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The Computer Implementation of an Implicit Capacitance Matrix Method for the Numerical solution of Helmholt's Equation over General Bounded Planar Domains

机译:一般有界平面域上亥姆霍兹方程数值解的隐式电容矩阵法的计算机实现

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The capacitance matrix method extends the usefulness of fast Poisson solvers to arbitrary regions in the plane. An analogy between capacitance matrix methods and integral operators of classical potential theory due to Proskurowsky and Widlund, leads to well-conditioned capacitance matrix equations that can be solved efficiently by the conjugate gradient method. A computer program implementing the capacitance matrix method, due to Proskurowsky, was tested and documented.

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