NUMERICAL STUDY OF A DOMAIN DECOMPOSITION METHOD FOR A TWO-SCALE LINEAR TRANSPORT EQUATION

Xu Yang; Francois Golse; Zhongyi Huang; Shi Jin

doi:10.3934/nhm.2006.1.143

NUMERICAL STUDY OF A DOMAIN DECOMPOSITION METHOD FOR A TWO-SCALE LINEAR TRANSPORT EQUATION

Xu Yang
, Francois Golse
, Zhongyi Huang
, Shi Jin

Tsinghua University
Institut Universitaire de France
University of Wisconsin-Madison

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We perform a numerical study on a domain decomposition method proposed in [13] for the linear transport equation between a diffusive and a non-diffusive region. This method avoids iterating the diffusion and transport solutions as in a typical domain decomposition method. Our numerical results, in both one and two space dimensions, confirm the theoretical analysis of [13]. We also provide an improved second order method that provides a more accurate numerical solution than that proposed in [13].

langue originale	Anglais
Pages (de - à)	143-166
Nombre de pages	24
journal	Networks and Heterogeneous Media
Volume	1
Numéro de publication	1
Les DOIs	https://doi.org/10.3934/nhm.2006.1.143
état	Publié - 1 janv. 2006
Modification externe	Oui

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title = "NUMERICAL STUDY OF A DOMAIN DECOMPOSITION METHOD FOR A TWO-SCALE LINEAR TRANSPORT EQUATION",

abstract = "We perform a numerical study on a domain decomposition method proposed in [13] for the linear transport equation between a diffusive and a non-diffusive region. This method avoids iterating the diffusion and transport solutions as in a typical domain decomposition method. Our numerical results, in both one and two space dimensions, confirm the theoretical analysis of [13]. We also provide an improved second order method that provides a more accurate numerical solution than that proposed in [13].",

keywords = "diffusion approximation, domain decomposition, linear transport equation, numerical approximation",

author = "Xu Yang and Francois Golse and Zhongyi Huang and Shi Jin",

note = "Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences.",

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AU - Golse, Francois

AU - Huang, Zhongyi

AU - Jin, Shi

N1 - Publisher Copyright: © American Institute of Mathematical Sciences.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - We perform a numerical study on a domain decomposition method proposed in [13] for the linear transport equation between a diffusive and a non-diffusive region. This method avoids iterating the diffusion and transport solutions as in a typical domain decomposition method. Our numerical results, in both one and two space dimensions, confirm the theoretical analysis of [13]. We also provide an improved second order method that provides a more accurate numerical solution than that proposed in [13].

AB - We perform a numerical study on a domain decomposition method proposed in [13] for the linear transport equation between a diffusive and a non-diffusive region. This method avoids iterating the diffusion and transport solutions as in a typical domain decomposition method. Our numerical results, in both one and two space dimensions, confirm the theoretical analysis of [13]. We also provide an improved second order method that provides a more accurate numerical solution than that proposed in [13].

KW - diffusion approximation

KW - domain decomposition

KW - linear transport equation

KW - numerical approximation

UR - https://www.scopus.com/pages/publications/49749092690

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DO - 10.3934/nhm.2006.1.143

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JO - Networks and Heterogeneous Media

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NUMERICAL STUDY OF A DOMAIN DECOMPOSITION METHOD FOR A TWO-SCALE LINEAR TRANSPORT EQUATION

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