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.
| Other titles: | 7th Conference on Numerical Methods and Computational Mechanics in Science and Engineering (NMCM 96), MISKOLC, HUNGARY, JUL 15-19, 1996 |
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| Item Type: | Journal Article, refereed, original work |
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| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
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| Dewey Decimal Classification: | 510 Mathematics |
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| Scopus Subject Areas: | Physical Sciences > Computational Mechanics
Physical Sciences > Mechanics of Materials
Physical Sciences > Mechanical Engineering
Physical Sciences > General Physics and Astronomy
Physical Sciences > Computer Science Applications |
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| Uncontrolled Keywords: | automatic quadrature, Fredholm integral equations, boundary element method, cubature methods, surface integrals, Galerkin discretization, boundary integral equations, numerical experiments |
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| Language: | English |
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| Date: | 1998 |
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| Deposited On: | 29 Nov 2010 16:28 |
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| Last Modified: | 07 Jul 2025 03:41 |
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| Publisher: | Elsevier |
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| ISSN: | 0045-7825 |
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| OA Status: | Closed |
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| Publisher DOI: | https://doi.org/10.1016/S0045-7825(97)00236-3 |
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| Related URLs: | http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0943.65139 |
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Erichsen, S