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Erichsen, S (1998). Efficient automatic quadrature in 3-D Galerkin BEM. Computer Methods in Applied Mechanics and Engineering, 157(3-4):215-224.

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Abstract

We present cubature methods approximating the surface integrals arising by Galerkin discretization of boundary integral equations on surfaces in 3. 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 sub routine for evaluating the kernel function. We will present formulae to determine the minimal order of the cubature methods for a required accuracy. Emphasis is laid on numerical experiments confirming the theoretical results.

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40 citations in Web of Science®
44 citations in Scopus®
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Additional indexing

Other titles:7th Conference on Numerical Methods and Computational Mechanics in Science and Engineering (NMCM 96), MISKOLC, HUNGARY, JUL 15-19, 1996
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:automatic quadrature; Fredholm integral equations; boundary element method; cubature methods; surface integrals; Galerkin discretization; boundary integral equations; numerical experiments
Language:English
Date:1998
Deposited On:29 Nov 2010 16:28
Last Modified:27 Nov 2013 23:12
Publisher:Elsevier
ISSN:0045-7825
Publisher DOI:10.1016/S0045-7825(97)00236-3
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0943.65139

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