A fast wavelet-multigrid method to solve elliptic partial differential equations

DOI10.1016/j.amc.2006.07.074zbMath1107.65347OpenAlexW2002855816MaRDI QIDQ870221

N. M. Bujurke, S. C. Shiralashetti, Chandrasekhar Salimath, Ramesh B. Kudenatti

Publication date: 12 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.074

zbMATH Keywords

waveletsdiscrete wavelet transformmultiresolution analysisnumerical examplescondition numbermultigrid methodsparse matricespreconditionerfinite difference discretizationelliptic boundary value problemsfilter coefficients

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

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Uses Software

• Wesseling

Cites Work

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• The frequency decomposition multi-grid method. I: Application to anisotropic equations
• Multilevel preconditioning
• Galerkin-wavelet methods for two-point boundary value problems
• Wavelet based multigrid methods for linear and nonlinear elliptic partial differential equations.
• A multilevel wavelet collocation method for solving partial differential equations in a finite domain
• A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain
• Surface roughness effects on squeeze film poroelastic bearings
• An analysis of rough poroelastic bearings with reference to lubrication mechanism of synovial joints
• A theory for multiresolution signal decomposition: the wavelet representation
• Orthonormal bases of compactly supported wavelets
• Wavelet Methods for Fast Resolution of Elliptic Problems
• Hat interpolation wavelet-based multi-scale Galerkin method for thin-walled box beam analysis
• Wavelets and Multigrid

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