Hierarchical high order finite element spaces in \(H(\operatorname{div},\Omega)\times H^1(\Omega)\) for a stabilized mixed formulation of Darcy problem

DOI10.1016/j.camwa.2020.06.003zbMath1447.65132OpenAlexW3036585783MaRDI QIDQ2194828

Agnaldo M. Farias, Maicon R. Correa, Juan Carlos Rodríguez, Denise de Siqueira, Philippe Remy Bernard Devloo

Publication date: 7 September 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.06.003

zbMATH Keywords

mixed finite element methodsDarcy problemstabilized finite elementGalerkin least squares\( H(\operatorname{div})\) approximating spaceshierarchical finite elements bases

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)

Related Items (5)

Topology optimization including a model of the layer-by-layer additive manufacturing process ⋮ On the convergence of the primal hybrid finite element method on quadrilateral meshes ⋮ A novel arbitrary Lagrangian-Eulerian finite element method for a mixed parabolic problem in a moving domain ⋮ An adaptive stabilized finite element method for the Darcy's equations with pressure dependent viscosities ⋮ Optimal \(H(\mathrm{div})\) flux approximations from the primal hybrid finite element method on quadrilateral meshes

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