 2.4285E-07 U( 3)2 7* 7.3159E-15 R( 1)2 0 7.0655E-01 R( 0)2 1 8.7562E-01 U( 1)2 1 2.4444E-03 R( 1)1 0 1.0926E-03 2.1265E-07 R( 0)1 1 2.3705E-03 5.8313E-01 U( 1)1 1 5.4767E-13 4.6981E-07 R( 1)1 2% 2.2078E-05 5.1128E+00 U( 6)1 2% 1.6627E-13 6.4358E-07 R( 1)1 3% 4.3509E-05 1.3944E+00 U( 6)1 3% 1.1565E-06 1.5956E-07 R( -1)1 4 2.6356E-05 4.4724E-01 U( 1)1 4 1.5855E-13 8.9026E-08 R( 1)1 5% 1.9402E-06 5.5386E-01 U( 6)1 5% 1.7528E-13 2.9486E-08 R( 1)1 6% 6.5135E-07 2.7487E-02 U( 6)1 6% 2.0065E-13 1.1477E-09 R( 1)
  42. 42. 1 7% 1.2744E-08 1.1159E-03 U( 6)1 7% 1.7664E-13 3.9130E-12 R( 1)1 8% 1.0243E-10 7.9117E-03 U( 6)1 8% 1.6640E-13 4.5901E-12 R( 1)1 9% 6.7344E-11 3.4875E-03 U( 6)1 9% 1.7981E-13 6.2308E-12 R( 1)1 10 8.9369E-12 1.4073E-03 U( 1)1 10 1.7408E-13 3.6757E-13 R( 1)1 11% 1.3762E-12 5.5775E-04 U( 6)1 11% 1.7591E-13 6.1019E-13 R( 1)1 12 3.7334E-13 1.2621E-04 U( 1)1 12 1.7013E-13 3.8871E-13 R( 1)1 13 6.4737E-13 1.3951E-04 U( 1)1 13 1.6731E-13 3.4955E-13 R( 1)1 14 3.4341E-12 8.6616E-04 U( 1)1 14 1.7784E-13 9.9321E-13 R( 1)1 15 4.3337E-12 9.0192E-04 U( 1)1 15 1.8394E-13 4.0652E-13 R( 1)1 16 4.0365E-12 1.4231E-04 U( 1)1 16 1.7806E-13 3.5243E-13 R( 1)1 17 1.1725E-12 3.0465E-04 U( 1)1 17 1.7156E-13 4.0081E-13 R( 1)1 18 8.8589E-13 2.6993E-04 U( 1)1 18 1.8099E-13 3.4879E-13 R( 1)1 19 4.3456E-12 1.1510E-03 U( 1)1 19 1.8629E-13 1.3618E-12 R( 1)1 20 1.5453E-11 1.9361E-03 U( 1)1 20 1.7492E-13 9.5460E-13 R( 1)**** Convergence problem - take smaller step ****
  43. 43. Solution for bias: V1 = 0.0000000E+00 V2 = 9.6041667E-01 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9920E-01 R( 0) 1 1 1.8536E+00 U( 1) 1 1 1.0900E-02 R( 1) 1 2* 1.6334E-01 U( 4) 1 2* 2.7856E-04 R( 1) 1 3% 6.7154E-03 U( 4) 1 3% 3.4209E-07 R( 1) 1 4* 1.0737E-05 U( 2) 1 4* 6.0096E-13 R( 1) 1 5* 3.6757E-11 U( 2) 1 5* 3.8314E-15 R( 1) 1 0 7.0711E-01 R( 0) 1 1 8.4332E-01 U( 1) 1 1 1.2093E-05 R( 1) 2 0 9.8263E-01 R( 0) 2 1 5.3826E+00 U( 1) 2 1 3.1488E-01 R( 3) 2 2 9.3992E-01 U( 1) 2 2 3.7106E-02 R( 1) 2 3 1.4215E-01 U( 1) 2 3 1.1231E-03 R( 1) 2 4* 8.8414E-03 U( 3) 2 4* 2.8101E-06 R( 1) 2 5% 2.8661E-05 U( 3) 2 5% 2.0866E-11 R( 1) 2 6* 2.7985E-10 U( 1) 2 6* 1.0142E-14 R( 1) 2 0 7.0476E-01 R( 0)
