Analysis of Partitioned Methods for the Biot System

作者:Bukac Martina*; Layton William; Moraiti Marina; Tran Hoang; Trenchea Catalin
来源:Numerical Methods for Partial Differential Equations, 2015, 31(6): 1769-1813.
DOI:10.1002/num.21968

摘要

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.

  • 出版日期2015-11