A new wavelet multigrid method

DOI10.1016/j.cam.2007.09.021zbMath1146.65074OpenAlexW1978623131MaRDI QIDQ939572

Doreen de Leon

Publication date: 22 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.09.021

zbMATH Keywords

waveletsfinite difference methodmultigrid

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Numerical methods for wavelets (65T60) PDEs with low regular coefficients and/or low regular data (35R05) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

Iterative scheme of integral and integro-differential equations using Daubechies wavelets new transform method ⋮ Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations ⋮ A second generation wavelet based finite elements on triangulations ⋮ A fast wavelet block Jacobi method ⋮ Biorthogonal wavelet-based multigrid and full approximation scheme for the numerical solution of parabolic partial differential equations

Cites Work

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• An adaptive multilevel wavelet collocation method for elliptic problems
• New coarse grid operators for highly oscillatory coefficient elliptic problems
• The black box multigrid numerical homogenization algorithm
• Wavelet based multigrid methods for linear and nonlinear elliptic partial differential equations.
• High-order compact scheme with multigrid local mesh refinement procedure for convection-diffusion problems.
• A new approach to compute sparse approximate inverse factors of a matrix
• Fast wavelet transforms and numerical algorithms I
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Factorized Sparse Approximate Inverse Preconditionings I. Theory
• Convergence of a Multigrid Method for Elliptic Equations with Highly Oscillatory Coefficients
• Wavelet-Based Numerical Homogenization
• Fast Multigrid Solution of the Advection Problem with Closed Characteristics
• Approximate Inverse Preconditioners via Sparse-Sparse Iterations
• Coarse-Grid Correction for Nonelliptic and Singular Perturbation Problems
• A Multigrid Tutorial, Second Edition
• Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem
• Kernel Preserving Multigrid Methods for Convection-Diffusion Equations
• Homogenization and multigrid

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