Heterogeneous domain decomposition method for high contrast dense composites

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:337

Article

Gorb, Yuliya¹  Kurzanova, Daria¹ 

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

关键词: High contrast;    Dense composites;    Dirichlet to Neumann map;    Heterogeneous domain decomposition method;   

DOI  :  10.1016/j.cam.2018.01.008

来源: Elsevier

【 摘 要 】

This paper is on numerical treatment of problems that describe high contrast composite materials with complex geometry. In particular, a heterogeneous domain decomposition method for a class of diffusion problems with rapidly oscillating coefficients that also have large variation of values within the domain is proposed. The method combines a FEM discretization in one subdomain with an asymptotic representation of the Dirichlet to Neumann map for the other subdomain. Numerical results that demonstrate the feasibility of the proposed approach are also provided. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free