h-adaptive boundary element schemes

Carsten Carstensen; D. Estep; P. Stephan

doi:10.1007/BF00372275

h-adaptive boundary element schemes

Carsten Carstensen, D. Estep, P. Stephan

School of Mathematical & Computer Sciences

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

13 Citations (Scopus)

Abstract

We consider an h-adaptive algorithm for the boundary element method applied to two integral equations of the first kind on polygons, namely Symm's integral equation and the hypersingular equation with the normal derivative of the double layer potential. Our reliable and operative algorithm is based on new a posteriori estimates for the boundary element Galerkin solution. Numerical experiments show the effectivity of the algorithm. © 1995 Springer-Verlag.

Original language	English
Pages (from-to)	372-383
Number of pages	12
Journal	Computational Mechanics
Volume	15
Issue number	4
DOIs	https://doi.org/10.1007/BF00372275
Publication status	Published - Jan 1995

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10.1007/BF00372275

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title = "h-adaptive boundary element schemes",

abstract = "We consider an h-adaptive algorithm for the boundary element method applied to two integral equations of the first kind on polygons, namely Symm's integral equation and the hypersingular equation with the normal derivative of the double layer potential. Our reliable and operative algorithm is based on new a posteriori estimates for the boundary element Galerkin solution. Numerical experiments show the effectivity of the algorithm. {\textcopyright} 1995 Springer-Verlag.",

author = "Carsten Carstensen and D. Estep and P. Stephan",

year = "1995",

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AU - Carstensen, Carsten

AU - Estep, D.

AU - Stephan, P.

PY - 1995/1

Y1 - 1995/1

N2 - We consider an h-adaptive algorithm for the boundary element method applied to two integral equations of the first kind on polygons, namely Symm's integral equation and the hypersingular equation with the normal derivative of the double layer potential. Our reliable and operative algorithm is based on new a posteriori estimates for the boundary element Galerkin solution. Numerical experiments show the effectivity of the algorithm. © 1995 Springer-Verlag.

AB - We consider an h-adaptive algorithm for the boundary element method applied to two integral equations of the first kind on polygons, namely Symm's integral equation and the hypersingular equation with the normal derivative of the double layer potential. Our reliable and operative algorithm is based on new a posteriori estimates for the boundary element Galerkin solution. Numerical experiments show the effectivity of the algorithm. © 1995 Springer-Verlag.

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U2 - 10.1007/BF00372275

DO - 10.1007/BF00372275

M3 - Article

SN - 0178-7675

VL - 15

SP - 372

EP - 383

JO - Computational Mechanics

JF - Computational Mechanics

IS - 4

ER -

h-adaptive boundary element schemes

Abstract

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