Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 31, Issue 6, Pages 1769-1813Publisher
WILEY
DOI: 10.1002/num.21968
Keywords
Biot system; partitioned methods; poroelasticity
Categories
Funding
- AFOSR [FA 9550-12-1-0191]
- [DMS-1216465]
- [DMS-1318763]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1216465] Funding Source: National Science Foundation
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In this work, we present a comprehensive study of several partitioned methods for the coupling of flow and mechanics. We derive energy estimates for each method for the fully-discrete problem. We write the obtained stability conditions in terms of a key control parameter defined as a ratio of the coupling strength and the speed of propagation. Depending on the parameters in the problem, give the choice of the partitioned method which allows the largest time step. (C) 2015 Wiley Periodicals, Inc.
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