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1. The Way which is Leading toward BEM
To gaina feeling of transforming adifferential formulationtoits
corresponding boundary integral formulation, andtohave a rough
knowledge of how the boundary element methodworks. Sevenstages
are to be identifiedinworking out the example.
Sevenstages are tobe identifiedinworking out the example of
problem.
Stage 1:Find the fundamental solutionof the governing equation.
Stage 2:Derive a formulaof two fieldvariables whichconvertsdomain
integrals into
boundary integrals.
Stage 3:Obtainthe BIE for a domain point.
Stage 4:Let x approach to the boundary and obtain the BIE for a
boundary point.
Stage 5:Choose a finite number of boundary points discritizethe BIE’s
for the boundary points, and put the discreditedBIE's inmatrix form.
Stage 6:With the aid of the prescribedboundary conditions solve the
matrix equation.
Stage 7: Solve for the domain points by using the BIE for a domain
point.
A boundary value problemis a problem, givensome data on the
boundary B, to solve for the rest of informationonthe boundary B and
in the domain D.

4. Differential equation and Boundary Conditions

5. Step by Step Solution Using BEM/BIE