3D Galerkin Integration Without Stokes' Theorem
نویسنده
چکیده
A direct approach to calculating the hypersingular integral for a threedimensional Galerkin approximation is presented. The method does not employ either Stokes' Theorem or a regularization process to transform the integrand before the evaluation is carried out. Integrating two of the four dimensions analytically, the potentially divergent terms arising from the coincident and adjacent edge integrations are identi ed and canceled exactly. The method is presented in the simplest possible situation, the hypersingular kernel for the Laplace equation, and linear triangular elements.
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