Analysis of expanded mixed finite element methods for the generalized forchheimer flows of slightly compressible fluids
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Publication:2804366
DOI10.1002/NUM.21984zbMath1381.76180arXiv1409.7821OpenAlexW1561561119MaRDI QIDQ2804366
Publication date: 29 April 2016
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.7821
error estimatesporous medianonlinear degenerate parabolic equationsexpanded mixed finite elementgeneralized Forchheimer equations
Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) 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 (13)
Mixed finite element-based fully conservative methods for simulating wormhole propagation ⋮ Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media ⋮ A block-centered finite difference method for slightly compressible Darcy-Forchheimer flow in porous media ⋮ A New Finite Element Space for Expanded Mixed Finite Element Method ⋮ Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions ⋮ Numerical analysis for generalized Forchheimer flows of slightly compressible fluids ⋮ Geometric multigrid methods for Darcy-Forchheimer flow in fractured porous media ⋮ Generalized Forchheimer flows of isentropic gases ⋮ A two-grid block-centered finite difference algorithm for nonlinear compressible Darcy-Forchheimer model in porous media ⋮ A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model ⋮ A mixed finite element approximation for Darcy-Forchheimer flows of slightly compressible fluids ⋮ Existence of a solution for generalized Forchheimer flow in porous media with minimal regularity conditions ⋮ Galerkin finite element method for generalized Forchheimer equation of slightly compressible fluids in porous media
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