  44. 44. 2 1 6.4258E-01 U( 1) 2 1 2.3623E-03 R( 1) 1 0 1.5732E-04 8.7532E-08 R( 0) 1 1 6.5726E-04 2.6623E-01 U( 1) 1 1 1.5753E-13 1.5552E-08 R( 1) 1 2% 4.3103E-07 2.8700E-02 U( 6) 1 2% 1.7385E-13 1.4313E-10 R( 1) 1 3* 2.3068E-09 2.0598E-03 U( 5) 1 3* 1.9542E-13 6.2054E-13 R( 1) 1 4* 8.5281E-12 1.8063E-05 U( 5) 1 4* 2.0895E-13 3.8865E-13 R( 1) 1 5* 5.4871E-15 4.3727E-09 U( 2) 1 5* 2.0049E-13 3.8835E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -5.01098E-08 0.00000E+00 -5.01098E-08 2 0.9604 5.01099E-08 0.00000E+00 5.01099E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.53534E-18 0.00000E+00 -3.53534E-18Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33135E-17 0.00000E+00 -5.01098E-08 2 -6.23322E-17 0.00000E+00 5.01099E-08 3 1.57827E-16 0.00000E+00 0.00000E+00 4 -4.13792E-16 0.00000E+00 -3.53534E-18Convergence criterion completely metTotal cpu time for Newton equation assembly = 1.0667Total cpu time for Newton linear solves = 1.6667 ( 1.6667)Total cpu time for bias point = 2.7667Total cpu time = 68.7000
  45. 45. Solution for bias: V1 = 0.0000000E+00 V2 = 1.0083333E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9919E-01 R( 0) 1 1 1.8536E+00 U( 1) 1 1 1.0899E-02 R( 1) 1 2* 1.6346E-01 U( 4) 1 2* 2.7856E-04 R( 1) 1 3% 6.7270E-03 U( 4) 1 3% 3.4209E-07 R( 1) 1 4* 1.0769E-05 U( 2) 1 4* 6.0086E-13 R( 1) 1 5* 3.7031E-11 U( 2) 1 5* 3.0157E-15 R( 1) 1 0 7.0711E-01 R( 0) 1 1 8.4332E-01 U( 1) 1 1 1.2618E-05 R( 1) 2 0 9.8263E-01 R( 0) 2 1 5.3826E+00 U( 1) 2 1 3.1297E-01 R( 3) 2 2 9.3781E-01 U( 1) 2 2 3.6673E-02 R( 1) 2 3 1.4182E-01 U( 1) 2 3 1.1108E-03 R( 1) 2 4* 8.7952E-03 U( 3) 2 4* 2.7676E-06 R( 1) 2 5% 2.8346E-05 U( 3) 2 5% 2.0251E-11 R( 1) 2 6* 2.7349E-10 U( 1) 2 6* 8.7714E-15 R( 1)
  46. 46. 2 0 7.0476E-01 R( 0) 2 1 6.4945E-01 U( 1) 2 1 2.2903E-03 R( 1) 1 0 1.6716E-04 8.8549E-08 R( 0) 1 1 7.0432E-04 2.7094E-01 U( 1) 1 1 1.9227E-13 5.3565E-08 R( 1) 1 2% 5.5596E-07 3.7925E-02 U( 6) 1 2% 1.6366E-13 8.6241E-09 R( 1) 1 3% 8.1904E-08 8.1583E-03 U( 6) 1 3% 1.8830E-13 1.6981E-10 R( 1) 1 4% 1.7777E-09 2.9303E-03 U( 6) 1 4% 1.8266E-13 3.6289E-12 R( 1) 1 5% 3.5966E-12 5.0458E-04 U( 6) 1 5% 1.8167E-13 2.6314E-12 R( 1) 1 6% 2.0313E-10 1.3410E-02 U( 6) 1 6% 1.6777E-13 2.0519E-11 R( 1) 1 7 3.5517E-10 1.7184E-02 U( 1) 1 7 1.9502E-13 8.8135E-12 R( 1) 1 8 9.5161E-11 5.5276E-03 U( 1) 1 8 1.8937E-13 4.7453E-13 R( 1) 1 9% 6.2419E-12 5.8175E-04 U( 6) 1 9% 1.8395E-13 4.0148E-13 R( 1) 1 10% 3.6883E-13 1.5018E-04 U( 6) 1 10% 1.7903E-13 3.5088E-13 R( 1) 1 11* 1.6273E-12 4.0242E-04 U( 4) 1 11* 1.7188E-13 4.6943E-13 R( 1) 1 12 9.5594E-13 3.3173E-04 U( 1) 1 12 1.7975E-13 3.4968E-13 R( 1) 1 13 2.0895E-12 4.5572E-04 U( 1) 1 13 1.7153E-13 6.8726E-13 R( 1) 1 14 1.1091E-12 5.8381E-05 U( 1) 1 14 1.7519E-13 3.3975E-13 R( 1) 1 15 2.5143E-14 4.2278E-06 U( 1) 1 15 1.6814E-13 3.3394E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current
