A coupling of mixed and discontinuous Galerkin finite-element methods for poroelasticity |
| |
| Authors: | Phillip Joseph Phillips Mary F Wheeler |
| |
| Institution: | (1) Center for Subsurface Modeling (CSM), Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, USA;(2) CSM, ICES, Department of Aerospace Engineering and Engineering Mechanics, Department of Petroleum Engineering and Geosystems Engineering, University of Texas at Austin, Austin, TX, USA |
| |
| Abstract: | In this paper, we formulate a finite-element procedure for approximating the coupled fluid and mechanics in Biot’s consolidation
model of poroelasticity. We approximate the flow variables by a mixed finite-element space and the displacement by a family
of discontinuous Galerkin methods. Theoretical convergence error estimates are derived and, in particular, are shown to be
independent of the constrained specific storage coefficient, c
o
. This suggests that our proposed algorithm is a potentially effective way to combat locking, or the nonphysical pressure
oscillations, which sometimes arise in numerical algorithms for poroelasticity. |
| |
| Keywords: | Poroelasticity Discontinuous Galerkin Mixed finite elements Locking A priori error estimates |
| 本文献已被 SpringerLink 等数据库收录！ |
|
