A robust coarse space for optimized Schwarz methods: SORAS-GenEO-2

DOI10.1016/j.crma.2015.07.014zbMath1327.65241OpenAlexW1932034027MaRDI QIDQ889495

Pierre Jolivet, Ryadh Haferssas, Frédéric Nataf

Publication date: 6 November 2015

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.2015.07.014

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 element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Algebraic Adaptive Multipreconditioning Applied to Restricted Additive Schwarz, Analysis, improvement and limits of the multiscale Latin method, Analysis of the SORAS domain decomposition preconditioner for non-self-adjoint or indefinite problems, An Adaptive MultiPreconditioned Conjugate Gradient Algorithm, An enhanced nonlinear multi-scale strategy for the simulation of buckling and delamination on 3D composite plates, Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves, Sparse Aitken-Schwarz domain decomposition with application to Darcy flow

Uses Software

• FreeFem++

Cites Work

• A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
• Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method
• Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
• A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator
• Balancing domain decomposition
• Optimized Multiplicative, Additive, and Restricted Additive Schwarz Preconditioning
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation
• New development in freefem++
• Optimized Schwarz Methods
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