Contractivity of domain decomposition splitting methods for nonlinear parabolic problems
DOI10.1016/j.cam.2009.05.021zbMath1252.65164OpenAlexW2003523440MaRDI QIDQ970397
J. C. Jorge, Laura Portero, Andrés Arrarás
Publication date: 17 May 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.05.021
algorithmdomain decompositionparallel computationsplitting methodnonlinear parabolic problemcontractivity
Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items (2)
Cites Work
- Contractivity of locally one-dimensional splitting methods
- Stability of ADI schemes applied to convection--diffusion equations with mixed derivative terms
- A combined mixed finite element ADI scheme for solving Richards' equation with mixed derivatives on irregular grids
- Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms
- On Logarithmic Norms
- Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
- Parallel Processing and Applied Mathematics
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