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Efficient automatic quadrature in 3-D Galerkin BEM

Date

Date

Date
1998
Journal Article
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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. https://doi.org/10.1016/S0045-7825(97)00236-3

Abstract

Abstract

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

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174 since deposited on 2010-11-29
Acq. date: 2025-11-12

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7th Conference on Numerical Methods and Computational Mechanics in Science and Engineering (NMCM 96), MISKOLC, HUNGARY, JUL 15-19, 1996

Creators (Authors)

  • Erichsen, S
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
157

Number

Number

Number
3-4

Page range/Item number

Page range/Item number

Page range/Item number
215

Page end

Page end

Page end
224

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

automatic quadrature, Fredholm integral equations, boundary element method, cubature methods, surface integrals, Galerkin discretization, boundary integral equations, numerical experiments

Language

Language

Language
English

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Publication date

Publication date
1998

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Date available
2010-11-29

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Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0045-7825

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OA Status

OA Status
Closed

Metrics

Views

174 since deposited on 2010-11-29
Acq. date: 2025-11-12

Citations

Citation copied

Erichsen, S. (1998). Efficient automatic quadrature in 3-D Galerkin BEM. Computer Methods in Applied Mechanics and Engineering, 157(3–4), 215–224. https://doi.org/10.1016/S0045-7825(97)00236-3

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