A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method

DOI10.1016/0168-9274(95)00120-4zbMath0939.65113OpenAlexW2064343996MaRDI QIDQ1917447

Robert H. Dillon, Peter K. Moore

Publication date: 10 July 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00120-4

zbMATH Keywords

algorithmnumerical examplespreconditioningGalerkin's methodnonlinear parabolic systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

RKC: An explicit solver for parabolic PDEs, An incomplete assembly with thresholding algorithm for systems of reaction--diffusion equations in three space dimensions IAT for reaction--diffusion systems, The impact of parameter selection on the performance of an automatic adaptive code for solving reaction-diffusion equations in three dimensions, The use of approximate factorization in stiff ODE solvers

Uses Software

• VODE
• Algorithm 731
• CWRESU
• CWRESX

Cites Work

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• Algorithm 688: EPDCOL
• A Flexible Inner-Outer Preconditioned GMRES Algorithm