Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity
KAUST Grant NumberKUS-F1-032-04
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AbstractWe 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.
CitationWheeler 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.
SponsorsMary 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.