A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System

Wenbin Chen; Max Gunzburger; Fei Hua; Xiaoming Wang

doi:10.1137/080740556

A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System

Wenbin Chen
, Max Gunzburger
, Fei Hua
, Xiaoming Wang

Mathematics and Statistics

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

Abstract

We propose a new parallel Robin-Robin domain decomposition method for the coupled Stokes-Darcy system with Beavers-Joseph-Saffman-Jones interface boundary condition. in particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size. © 2011 Society for Industrial and Applied Mathematics.

Original language	American English
Journal	SIAM Journal on Numerical Analysis
Volume	49
DOIs	https://doi.org/10.1137/080740556
State	Published - Jul 21 2011

Keywords

Geometric Convergence
Robin-Robin Domain Decomposition
Stokes and Darcy Equations

Disciplines

Mathematics
Statistics and Probability

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A Parallel Robin-Robin Domain Decomposition Method for the StokesFinal published version, 336 KBLicense: Unspecified

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title = "A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System",

abstract = " We propose a new parallel Robin-Robin domain decomposition method for the coupled Stokes-Darcy system with Beavers-Joseph-Saffman-Jones interface boundary condition. in particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size. {\textcopyright} 2011 Society for Industrial and Applied Mathematics.",

keywords = "Geometric Convergence, Robin-Robin Domain Decomposition, Stokes and Darcy Equations",

author = "Wenbin Chen and Max Gunzburger and Fei Hua and Xiaoming Wang",

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doi = "10.1137/080740556",

language = "American English",

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T1 - A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System

AU - Chen, Wenbin

AU - Gunzburger, Max

AU - Hua, Fei

AU - Wang, Xiaoming

PY - 2011/7/21

Y1 - 2011/7/21

N2 - We propose a new parallel Robin-Robin domain decomposition method for the coupled Stokes-Darcy system with Beavers-Joseph-Saffman-Jones interface boundary condition. in particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size. © 2011 Society for Industrial and Applied Mathematics.

AB - We propose a new parallel Robin-Robin domain decomposition method for the coupled Stokes-Darcy system with Beavers-Joseph-Saffman-Jones interface boundary condition. in particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size. © 2011 Society for Industrial and Applied Mathematics.

KW - Geometric Convergence

KW - Robin-Robin Domain Decomposition

KW - Stokes and Darcy Equations

UR - https://scholarsmine.mst.edu/math_stat_facwork/1224

U2 - 10.1137/080740556

DO - 10.1137/080740556

M3 - Article

VL - 49

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

ER -

A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System

Abstract

Keywords

Disciplines

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