On the numerical solution of Helmholtz’s equation by the capacitance matrix method

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On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method

In recent years the usefulness of fast Laplace solvers has been extended to problems on arbitrary regions in the plane by the development of capacitance matrix methods. The solution of the Dirichlet and Neumann problems for Helmholtz's equation is considered. It is shown, that by an appropriate choice of the fast solver, the capacitance matrix can be generated quite inexpensively. An analogy be...

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 1976

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-1976-0421102-4