Iterative algorithms for the solution of nonsymmetric systems in the modelling of weak plasma turbulence

DOI10.1016/0021-9991(89)90113-7zbMath0659.76126OpenAlexW2028096607MaRDI QIDQ1112700

G. Radicati, Sauro Succi, Yves Robert

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90113-7

zbMATH Keywords

bi-conjugate gradient methodconjugate gradient squared methodGauss methodsgeneralized minimum residual methodconjugate-gradient-like algorithmsnormal equation algorithmproduction-type code

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Turbulence (76F99) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items

Performance of certain Krylov subspace methods for solving convection-diffusion equations ⋮ A block-matrix iterative numerical method for coupled solving 2D Navier- Stokes equations ⋮ On the implementation of the GMRES \((m)\) method to elliptic equations in meteorology ⋮ A four-colour parallel algorithm for the solution of a two-dimensional advection-diffusion equation with the finite element method ⋮ Comparison of different Krylov subspace methods embedded in an implicit finite volume scheme for the computation of viscous and inviscid flow fields on unstructured grids ⋮ Preconditioned Krylov subspace methods for solving nonsymmetric matrices from CFD applications ⋮ Domain decomposition and parallel processing of a finite element model of the shallow water equations

Uses Software

• ITPACK
• ILUBCG2
• ITPACKV 2D

Cites Work

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• The use of a preconditioned bi-conjugate gradient method for hybrid plasma stability analysis
• The block conjugate gradient algorithm and related methods
• Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
• The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A class of first order factorization methods