A domain decomposition and mixed method for a linear parabolic boundary value problem

DOI10.1093/imanum/24.3.491zbMath1062.65101OpenAlexW4297820874MaRDI QIDQ4831805

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Publication date: 3 January 2005

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/24.3.491

zbMATH Keywords

convergenceerror estimatesinf-sup conditionmixed methodsnon-matching gridsquadrilateral finite elementslinear parabolic boundary value problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (6)

A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations ⋮ Parallel domain decomposition procedures of improved D-D type for parabolic problems ⋮ Mortar finite element discretization of a model coupling Darcy and Stokes equations ⋮ Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation ⋮ A NEW DOMAIN DECOMPOSITION PARALLEL ALGORITHM FOR CONVECTION–DIFFUSION PROBLEM

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