Heterogeneous domain decomposition method for high contrast dense composites

Heterogeneous domain decomposition method for high contrast dense composites 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Computational and Applied Mathematics Elsevier

Heterogeneous domain decomposition method for high contrast dense composites

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Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier B.V.
ISSN
0377-0427
eISSN
1879-1778
D.O.I.
10.1016/j.cam.2018.01.008
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Journal of Computational and Applied MathematicsElsevier

Published: Aug 1, 2018

References

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