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

zbMATH Keywords

algorithmdomain decompositionparallel computationsplitting methodnonlinear parabolic problemcontractivity

Mathematics Subject Classification ID

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)

Some new results related to -stability ⋮ Improved accuracy for time-splitting methods for the numerical solution of parabolic equations

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Contractivity of domain decomposition splitting methods for nonlinear parabolic problems