  47. 47. (Volts) (Amps) (Amps) (Amps) 1 0.0000 -5.23574E-08 0.00000E+00 -5.23574E-08 2 1.0083 5.23574E-08 0.00000E+00 5.23574E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.54826E-18 0.00000E+00 -3.54826E-18 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33149E-17 0.00000E+00 -5.23574E-08 2 -5.96046E-17 0.00000E+00 5.23574E-08 3 1.49536E-16 0.00000E+00 0.00000E+00 4 -4.20736E-16 0.00000E+00 -3.54826E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 2.1667 Total cpu time for Newton linear solves = 8.9667 ( 8.9667) Total cpu time for bias point = 11.2333 Total cpu time = 79.9333Solution for bias: V1 = 0.0000000E+00 V2 = 1.1041667E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9942E-01 R( 0) 1 1 3.7071E+00 U( 1) 1 1 4.2400E-02 R( 1) 1 2* 5.5736E-01 U( 5) 1 2* 4.9134E-03 R( 1) 1 3 1.3296E-01 U( 1)
  48. 48. 1 3 1.2911E-04 R( 1)1 4* 5.0927E-03 U( 2)1 4* 1.1330E-07 R( 1)1 5* 9.4968E-06 U( 3)1 5* 1.5593E-13 R( 1)1 0 7.0711E-01 R( 0)1 1 9.7545E-01 U( 1)1 1 8.3652E-06 R( 1)2 0 9.2775E-01 R( 0)2 1 3.9687E+01 U( 1)2 1 7.9856E-01 R( 4)2 2 8.9001E+00 U( 1)2 2 2.9562E-01 R( 1)2 3 9.7875E-01 U( 1)2 3 6.5598E-02 R( 1)2 4 2.7791E-01 U( 1)2 4 6.0377E-03 R( 1)2 5% 4.1218E-02 U( 3)2 5% 7.4400E-05 R( 1)2 6* 7.3608E-04 U( 2)2 6* 1.2278E-08 R( 1)2 7* 2.5082E-07 U( 3)2 7* 1.2846E-14 R( 1)2 0 7.0655E-01 R( 0)2 1 9.2051E-01 U( 1)2 1 2.3747E-03 R( 1)1 0 1.2350E-03 2.2462E-07 R( 0)1 1 2.7858E-03 1.2414E+00 U( 1)1 1 7.2735E-13 8.8630E-08 R( 1)1 2% 1.6968E-06 2.2202E-01 U( 6)1 2% 2.5470E-13 6.1125E-09 R( 1)1 3% 4.9852E-08 3.2382E-02 U( 6)1 3% 2.7089E-13 8.3021E-10 R( 1)1 4% 1.5095E-09 7.3922E-03 U( 6)1 4% 2.9862E-13 1.2643E-10 R( 1)1 5% 5.1122E-10 7.2754E-04 U( 6)
  49. 49. 1 5% 2.9192E-13 9.8037E-13 R( 1)1 6% 9.6806E-12 1.0372E-03 U( 6)1 6% 2.8749E-13 8.2735E-13 R( 1)1 7% 7.3245E-12 8.0092E-04 U( 6)1 7% 2.9063E-13 6.2677E-13 R( 1)1 8 6.4447E-12 6.6384E-04 U( 1)1 8 2.8675E-13 8.2819E-13 R( 1)1 9 2.1903E-12 3.2525E-04 U( 1)1 9 2.8669E-13 6.4152E-13 R( 1)1 10 3.1327E-12 4.7432E-04 U( 1)1 10 3.0177E-13 6.2504E-13 R( 1)1 11 1.7963E-10 3.1151E-02 U( 