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Galerkin boundary integral method for evaluating surface derivatives. (English) Zbl 0928.74110

Summary: We present a Galerkin boundary integral procedure for evaluating the complete derivative, e.g., potential gradient or stress tensor. The expressions for these boundary derivatives involve hypersingular kernels, and the advantage of the Galerkin approach is that the integrals exist when a continuous surface interpolation is employed. As a consequence, nodal derivative values, at smooth surface points or at corners, can be obtained directly. This method is applied to the problem of electromigration-driven void dynamics in thin film aluminum interconnects. In this application, the tangential component of the electric field on the boundary is required to compute the flux of atoms at the void surface.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74M25 Micromechanics of solids
78A55 Technical applications of optics and electromagnetic theory
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