Wavelets and the numerical solution of boundary value problems

DOI10.1016/0893-9659(93)90147-FzbMath0769.65083OpenAlexW2072746255MaRDI QIDQ2365990

Sam Qian, John Weiss

Publication date: 29 June 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90147-f

zbMATH Keywords

numerical exampleHelmholtz equationwavelet-Galerkin methodspectral convergencecapacitance matrix method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• A fast semi-direct method for the numerical solution of non-separable elliptic equations in irregular domains
• Orthonormal bases of compactly supported wavelets
• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions