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

✍ Scribed by Ofer Michael; Paul E. Barbone

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 231 KB
Volume: 41
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19980115)41:1<95::aid-nme275>3.0.co;2-y

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✦ Synopsis

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

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