Galerkin formulation and singularity subtraction for spectral solutions of boundary integral equations

A new spectral Galerkin formulation is presented for the solution of boundary integral equations. The formulation is carried out with an exact singularity subtraction procedure based on analytical integrations, which provides a fast and precise way to evaluate the coefficient matrices. The new Galer...

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Veröffentlicht in:International journal for numerical methods in engineering 1998-01, Vol.41 (1), p.95-111
Hauptverfasser: Michael, Ofer, Barbone, Paul E.
Format: Artikel
Sprache:eng
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Zusammenfassung:A new spectral Galerkin formulation is presented for the solution of boundary integral equations. The formulation is carried out with an exact singularity subtraction procedure based on analytical integrations, which provides a fast and precise way to evaluate the coefficient matrices. The new Galerkin formulation is based on the exact geometry of the problem boundaries and leads to a non‐element method that is completely free of mesh generation. The numerical behaviour of the method is very similar to the collocation method; for Dirichlet problems, however, it leads to a symmetric coefficient matrix and therefore requires half the solution time of the collocation method. © 1998 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/(SICI)1097-0207(19980115)41:1<95::AID-NME275>3.0.CO;2-Y