1)1 11 2.7380E-13 3.7562E-11 R( 1)1 12 2.9766E-10 1.6568E-02 U( 1)1 12 2.9749E-13 2.7143E-11 R( 1)1 13 1.3324E-10 1.8643E-02 U( 1)1 13 2.8884E-13 4.4687E-12 R( 1)1 14 8.7514E-11 6.3009E-03 U( 1)1 14 2.8539E-13 1.0720E-12 R( 1)1 15 1.2522E-11 1.3150E-03 U( 1)1 15 2.9346E-13 3.2628E-12 R( 1)1 16 2.0674E-11 2.0273E-03 U( 1)1 16 2.9392E-13 7.2297E-13 R( 1)1 17 1.6083E-11 1.5557E-03 U( 1)1 17 2.8596E-13 2.3748E-12 R( 1)1 18 1.1782E-11 1.3278E-03 U( 1)1 18 2.8999E-13 7.1796E-13 R( 1)1 19 8.7441E-12 8.6894E-04 U( 1)1 19 2.8936E-13 1.5947E-12 R( 1)1 20 1.6276E-12 2.7389E-04 U( 1)1 20 2.8948E-13 2.3202E-12 R( 1)**** Convergence problem - take smaller step ****
  50. 50. Solution for bias: V1 = 0.0000000E+00 V2 = 1.0562500E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9918E-01 R( 0) 1 1 1.8536E+00 U( 1) 1 1 1.0899E-02 R( 1) 1 2* 1.6358E-01 U( 4) 1 2* 2.7855E-04 R( 1) 1 3% 6.7388E-03 U( 4) 1 3% 3.4209E-07 R( 1) 1 4* 1.0802E-05 U( 2) 1 4* 6.0069E-13 R( 1) 1 5* 3.7307E-11 U( 2) 1 5* 5.5416E-15 R( 1) 1 0 7.0711E-01 R( 0) 1 1 8.4332E-01 U( 1) 1 1 1.3158E-05 R( 1) 2 0 9.8263E-01 R( 0) 2 1 5.3826E+00 U( 1) 2 1 3.1111E-01 R( 3) 2 2 9.3577E-01 U( 1) 2 2 3.6256E-02 R( 1) 2 3 1.4150E-01 U( 1) 2 3 1.0991E-03 R( 1) 2 4* 8.7507E-03 U( 3) 2 4* 2.7268E-06 R( 1) 2 5% 2.8044E-05 U( 3) 2 5% 1.9671E-11 R( 1)
  51. 51. 2 6* 2.6747E-10 U( 1) 2 6* 1.2533E-14 R( 1) 2 0 7.0477E-01 R( 0) 2 1 6.5514E-01 U( 1) 2 1 1.5427E-03 R( 1) 1 0 1.7738E-04 6.2201E-08 R( 0) 1 1 7.5262E-04 2.7286E-01 U( 1) 1 1 3.5105E-13 3.4992E-08 R( 1) 1 2% 6.3674E-07 6.8226E-02 U( 6) 1 2% 2.3173E-13 5.1466E-09 R( 1) 1 3% 8.9309E-08 1.2861E-02 U( 6) 1 3% 2.2920E-13 1.4867E-10 R( 1) 1 4% 2.8324E-09 5.3373E-03 U( 6) 1 4% 2.4653E-13 1.0553E-12 R( 1) 1 5% 3.8315E-12 5.7039E-03 U( 6) 1 5% 2.4103E-13 8.0641E-13 R( 1) 1 6% 4.9765E-12 5.8450E-04 U( 6) 1 6% 2.4077E-13 7.4060E-13 R( 1) 1 7 7.4314E-12 1.2352E-03 U( 1) 1 7 2.3809E-13 2.3510E-12 R( 1) 1 8 4.6388E-12 4.7905E-04 U( 1) 1 8 2.4158E-13 1.0559E-12 R( 1) 1 9 1.8180E-13 5.6814E-05 U( 1) 1 9 2.3967E-13 5.1336E-13 R( 1) 1 10* 3.3816E-14 1.0968E-05 U( 3) 1 10* 2.4535E-13 4.9765E-13 R( 1) 1 11 7.0916E-15 2.0714E-07 U( 1) 1 11 2.4413E-13 4.9757E-13 R( 1)Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -5.46675E-08 0.00000E+00 -5.46675E-08 2 1.0562 5.46675E-08 0.00000E+00 5.46675E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.56087E-18 0.00000E+00 -3.56087E-18
