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The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. (English) Zbl 0984.65111
Summary: We investigate the application of the method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation in the plane subject to homogeneous Dirichlet boundary conditions. We present results for circular and rectangular geometries.

MSC:
65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35P15 Estimates of eigenvalues in context of PDEs
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