Preconditioned iterative methods for solving 3d boundary value problems

DOI10.1080/00207169908804798zbMath0930.65026OpenAlexW2142355522MaRDI QIDQ4254598

George A. Gravvanis

Publication date: 1 February 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169908804798

zbMATH Keywords

convergencefinite element methodpreconditioningapproximate factorizationsparse systems of linear equations

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 (1)

Explicit approximate inverse preconditioning techniques

Cites Work

• A normalized sparse linear equations solver
• On the rate of convergence of the preconditioned conjugate gradient method
• A survey of preconditioned iterative methods for linear systems of algebraic equations
• The rate of convergence of an approximate matrix factorization semi- direct method
• Block Preconditioning for the Conjugate Gradient Method
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• A class of first order factorization methods
• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
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