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    Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity

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    Type
    Article
    Authors
    Wheeler, Mary
    Xue, Guangri
    Yotov, Ivan
    KAUST Grant Number
    KUS-F1-032-04
    Date
    2013-11-16
    Online Publication Date
    2013-11-16
    Print Publication Date
    2014-02
    Permanent link to this record
    http://hdl.handle.net/10754/597891
    
    Metadata
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    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 Nature
    Journal
    Computational Geosciences
    DOI
    10.1007/s10596-013-9382-y
    ae974a485f413a2113503eed53cd6c53
    10.1007/s10596-013-9382-y
    Scopus Count
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