Numerical integration of the three-dimensional Green kernel for an electromagnetic problem

In this paper, we present a method for the numerical integration of the three-dimensional Green kernel over two triangles. This method is compared with the results obtained by other algorithms. The comparison proves the efficiency of the technique in removing the numerical singularity. Furthermore,...

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Bibliographic Details
Published in:Journal of computational physics 2005-05, Vol.205 (1), p.48-71
Main Authors: Masserey, Alexandre, Rappaz, Jacques, Rozsnyo, Roland, Swierkosz, Marek
Format: Article
Language:English
Subjects:
Boundary element method
Computational techniques
Exact sciences and technology
Gauss–Hammer quadrature
Green kernel
Mathematical methods in physics
Numerical integration
Numerical methods
Physics
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Summary:In this paper, we present a method for the numerical integration of the three-dimensional Green kernel over two triangles. This method is compared with the results obtained by other algorithms. The comparison proves the efficiency of the technique in removing the numerical singularity. Furthermore, we provide a numerical algorithm for increasing the computation accuracy without refining the finite element mesh.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2004.10.035