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An efficient multigrid solver for a reformulated version of the poroelasticity system

โœ Scribed by F.J. Gaspar; F.J. Lisbona; C.W. Oosterlee; P.N. Vabishchevich

Book ID
104013273
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
545 KB
Volume
196
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

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.

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