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

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

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].

Original language	English
Pages (from-to)	143-166
Number of pages	24
Journal	Networks and Heterogeneous Media
Volume	1
Issue number	1
DOIs	https://doi.org/10.3934/nhm.2006.1.143
Publication status	Published - 1 Jan 2006
Externally published	Yes

Keywords

diffusion approximation
domain decomposition
linear transport equation
numerical approximation

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10.3934/nhm.2006.1.143

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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].",

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

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

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Keywords

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