Abstract
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) |
|---|---|
| Pages (from-to) | 57-75 |
| Number of pages | 19 |
| Journal | Computational Geosciences |
| Volume | 18 |
| Issue number | 1 |
| DOIs | |
| State | Published - Nov 16 2013 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged 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.