Domain decomposition and splitting methods for mortar mixed finite element approximations to parabolic equations

DOI10.1007/s002110100367zbMath1010.65037OpenAlexW4238741608MaRDI QIDQ1849713

Roland Masson, Stéphanie Gaiffe, Roland Glowinski

Publication date: 1 December 2002

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110100367

zbMATH Keywords

stabilityconvergenceerror estimatesnumerical examplesdomain decompositionparallel computationoperator splittingparabolic equationshybrid mesheslocal time steppingmortar mixed finite element method

Mathematics Subject Classification ID

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

Domain decomposition and expanded mixed method for parabolic partial differential equations, The interaction of iteration error and stability for linear partial differential equations coupled through an interface, A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations, A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary, A priori error estimates of multiblock mortar expanded mixed method for elliptic problems, Reprint of ``Domain decomposition multigrid methods for nonlinear reaction-diffusion problems, Mortar element methods for parabolic problems, Approximation of linear hyperbolic interface problems on finite element: some new estimates, The three-field formulation for elasticity problems, Domain decomposition multigrid methods for nonlinear reaction-diffusion problems, Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations