Iterative Schemes for Nonsymmetric and Indefinite Elliptic Boundary Value Problems

DOI10.2307/2153154zbMath0795.65071OpenAlexW4251302807MaRDI QIDQ4293956

Zbigniew Leyk, James H. Bramble, Joseph E. Pasciak

Publication date: 10 July 1994

Full work available at URL: https://doi.org/10.2307/2153154

zbMATH Keywords

Sobolev spacenumerical examplesiterative schemesconjugate gradient iterationnonsymmetric and indefinite elliptic boundary value problems

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)

Related Items (5)

Multigrid methods for 3-D definite and indefinite problems ⋮ A Sign-Definite Preconditioned High-Order FEM, Part I: Formulation and Simulation for Bounded Homogeneous Media Wave Propagation ⋮ Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions ⋮ Computational scales of Sobolev norms with application to preconditioning ⋮ Preconditioning by approximations of the Gram matrix for convection-diffusion equations

Cites Work

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• Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step
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• The Analysis of Multigrid Algorithms for Nonsymmetric and Indefinite Elliptic Problems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• New Convergence Estimates for Multigrid Algorithms
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Domain Decomposition Algorithms for Indefinite Elliptic Problems
• A Preconditioned GMRES Method for Nonsymmetric or Indefinite Problems
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
• Analysis and Application of Multigrid Preconditioners for Singularly Perturbed Boundary Value Problems
• The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms

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