Finite element discretization of Darcy's equations with pressure dependent porosity-Reference-Cited by-同舟云学术

Finite element discretization of Darcy's equations with pressure dependent porosity

Published:2010-02-23 Issue:6 Volume:44 Page:1155-1191
ISSN:0764-583X
Container-title:ESAIM: Mathematical Modelling and Numerical Analysis
language:
Short-container-title:ESAIM: M2AN

Author:

Girault Vivette,Murat François,Salgado Abner

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Link

http://www.esaim-m2an.org/10.1051/m2an/2010019/pdf

Reference36 articles.

1. R.A. Adams,Sobolev spaces. Academic Press (1975).

2. Homogenization of the Navier-Stokes equations with a slip boundary condition

3. M. Azaïez, F. Ben Belgacem, C. Bernardi and N. Chorfi,Spectral discretization of Darcy's equations with pressure dependent porosity. Report 2009-10, Laboratoire Jacques-Louis Lions, France (2009).

4. The finite element method with Lagrangian multipliers

5. deal.II—A general-purpose object-oriented finite element library

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An adaptive stabilized finite element method for the Darcy’s equations with pressure dependent viscosities;Computer Methods in Applied Mechanics and Engineering;2021-12

2. The Darcy problem with porosity depending exponentially on the pressure;Journal of Computational and Applied Mathematics;2021-12

3. Convergence of Multi-level Algorithms for a Class of Nonlinear Problems;Journal of Scientific Computing;2020-07-30

4. ON THE DERIVATION OF REYNOLDS-TYPE EQUATION FOR FLOWS THROUGH POROUS MEDIA DUE TO PRESSURE GRADIENTS;Journal of Porous Media;2020

5. Nonlinear Darcy fluid flow with deposition;Journal of Computational and Applied Mathematics;2017-01