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Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity |
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| Authors: | Mary Wheeler Guangri Xue Ivan Yotov |
| Institution: | 1. Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, 78712, USA 2. Shell Technology Center Houston, Shell International Exploration and Production Co., Houston, TX, 77082, USA 3. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA |
| 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. |
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