On the evaluation of hyper-singular double normal derivative kernels in surface integral equation methods

A stable and efficient numerical scheme for the evaluation of surface integrals with 1/R3-type singularities is presented. The method is based on the combination of the direct evaluation method and the singularity subtraction technique. The proposed method allows robust numerical evaluation of integ...

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Bibliographic Details
Published inEngineering analysis with boundary elements Vol. 37; no. 2; pp. 205 - 210
Main Authors Polimeridis, A.G., Järvenpää, S., Ylä-Oijala, P., Gray, L.J., Kiminki, S.P., Mosig, J.R.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2013
Subjects
Boundary element method
Derivatives
Direct evaluation method
Galerkin method
Galerkin methods
Helmholtz equation
Hyper-singular kernel
Integral equations
Integrals
Kernels
Mathematical analysis
Maxwell's equations
Singularities
Singularity subtraction technique
Singularity subtraction technique
Helmholtz equation
Hyper-singular kernel
Galerkin method
Maxwell's equations
Boundary element method
Direct evaluation method
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Summary:A stable and efficient numerical scheme for the evaluation of surface integrals with 1/R3-type singularities is presented. The method is based on the combination of the direct evaluation method and the singularity subtraction technique. The proposed method allows robust numerical evaluation of integral operators containing hyper-singular double normal derivative kernels in the cases where the integral equations are discretized with Galerkin's type techniques.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2012.09.010