The Darcy problem with porosity depending exponentially on the pressure
DOI10.1016/j.cam.2021.113642zbMath1475.35259arXiv2011.02667OpenAlexW3160198410MaRDI QIDQ2043164
Tadele Mengesha, Zerihun Kinfe Birhanu, Abner J. Salgado
Publication date: 29 July 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.02667
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) 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)
Uses Software
Cites Work
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- Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
- Regularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domains
- Spectral discretization of Darcy's equations with pressure dependent porosity
- Strong positivity of solutions to parabolic and elliptic equations on nonsmooth domains.
- Theory and practice of finite elements.
- Maximum-norm stability of the finite element Ritz projection under mixed boundary conditions
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Principio di massimo generalizzato e valutazione del primo autovalore per problemi ellittici del secondo ordine di tipo variazionale
- Finite Element Pointwise Results on Convex Polyhedral Domains
- Finite element discretization of Darcy's equations with pressure dependent porosity
- A mixed finite element method for Darcy’s equations with pressure dependent porosity
- Finite Element Methods for Navier-Stokes Equations
- Mixed Finite Element Methods and Applications
- New development in freefem++
- ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
- Pointwise estimates for oblique derivative problems in nonsmooth domains
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