A posteriori error estimates for mixed finite element and finite volume methods for problems coupled through a boundary with nonmatching grids

DOI10.1093/imanum/drt049zbMath1303.65093OpenAlexW2120854863MaRDI QIDQ2930149

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Publication date: 18 November 2014

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

Full work available at URL: https://doi.org/10.1093/imanum/drt049

zbMATH Keywords

finite volume methodmixed finite element methoda posteriori error estimatecoupled elliptic problemsheterogeneous domain decompositionmortar methodsgeometric coupling

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite volume methods for boundary value problems involving PDEs (65N08)

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The interaction of iteration error and stability for linear partial differential equations coupled through an interface ⋮ A posteriori error analysis for Schwarz overlapping domain decomposition methods ⋮ A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary ⋮ A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems ⋮ Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method

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