Matrix-based multigrid. Theory and applications

zbMath1032.65138MaRDI QIDQ5907030

Yair Shapira

Publication date: 17 November 2003

Published in: Numerical Methods and Algorithms (Search for Journal in Brave)

zbMATH Keywords

convergencefinite elementsimage processingdomain decompositiontextbookfinite differencesHelmholtz equationmultigridmesh refinementcondition numbersfinite volumesmultigrid algorithmconjugate gradientalgebraic multilevel methodrelaxation methodsincomplete LUsemicoarsening

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (4)

Hierarchical multigrid approaches for the finite cell method on uniform and multi-level \(h p\)-refined grids ⋮ Nonsymmetric Black Box multigrid with coarsening by three ⋮ On the spectral equivalence of hierarchical matrix preconditioners for elliptic problems ⋮ Multigrid algorithm from cyclic reduction for Markovian queueing networks

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