An analysis of element-by-element preconditioners for nonsymmetric problems

DOI10.1016/0045-7825(93)90114-DzbMath0783.65043OpenAlexW2090887614MaRDI QIDQ2367992

Martin B. van Gijzen

Publication date: 22 August 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90114-d

zbMATH Keywords

convergencefinite elementconvection-diffusion problemscondition numberpreconditionerstiffness matrixNumerical results

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)

Related Items

Bounds on the eigenvalue range and on the field of values of non-Hermitian and indefinite finite element matrices, A polynomial preconditioner for the GMRES algorithm, Large scale finite element computations with GMRES-like methods on a Cray Y-MP, An Element-Based Preconditioner for Mixed Finite Element Problems

Uses Software

• LINPACK

Cites Work

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• A parallel element-by-element solution scheme
• Methods of conjugate gradients for solving linear systems