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Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation

✍ Scribed by S. Amini; N. D. Maines

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
186 KB
Volume
41
Category
Article
ISSN
0029-5981

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✦ Synopsis

Discretization of boundary integral equations leads, in general, to fully populated complex valued non-Hermitian systems of equations. In this paper we consider the e cient solution of these boundary element systems by preconditioned iterative methods of Krylov subspace type. We devise preconditioners based on the splitting of the boundary integral operators into smooth and non-smooth parts and show these to be extremely e cient. The methods are applied to the boundary element solution of the Burton and Miller formulation of the exterior Helmholtz problem which includes the derivative of the double layer Helmholtz potential-a hypersingular operator.

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