Spectral multigrid methods for domain decomposition problems using patching techniques

DOI10.1016/0096-3003(93)90087-UzbMath0795.65079OpenAlexW2013068091MaRDI QIDQ1316155

Wilhelm Heinrichs

Publication date: 8 September 1994

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

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90087-u

zbMATH Keywords

domain decompositionmultigrid methodPoisson equationChebyshev collocationfinite difference preconditioner\(L\)-shaped regionspectral multigrid

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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)

Related Items (1)

A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation

Cites Work

• Unnamed Item
• A 3D spectral multigrid method
• Spectral multigrid methods for elliptic equations. II
• Improved spectral multigrid methods for periodic elliptic problems
• Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
• Line relaxation for spectral multigrid methods
• Domain decomposition algorithms for spectral methods
• Multigrid methods for combined finite difference and Fourier problems
• Spectral methods for problems in complex geometries
• Spectral multigrid methods for elliptic equations
• Finite element preconditioning for spectral multigrid methods
• Improved Condition Number for Spectral Methods
• An Iterative Procedure with Interface Relaxation for Domain Decomposition Methods

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