  52. 52. Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33163E-17 0.00000E+00 -5.46675E-08 2 -5.68736E-17 0.00000E+00 5.46675E-08 3 1.41249E-16 0.00000E+00 0.00000E+00 4 -4.27677E-16 0.00000E+00 -3.56087E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 1.6667 Total cpu time for Newton linear solves = 6.5667 ( 6.5667) Total cpu time for bias point = 8.2667 Total cpu time = 103.3333Solution for bias: V1 = 0.0000000E+00 V2 = 1.1041667E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9917E-01 R( 0) 1 1 1.8536E+00 U( 1) 1 1 1.0899E-02 R( 1) 1 2* 1.6369E-01 U( 4) 1 2* 2.7855E-04 R( 1) 1 3% 6.7507E-03 U( 4) 1 3% 3.4209E-07 R( 1) 1 4* 1.0835E-05 U( 2) 1 4* 6.0059E-13 R( 1) 1 5* 3.7584E-11 U( 2) 1 5* 4.3272E-15 R( 1) 1 0 7.0711E-01 R( 0)
  53. 53. 1 1 8.4332E-01 U( 1)1 1 1.3713E-05 R( 1)2 0 9.8262E-01 R( 0)2 1 5.3826E+00 U( 1)2 1 3.0930E-01 R( 3)2 2 9.3379E-01 U( 1)2 2 3.5855E-02 R( 1)2 3 1.4119E-01 U( 1)2 3 1.0878E-03 R( 1)2 4* 8.7079E-03 U( 3)2 4* 2.6878E-06 R( 1)2 5% 2.7755E-05 U( 3)2 5% 1.9122E-11 R( 1)2 6* 2.6176E-10 U( 1)2 6* 1.5513E-14 R( 1)2 0 7.0478E-01 R( 0)2 1 6.5999E-01 U( 1)2 1 1.3037E-03 R( 1)1 0 1.8798E-04 5.4786E-08 R( 0)1 1 8.0215E-04 2.7488E-01 U( 1)1 1 3.3059E-13 3.3120E-09 R( 1)1 2% 3.9702E-07 3.4330E-02 U( 6)1 2% 2.7849E-13 1.1586E-10 R( 1)1 3% 1.4518E-09 3.0085E-03 U( 6)1 3% 3.0107E-13 1.6189E-12 R( 1)1 4% 2.9305E-11 3.1330E-03 U( 6)1 4% 2.9308E-13 2.5269E-12 R( 1)1 5% 1.7888E-11 3.2290E-03 U( 6)1 5% 2.9247E-13 7.6340E-13 R( 1)1 6 1.1911E-11 2.0370E-04 U( 1)1 6 2.8753E-13 6.2021E-13 R( 1)1 7% 8.4251E-12 9.0136E-04 U( 6)1 7% 2.8831E-13 7.6510E-13 R( 1)1 8 6.5286E-12 7.1014E-04 U( 1)1 8 2.9439E-13 6.2229E-13 R( 1)1 9 8.1286E-12 8.5029E-04 U( 1)
  54. 54. 1 9 2.8488E-13 1.0701E-12 R( 1) 1 10 1.6822E-12 2.1595E-04 U( 1) 1 10 2.9737E-13 1.4420E-12 R( 1) 1 11 3.2684E-13 1.4316E-04 U( 1) 1 11 2.8769E-13 1.0163E-12 R( 1) 1 12 3.5431E-13 1.4977E-04 U( 1) 1 12 2.9609E-13 1.4739E-12 R( 1) 1 13 3.5778E-13 1.5183E-04 U( 1) 1 13 2.8776E-13 1.0258E-12 R( 1) 1 14 3.6047E-13 1.5397E-04 U( 1) 1 14 2.9344E-13 1.4913E-12 R( 1) 1 15 3.6683E-13 1.5500E-04 U( 1) 1 15 2.8716E-13 1.0306E-12 R( 1) 1 16 3.6828E-13 1.5610E-04 U( 1) 1 16 2.9115E-13 1.5001E-12 R( 1) 1 17 3.6703E-13 1.5661E-04 U( 1) 1 17 2.8701E-13 1.0330E-12 R( 1) 1 18 3.7069E-13 1.5719E-04 U( 1) 1 18 2.8922E-13 1.5046E-12 R( 1) 1 19 3.6621E-13 1.5744E-04 U( 1) 1 19 2.9476E-13 1.0343E-12 R( 1) 1 20 3.7082E-13 1.5775E-04 U( 1) 1 20 2.9121E-13 1.5069E-12 R( 1) **** Convergence problem - take smaller step ****Solution for bias: V1 = 0.0000000E+00 V2 = 1.0802083E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00
