Local preconditioners for two‐level non‐overlapping domain decomposition methods

DOI10.1002/nla.237zbMath1051.65051OpenAlexW2142214992MaRDI QIDQ4814582

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Publication date: 7 September 2004

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.237

zbMATH Keywords

Schur complementdomain decompositionnumerical experimentsparallel computationparabolic equationselliptic system

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) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Asynchronous multisplitting-based primal Schur method, Aitken's acceleration of the Schwarz process using singular value decomposition for heterogeneous 3D groundwater flow problems, Robust Preconditioners via Generalized Eigenproblems for Hybrid Sparse Linear Solvers, Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems, Parallel multiprojection preconditioned methods based on subspace compression, Using multiple levels of parallelism to enhance the performance of domain decomposition solvers, Parallel algebraic hybrid solvers for large 3D convection-diffusion problems, Optimized Schwarz methods without overlap for highly heterogeneous media

Uses Software

• LAPACK

Cites Work

• Multifrontal parallel distributed symmetric and unsymmetric solvers
• Balancing domain decomposition
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
• A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
• A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
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