UZH-Logo

Maintenance Infos

Efficient automatic quadrature in 3-D Galerkin BEM


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

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.

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.

Citations

41 citations in Web of Science®
45 citations in Scopus®
Google Scholar™

Altmetrics

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
Dewey Decimal Classification: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:05 Apr 2016 13:26
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

Download

Full text not available from this repository.View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations