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Analysis of Partitioned Methods for the Biot System...

by Martina Bukac, William Layton, Marina Moraiti, Hoang A Tran, Catalin S Trenchea
Publication Type
Journal Name
Numerical Methods for Partial Differential Equations
Publication Date
Page Numbers
1769 to 1813

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.