Analysis of partitioned methods for the Biot System

Martina Bukac; William Layton; Marina Moraiti; Hoang Tran; Catalin Trenchea

doi:10.1002/num.21968

Analysis of partitioned methods for the Biot System

Martina Bukac
, William Layton
, Marina Moraiti
, Hoang Tran
, Catalin Trenchea

Multiscale Methods

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English
Pages (from-to)	1769-1813
Number of pages	45
Journal	Numerical Methods for Partial Differential Equations
Volume	31
Issue number	6
DOIs	https://doi.org/10.1002/num.21968
State	Published - Nov 1 2015

Keywords

Biot system
partitioned methods
poroelasticity

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10.1002/num.21968

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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.",

keywords = "Biot system, partitioned methods, poroelasticity",

author = "Martina Bukac and William Layton and Marina Moraiti and Hoang Tran and Catalin Trenchea",

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AU - Bukac, Martina

AU - Layton, William

AU - Moraiti, Marina

AU - Tran, Hoang

AU - Trenchea, Catalin

PY - 2015/11/1

Y1 - 2015/11/1

N2 - 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.

AB - 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.

KW - Biot system

KW - partitioned methods

KW - poroelasticity

UR - https://www.scopus.com/pages/publications/84942500012

U2 - 10.1002/num.21968

DO - 10.1002/num.21968

M3 - Article

AN - SCOPUS:84942500012

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SP - 1769

EP - 1813

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 6

ER -

Analysis of partitioned methods for the Biot System

Abstract

Keywords

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