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This paper proposes the use of quadrangular Bézier
patches to model and modify the shape of the boundary for
linear elasticity problems in 3D. The representation of the
boundary in this way derives directly from computer graphics
and have been analytically included in developed by the
authors parametric integral equation systems (PIES). PIES
are the modified classical boundary integral equations (BIE)
in which the shape of the boundary can be modeled using a
wide range of parametric curves and surfaces. The proposed
approach eliminates the need for domain and boundary
discretization in the process of solving boundary value
problems, in contrast to popular traditional methods like FEM
and BEM. On the basis of the proposed approach, a computer
code has been written and examined through numerical
examples.
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