On the computation of the derivatives of potentials on a boundary by using boundary-integral equations

A. Sellier

doi:10.1016/j.cma.2006.05.003

On the computation of the derivatives of potentials on a boundary by using boundary-integral equations

A. Sellier

Research output: Contribution to journal › Article › peer-review

Abstract

This work presents a new recursion scheme to compute the cartesian derivatives of potentials on the smooth surface of a connected solid. The advocated strategy solely appeals to boundary-integral equations and a very few informations regarding the surface geometry. The whole algorithm is carefully tested against analytical solutions both for interior and exterior problems by implementing a collocation points method.

Original language	English
Pages (from-to)	489-501
Number of pages	13
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	196
Issue number	1-3
DOIs	https://doi.org/10.1016/j.cma.2006.05.003
Publication status	Published - 1 Dec 2006

Keywords

Boundary element method
Boundary-integral equation
Harmonic function

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10.1016/j.cma.2006.05.003

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title = "On the computation of the derivatives of potentials on a boundary by using boundary-integral equations",

abstract = "This work presents a new recursion scheme to compute the cartesian derivatives of potentials on the smooth surface of a connected solid. The advocated strategy solely appeals to boundary-integral equations and a very few informations regarding the surface geometry. The whole algorithm is carefully tested against analytical solutions both for interior and exterior problems by implementing a collocation points method.",

keywords = "Boundary element method, Boundary-integral equation, Harmonic function",

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N2 - This work presents a new recursion scheme to compute the cartesian derivatives of potentials on the smooth surface of a connected solid. The advocated strategy solely appeals to boundary-integral equations and a very few informations regarding the surface geometry. The whole algorithm is carefully tested against analytical solutions both for interior and exterior problems by implementing a collocation points method.

AB - This work presents a new recursion scheme to compute the cartesian derivatives of potentials on the smooth surface of a connected solid. The advocated strategy solely appeals to boundary-integral equations and a very few informations regarding the surface geometry. The whole algorithm is carefully tested against analytical solutions both for interior and exterior problems by implementing a collocation points method.

KW - Boundary element method

KW - Boundary-integral equation

KW - Harmonic function

U2 - 10.1016/j.cma.2006.05.003

DO - 10.1016/j.cma.2006.05.003

M3 - Article

AN - SCOPUS:33846546527

SN - 0045-7825

VL - 196

SP - 489

EP - 501

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 1-3

ER -

On the computation of the derivatives of potentials on a boundary by using boundary-integral equations

Abstract

Keywords

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