@Article{IJNAM-5-4,
author = {X., Wang and L.-Q., Cao},
title = {The Hole-Filling Method and the Uniform Multiscale Computation of the Elastic Equations in Perforated Domains},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {4},
pages = {612--634},
abstract = {<p style="text-align: justify;">In this paper, we discuss the boundary value problem for the
linear elastic equations in a perforated domain $\Omega^{\varepsilon}$. We fill
all holes with a very compliant material, then we study the
homogenization method and the multiscale analysis for the associated
multiphase problem in a domain $\Omega$ without holes. We are interested in
the asymptotic behavior of the solution for the multiphase problem as
the material properties of one weak phase go to zero, which has a wide
range of applications in shape optimization and in 3-D mesh generation.
The main contribution obtained in this paper is to give a full
mathematical justification for this limiting process in general senses.
Finally, some numerical results are presented, which support strongly
the theoretical results of this paper.</p>},
issn = {2617-8710},
doi = {https://doi.org/2008-IJNAM-829},
url = {https://global-sci.com/article/83727/the-hole-filling-method-and-the-uniform-multiscale-computation-of-the-elastic-equations-in-perforated-domains}
}