Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity
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.Citation
Wheeler M, Xue G, Yotov I (2013) Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity. Computational Geosciences 18: 57–75. Available: http://dx.doi.org/10.1007/s10596-013-9382-y.Sponsors
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.Publisher
Springer NatureJournal
Computational GeosciencesISSN
1420-05971573-1499
Handle URI
http://hdl.handle.net/10754/597891ae974a485f413a2113503eed53cd6c53
10.1007/s10596-013-9382-y