  55. 55. Previous solution used as initial guesso-itr i-itr psi-error n-error 1 0 6.9788E-01 R( 0) 1 1 9.2679E-01 U( 1) 1 1 4.1720E-03 R( 1) 1 2* 4.1129E-02 U( 3) 1 2* 2.3290E-05 R( 1) 1 3% 3.3960E-04 U( 4) 1 3% 1.4392E-09 R( 1) 1 4* 2.5144E-08 U( 2) 1 4* 1.1333E-14 R( 1) 1 0 7.0711E-01 R( 0) 1 1 6.0418E-01 U( 1) 1 1 1.1519E-05 R( 1) 2 0 9.8439E-01 R( 0) 2 1 1.5264E+00 U( 1) 2 1 3.7750E-01 R( 2) 2 2 1.8940E-01 U( 1) 2 2 3.7481E-02 R( 1) 2 3* 2.2772E-02 U( 2) 2 3* 4.2526E-04 R( 1) 2 4% 2.6763E-04 U( 3) 2 4% 5.6015E-08 R( 1) 2 5* 3.5858E-08 U( 2) 2 5* 2.2729E-14 R( 1) 2 0 7.0266E-01 R( 0) 2 1 4.1534E-01 U( 1) 2 1 1.1932E-03 R( 1) 1 0 5.5987E-05 2.3954E-08 R( 0) 1 1 3.1441E-04 1.5637E-01 U( 1) 1 1 3.0204E-13 1.8509E-09 R( 1) 1 2% 1.1164E-07 8.6493E-03 U( 6) 1 2% 2.3733E-13 1.9971E-11 R( 1) 1 3* 7.3153E-10 1.0106E-04 U( 3) 1 3* 2.5336E-13 5.2023E-13 R( 1)
  56. 56. 1 4* 8.8811E-14 1.3399E-07 U( 2) 1 4* 2.5666E-13 5.1985E-13 R( 1) Electrode Voltage Electron Current Hole Current Conduction Current (Volts) (Amps) (Amps) (Amps) 1 0.0000 -5.58464E-08 0.00000E+00 -5.58464E-08 2 1.0802 5.58464E-08 0.00000E+00 5.58464E-08 3 0.0000 0.00000E+00 0.00000E+00 0.00000E+00 4 0.0000 -3.56706E-18 0.00000E+00 -3.56706E-18 Electrode Flux Displacement Current Total Current (Coul) (Amps) (Amps) 1 -8.33170E-17 0.00000E+00 -5.58464E-08 2 -5.55069E-17 0.00000E+00 5.58464E-08 3 1.37107E-16 0.00000E+00 0.00000E+00 4 -4.31147E-16 0.00000E+00 -3.56706E-18 Convergence criterion completely met Total cpu time for Newton equation assembly = 0.9667 Total cpu time for Newton linear solves = 1.5000 ( 1.5000) Total cpu time for bias point = 2.5000 Total cpu time = 120.8667Solution for bias: V1 = 0.0000000E+00 V2 = 1.1041667E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9787E-01 R( 0) 1 1 9.2679E-01 U( 1)
