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Enhanced Velocity Mixed Finite Element Methods for Flow in Multiblock Domains |
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| Authors: | John A. Wheeler Mary F. Wheeler Ivan Yotov |
| Affiliation: | 1. Texas Institute for Computational and Applied Mathematics (TICAM), The University of Texas at Austin, Austin, TX, 78712, USA 2. TICAM, Department of Aerospace Engineering & Engineering Mechanics, and Department of Petroleum and Geosystems Engineering, The University of Texas at Austin, Austin, TX, 78712, USA 3. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA |
| Abstract: | The paper presents a new approach to discretizing flow in porous media via mixed finite element methods on non-matching multiblock grids. The velocity space along the interfaces is enhanced to give flux-continuous approximation. No additional matching conditions need to be imposed. The computational complexity of the resulting algebraic problem is comparable to the one for the single-block case. A priori error estimates for the pressure and the velocity and numerical experiments confirming the theory are presented. |
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