ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65N10, 65F30
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. We introduce an algorithm for the efficient numerical solution of exterior boundary value problems for the Helmholtz equation. The problem is reformulated as an equivalent one on a bounded domain using an exact non-local boundary condition on a circular artificial boundary. An FFT-based fast Helmholtz solver is then derived for a finite-element discretization on an annular domain. The exterior problem for domains of general shape are treated using an imbedding or capacitance matrix method. The imbedding is achieved in such a way that the resulting capacitance matrix has a favorable spectral distribution leading to mesh independent convergence rates when Krylov subspace methods are used to solve the capacitance matrix equation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050236
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