A two-level enriched finite element method for a mixed problem

DOI10.1090/S0025-5718-2010-02364-6zbMath1220.65162OpenAlexW2069555630MaRDI QIDQ3081273

Frédéric Valentin, Gabriel R. Barrenechea, Erwin Hernández, Alejandro Allendes

Publication date: 7 March 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02364-6

zbMATH Keywords

comparison of methodsmass conservationnumerical experimentsporous mediaRaviart-Thomas elementDarcy flowenriched finite element methodPetrov-Galerkin approachtwo level finite element method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients, Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation, Foundations of the MHM Method

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