Does SHEM for Additive Schwarz Work Better than Predicted by Its Condition Number Estimate?
DOI10.1007/978-3-319-93873-8_10zbMath1443.65415OpenAlexW2906818905MaRDI QIDQ5114530
Martin J. Gander, Atle Loneland, Petter E. Bjørstad, Talal Rahman
Publication date: 24 June 2020
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-93873-8_10
domain decomposition methodscondition number estimategeneralized interface eigenvalue problemP1 finite elementspreconditioner: conjugate gradient methodspectral harmonically enriched multiscale (SHEM) coarse space
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) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Variational methods for second-order elliptic equations (35J20) Preconditioners for iterative methods (65F08)
Related Items (3)
Cites Work
- Multiscale domain decomposition methods for elliptic problems with high aspect ratios
- Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D
- Overlapping Schwarz methods with adaptive coarse spaces for multiscale problems in 3D
- Domain decomposition for multiscale PDEs
- Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
- FETI-DP Methods with an Adaptive Coarse Space
- A New Coarse Grid Correction for RAS/AS
- Discontinuous Coarse Spaces for DD-Methods with Discontinuous Iterates
- SHEM: An Optimal Coarse Space for RAS and Its Multiscale Approximation
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