A Posteriori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Kind of Compressible Miscible Displacement Problems

DOI10.4208/aamm.11-m1140zbMath1262.65117OpenAlexW2318351389MaRDI QIDQ4919338

Zhiguang Xiong, Ji-Ming Yang

Publication date: 8 May 2013

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.11-m1140

zbMATH Keywords

discontinuous Galerkin methodmixed finite elementcompressible miscible displacementduality argumentA posteriori error

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)

Related Items (5)

Superconvergence analysis of a full-discrete combined mixed finite element and discontinuous Galerkin approximation for an incompressible miscible displacement problem ⋮ A two-grid method for discontinuous Galerkin approximations to nonlinear Sobolev equations ⋮ Analysis of a full-discrete two-grid discontinuous Galerkin method for nonlinear parabolic equations ⋮ A two-grid discontinuous Galerkin method for a kind of nonlinear parabolic problems ⋮ Error analysis of a two-grid discontinuous Galerkin method for non-linear parabolic equations

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