caa a22 4500 463177819 CHVBK 20180406164830.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10596-007-9045-y doi (NATIONALLICENCE)springer-10.1007/s10596-007-9045-y A coupling of mixed and continuous Galerkin finite element methods for poroelasticity I: the continuous in time case [Elektronische Daten] [Phillip Phillips, Mary Wheeler] In this paper, we formulate a finite element procedure for approximating the coupled fluid and mechanics in Biot's consolidation model of poroelasticity. Here, we approximate the pressure by a mixed finite element method and the displacements by a Galerkin method. Theoretical convergence error estimates are derived in a continuous in-time setting for a strictly positive constrained specific storage coefficient. Of particular interest is the case when the lowest-order Raviart-Thomas approximating space or cell-centered finite differences are used in the mixed formulation, and continuous piecewise linear approximations are used for displacements. This approach appears to be the one most frequently applied to existing reservoir engineering simulators. Springer Science+Business Media, Inc., 2007 Continuous Galerkin nationallicence Continuous in time a priori error estimates nationallicence Mixed finite elements nationallicence Poroelasticity nationallicence Phillips Phillip Center for Subsurface Modeling (CSM), Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, USA aut Wheeler Mary CSM, ICES, Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX, USA aut Computational Geosciences Kluwer Academic Publishers 11/2(2007-06-01), 131-144 1420-0597 11:2<131 2007 11 10596 https://doi.org/10.1007/s10596-007-9045-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10596-007-9045-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Phillips Phillip Center for Subsurface Modeling (CSM), Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, USA aut NATIONALLICENCE 700 1- Wheeler Mary CSM, ICES, Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX, USA aut NATIONALLICENCE 773 0- Computational Geosciences Kluwer Academic Publishers 11/2(2007-06-01), 131-144 1420-0597 11:2<131 2007 11 10596 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 463177819 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer