Numerical study of a domain decomposition method for a two-scale linear transport equation | Zendy

Xu Yang | Zendy; François Golse | Zendy; Zhongyi Huang | Zendy; Shi Jin | Zendy

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Numerical study of a domain decomposition method for a two-scale linear transport equation

Author(s) -

Xu Yang,

François Golse,

Zhongyi Huang,

Shi Jin

Publication year - 2006

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2006.1.143

Subject(s) - domain decomposition methods , fictitious domain method , numerical analysis , domain (mathematical analysis) , scale (ratio) , mathematics , decomposition , convection–diffusion equation , decomposition method (queueing theory) , diffusion , diffusion equation , mathematical analysis , computer science , physics , finite element method , chemistry , statistics , thermodynamics , engineering , quantum mechanics , metric (unit) , operations management , organic chemistry

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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