Wavelet based multigrid methods for linear and nonlinear elliptic partial differential equations.

DOI10.1016/S0096-3003(02)00845-7zbMath1044.65092MaRDI QIDQ1417001

A. Avudainayagam, C. Vani

Publication date: 18 December 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

comparison of methodsnumerical exampleselliptic equationsmultigridPoisson equationlinear and nonlinear problemsrestriction operatorswavelet based interpolation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

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• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Orthonormal bases of compactly supported wavelets
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Wavelets and Multigrid
• The speed of convergence of one iterative process

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