A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps

DOI10.1016/j.crma.2010.10.007zbMath1206.35092OpenAlexW2063829621MaRDI QIDQ611156

Hua Xiang, Victorita Dolean, Frédéric Nataf

Publication date: 14 December 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.10.007

zbMATH Keywords

domain decomposition methodstwo-level preconditionercoarse grid spaceDirichlet-Neumann maps

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25)

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Uses Software

• METIS

Cites Work

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• Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods
• Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
• Deflation of Conjugate Gradients with Applications to Boundary Value Problems
• Balancing domain decomposition
• Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity
• Deflation and Balancing Preconditioners for Krylov Subspace Methods Applied to Nonsymmetric Matrices