Analysis of partitioned methods for the Biot System |
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| Authors: | Martina Bukac William Layton Marina Moraiti Hoang Tran Catalin Trenchea |
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| Affiliation: | 1. Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana;2. Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania;3. The Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee |
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| Abstract: | 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. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1769–1813, 2015 |
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| Keywords: | Biot system partitioned methods poroelasticity |
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