Analysis of partitioned methods for the Biot System
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
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Feb 18, 2015
- Source ID
- 10.1002/num.21968
Entities
People
- Catalin Trenchea
- Hoang Tran
- Marina Moraiti
- Martina Bukac
- William Layton
Organizations
- Air Force Office of Scientific Research
- National Science Foundation
- Oak Ridge National Laboratory
- University of Notre Dame
- University of Pittsburgh