Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients

DOI10.4208/aamm.2014.m669zbMath1488.65645OpenAlexW2522051410MaRDI QIDQ5153702

Yin-Nian He, Zhi-yong Liu

Publication date: 30 September 2021

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

Full work available at URL: https://doi.org/10.4208/aamm.2014.m669

zbMATH Keywords

domain decompositionconjugate gradienteffective condition numberrestricted additive Schwarzjump 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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Cites Work

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• Some Estimates for a Weighted L 2 Projection
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• Domain decomposition preconditioners for elliptic equations with jump coefficients
• Iterative Methods by Space Decomposition and Subspace Correction
• On the robustness of the BPX-preconditioner with respect to jumps in the coefficients
• Unstructured Additive Schwarz--Conjugate Gradient Method for Elliptic Problems with Highly Discontinuous Coefficients
• Iterative Solution Methods
• Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems

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