  57. 57. 1 1 4.1720E-03 R( 1)1 2* 4.1144E-02 U( 3)1 2* 2.3290E-05 R( 1)1 3% 3.3984E-04 U( 4)1 3% 1.4392E-09 R( 1)1 4* 2.5184E-08 U( 2)1 4* 1.0465E-14 R( 1)1 0 7.0711E-01 R( 0)1 1 6.0418E-01 U( 1)1 1 1.1758E-05 R( 1)2 0 9.8440E-01 R( 0)2 1 1.5264E+00 U( 1)2 1 3.7790E-01 R( 2)2 2 1.8956E-01 U( 1)2 2 3.7548E-02 R( 1)2 3* 2.2811E-02 U( 2)2 3* 4.2674E-04 R( 1)2 4% 2.6856E-04 U( 3)2 4% 5.6406E-08 R( 1)2 5* 3.6108E-08 U( 2)2 5* 1.7975E-14 R( 1)2 0 7.0266E-01 R( 0)2 1 4.1726E-01 U( 1)2 1 1.1126E-03 R( 1)1 0 5.7583E-05 2.2796E-08 R( 0)1 1 3.2401E-04 1.5692E-01 U( 1)1 1 2.7109E-13 7.0929E-10 R( 1)1 2% 1.1171E-07 6.5739E-03 U( 6)1 2% 2.9862E-13 4.9402E-12 R( 1)1 3% 6.8813E-11 1.4271E-03 U( 6)1 3% 2.8558E-13 9.7782E-13 R( 1)1 4% 2.9956E-11 3.2516E-03 U( 6)1 4% 2.9039E-13 6.7360E-12 R( 1)1 5 3.1182E-11 4.0320E-03 U( 1)1 5 2.8633E-13 6.5690E-13 R( 1)1 6% 3.5523E-12 1.0644E-03 U( 6)
  58. 58. 1 6% 2.8789E-13 8.1830E-13 R( 1)1 7 4.3375E-12 5.6622E-04 U( 1)1 7 2.8774E-13 6.5021E-13 R( 1)1 8 4.7728E-12 4.9438E-04 U( 1)1 8 2.9061E-13 6.2403E-13 R( 1)1 9 4.9841E-12 5.3364E-04 U( 1)1 9 2.8594E-13 6.4670E-13 R( 1)1 10 4.8076E-12 5.2025E-04 U( 1)1 10 2.9702E-13 6.2034E-13 R( 1)1 11 5.7674E-12 6.1967E-04 U( 1)1 11 2.9117E-13 6.6534E-13 R( 1)1 12 5.0732E-12 5.4842E-04 U( 1)1 12 2.9113E-13 6.1860E-13 R( 1)1 13 1.6303E-11 1.7438E-03 U( 1)1 13 2.9132E-13 1.3072E-12 R( 1)1 14 1.1879E-11 1.4022E-03 U( 1)1 14 2.8699E-13 6.5443E-13 R( 1)1 15 5.8194E-12 4.9294E-04 U( 1)1 15 2.9085E-13 6.2568E-13 R( 1)1 16 3.5663E-12 3.8763E-04 U( 1)1 16 2.9316E-13 6.2280E-13 R( 1)1 17 5.3977E-12 5.7685E-04 U( 1)1 17 2.9439E-13 6.8063E-13 R( 1)1 18 2.2433E-12 2.4522E-04 U( 1)1 18 2.9617E-13 6.2105E-13 R( 1)1 19 5.0896E-12 5.3711E-04 U( 1)1 19 2.9437E-13 6.4582E-13 R( 1)1 20 4.8047E-12 5.1722E-04 U( 1)1 20 2.9554E-13 6.2056E-13 R( 1)**** Convergence problem - take smaller step ****
  59. 59. Solution for bias: V1 = 0.0000000E+00 V2 = 1.0921875E+00 V3 = 0.0000000E+00 V4 = 0.0000000E+00 Previous solution used as initial guess o-itr i-itr psi-error n-error 1 0 6.9220E-01 R( 0) 1 1 4.6339E-01 U( 1) 1 1 1.8381E-03 R( 1) 1 2* 1.0149E-02 U( 3) 1 2* 2.3710E-06 R( 1) 1 3% 1.8943E-05 U( 4) 1 3% 8.1315E-12 R( 1) 1 4* 7.7355E-11 U( 1) 1 4* 1.7257E-14 R( 1) 1 0 7.0711E-01 R( 0) 1 1 3.7085E-01 U( 1) 1 1 7.4336E-06 R( 1) 2 0 9.6763E-01 R( 0) 2 1 5.8946E-01 U( 1) 2 1 3.4936E-01 R( 1) 2 2 1.1844E-01 U( 1) 2 2 1.9837E-02 R( 1) 2 3* 7.5934E-03 U( 2) 2 3* 7.4857E-05 R( 1) 2 4% 2.9109E-05 U( 3) 2 4% 1.0782E-09 R( 1) 2 5* 4.2369E-10 U( 1) 2 5* 3.2598E-14 R( 1) 2 0 6.9835E-01 R( 0) 2 1 2.3600E-01 U( 1) 2 1 1.1212E-03 R( 1) 1 0 2.2898E-05 1.1283E-08 R( 0)

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