Preconditioned GMRES methods for discretization equation of nonsymmetric and indefinite elliptic problem

DOI10.1016/j.amc.2003.08.121zbMath1071.65156OpenAlexW2138445109MaRDI QIDQ702534

Sheng Zhang

Publication date: 17 January 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.121

zbMATH Keywords

Finite element methodNonsymmetric and indefinite elliptic problemPreconditioned GMRES method

Mathematics Subject Classification ID

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)

Cites Work

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• A preconditioned GMRES method
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Preconditioned GMRES Method for Nonsymmetric or Indefinite Problems
• Uniform Convergence of Multigrid V-Cycle Iterations for Indefinite and Nonsymmetric Problems
• Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions
• New Estimates for Multilevel Algorithms Including the V-Cycle

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