## 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. (C) 2015 Wiley Periodicals, Inc.

- Authors:

- Univ. of Notre Dame, IN (United States)
- Univ. of Pittsburgh, PA (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1335329

- Grant/Contract Number:
- AC05-00OR22725

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Numerical Methods for Partial Differential Equations (Online)

- Additional Journal Information:
- Journal Name: Numerical Methods for Partial Differential Equations (Online); Journal Volume: 31; Journal Issue: 6; Journal ID: ISSN 0749-159X

- Publisher:
- Wiley

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; Biot system; partitioned methods; poroelasticity; STOKES-DARCY MODEL; STABILITY; EXPLICIT; FLOW

### Citation Formats

```
Bukac, Martina, Layton, William, Moraiti, Marina, Tran, Hoang A., and Trenchea, Catalin S. Analysis of Partitioned Methods for the Biot System. United States: N. p., 2015.
Web. doi:10.1002/num.21968.
```

```
Bukac, Martina, Layton, William, Moraiti, Marina, Tran, Hoang A., & Trenchea, Catalin S. Analysis of Partitioned Methods for the Biot System. United States. doi:10.1002/num.21968.
```

```
Bukac, Martina, Layton, William, Moraiti, Marina, Tran, Hoang A., and Trenchea, Catalin S. Wed .
"Analysis of Partitioned Methods for the Biot System". United States. doi:10.1002/num.21968. https://www.osti.gov/servlets/purl/1335329.
```

```
@article{osti_1335329,
```

title = {Analysis of Partitioned Methods for the Biot System},

author = {Bukac, Martina and Layton, William and Moraiti, Marina and Tran, Hoang A. and Trenchea, Catalin S.},

abstractNote = {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.},

doi = {10.1002/num.21968},

journal = {Numerical Methods for Partial Differential Equations (Online)},

number = 6,

volume = 31,

place = {United States},

year = {2015},

month = {2}

}

Other availability

Cited by: 2 works

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