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An efficient multigrid solver for a reformulated version of the poroelasticity system |
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| Authors: | FJ Gaspar CW Oosterlee PN Vabishchevich |
| Affiliation: | a Departamento de Mathemática Aplicada, University of Zaragoza, Pedro Cerbuna, 12, 50009 Zaragoza, Spain b Delft University of Technology, Delft Institute of Applied Mathematics (DIAM), Mekelweg 4, 2628 CD Delft, The Netherlands c Institute for Mathematical Modelling, Russian Academy of Sciences, 4-A, Miusskaya Sq., 124047 Moscow, Russia |
| Abstract: | In this paper, we present a robust and efficient multigrid solver for a transformed version of the system of poroelasticity equations. The transformation enables us to treat the system in a decoupled fashion. We show that the transformation boils down to a stabilization term in the iterative scheme, and that the solution of the original problem is identical to the solution of the transformed problem. A highly efficient multigrid method can be developed, confirmed by numerical experiments. |
| Keywords: | Poroelasticity Transformation Stability Collocated grid Multigrid |
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