We study the numerical approximation on irregular domains with general grids of the system of poroelasticity, which describes fluid flow in deformable porous media. The flow equation is discretized by a multipoint flux mixed finite element method and the displacements are approximated by a continuous Galerkin finite element method. First-order convergence in space and time is established in appropriate norms for the pressure, velocity, and displacement. Numerical results are presented that illustrate the behavior of the method. © Springer Science+Business Media Dordrecht 2013.
|Original language||English (US)|
|Number of pages||19|
|State||Published - Nov 16 2013|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-F1-032-04
Acknowledgements: Mary Wheeler is partially supported by the DOE grant DE-FGO2-04ER25617. Guangri Xue was supported by award no. KUS-F1-032-04 by King Abdullah University of Science and Technology (KAUST) during his work at UT-Austin 2008-2011. Ivan Yotov is partially supported by the DOE grant DE-FG02-04ER25618, the NSF grant DMS 1115856, and the J. Tinsley Oden Faculty Fellowship, ICES, The University of Texas at Austin.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.