@Article{CiCP-5-5,
author = {},
title = {Numerical Investigation on the Boundary Conditions for the Multiscale Base Functions},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {5},
pages = {928--941},
abstract = {<p style="text-align: justify;">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 partial differential
equation with proper boundary conditions. The boundary conditions are chosen 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.</p>},
issn = {1991-7120},
doi = {https://doi.org/2009-CiCP-7771},
url = {https://global-sci.com/article/81123/numerical-investigation-on-the-boundary-conditions-for-the-multiscale-base-functions}
}