Finite-element-wise domain decomposition iterative solvers with polynomial preconditioning

DOI10.1016/j.mcm.2012.11.017zbMath1297.65159OpenAlexW2008178409MaRDI QIDQ462784

Marek Szularz, Laurence Tianruo Yang, Y. Liang

Publication date: 21 October 2014

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2012.11.017

zbMATH Keywords

domain decompositionfinite elementlinear equationspolynomial preconditioningFGMRES

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (2)

Polynomial Preconditioned GMRES and GMRES-DR ⋮ A Hessian-free Newton-Raphson method for the configuration of physics systems featured by numerically asymmetric force field

Uses Software

• BiCGstab

Cites Work

• On the orthogonality of residual polynomials of minimax polynomial preconditioning
• Reliable updated residuals in hybrid Bi-CG methods
• Differences in the Effects of Rounding Errors in Krylov Solvers for Symmetric Indefinite Linear Systems
• Estimating Extremal Eigenvalues and Condition Numbers of Matrices
• On Generating Polynomials which are Orthogonal over Several Intervals
• A parallel finite element solution method
• Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method
• Extremal Polynomials with Application to Richardson Iteration for Indefinite Linear Systems
• On Generating Orthogonal Polynomials
• Minimax Polynomial Preconditioning for Hermitian Linear Systems
• An Estimate for the Condition Number of a Matrix
• Parallel Preconditioning with Sparse Approximate Inverses
• Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
• Generalized least-squares polynomial preconditioners for symmetric indefinite linear equations
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