On the implementation of the GMRES \((m)\) method to elliptic equations in meteorology

DOI10.1016/0021-9991(92)90377-BzbMath0786.76064MaRDI QIDQ1201714

Stephen Mudrick, Mikdat Kadioǧlu

Publication date: 17 January 1993

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

large sparse systemslinear partial differential equations

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Meteorology and atmospheric physics (86A10)

Related Items (2)

A preconditioning technique for Krylov subspace methods in RKHSs ⋮ Krylov subspace methods for estimating operator-vector multiplications in Hilbert spaces

Uses Software

• NSPCG
• CGS
• NAPACK

Cites Work

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• A survey of preconditioned iterative methods for linear systems of algebraic equations
• An application of the Arnoldi method to a geophysical fluid dynamics problem
• Iterative algorithms for the solution of nonsymmetric systems in the modelling of weak plasma turbulence
• Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems
• MUDPACK: Multigrid portable FORTRAN software for the efficient solution of linear elliptic partial differential equations
• A historical overview of iterative methods
• Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems
• Krylov Subspace Methods on Supercomputers
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• On Vectorizing Incomplete Factorization and SSOR Preconditioners
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Methods of conjugate gradients for solving linear systems

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