Volume 5, Issue 5
Numerical Investigation on the Boundary Conditions for the Multiscale Base Functions

Shan Jiang and Yunqing Huang

Commun. Comput. Phys., 5 (2009), pp. 928-941.

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  • Abstract

We study the multiscale finite element method for solving multiscale elliptic problems with highly oscillating coefficients, which is designed to accurately capture the large scale behaviors of the solution without resolving the small scale characters. The key idea is to construct the multiscale base functions in the local partialdifferential equation with proper boundary conditions. The boundary conditions arechosen to extract more accurate boundary information in the local problem. We consider periodic and non-periodic coefficients with linear and oscillatory boundary conditions for the base functions. Numerical examples will be provided to demonstrate the effectiveness of the proposed multiscale finite element method. 

  • History

Published online: 2009-05

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