96-15   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Stefan Erichsen, Stefan A. Sauter:

Efficient automatic quadrature in 3-d Galerkin BEM

We present cubature methods approximating the surface integrals arising by Galerkin discretization of boundary integral equations on surfaces in R3. This numerical integrator does not depend on the explicit form of the kernel function, the trial and test space, or the surface parametrization. Thus, it is possible to generate the system matrix for a broad class of integral equations just by replacing the subroutine for evaluating the kernel function. We will present formulae to determine the minimal order of the cubature methods for a required accuracy. Emphasize is laid on numerical experiments confirming the theoretical results.

Bibliographical note: Computer Methods in Applied Mechanics and Engineering 157, Elsevier, 215-224 (1998)


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