A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary

DOI10.1137/140964059zbMath1322.65093OpenAlexW2061682845MaRDI QIDQ2945144

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Publication date: 9 September 2015

Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/784704fffd5e6bae9541982c4a91c6926c149b69

zbMATH Keywords

finite volume methodmixed finite element methoda posteriori error estimateparabolic problemsheterogeneous domain decompositionmortar methodsiteration errorgeometric coupling

Mathematics Subject Classification ID

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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Second-order parabolic systems (35K40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (11)

Domain decomposition and expanded mixed method for parabolic partial differential equations ⋮ A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations ⋮ Error analysis of mixed finite element methods for nonlinear parabolic equations ⋮ A multiscale domain decomposition approach for parabolic equations using expanded mixed method ⋮ A posteriori error analysis for Schwarz overlapping domain decomposition methods ⋮ A priori error estimates of multiblock mortar expanded mixed method for elliptic problems ⋮ Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems ⋮ A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems ⋮ Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations ⋮ Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method ⋮ A space-time domain decomposition approach using enhanced velocity mixed finite element method

Uses Software

• MMMFEM

Cites Work

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