A fast boundary element method for the solution of periodic many-inclusion problems via hierarchical matrix techniques******
Our work is motivated by numerical homogenization of materials such as concrete, modeled as composites structured as randomly distributed inclusions imbedded in a matrix. In this paper, we propose a method for the approximation of the periodic corrector problem based on...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2015-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201448006 |
| Summary: | Our work is motivated by numerical homogenization of materials such as concrete, modeled
as composites structured as randomly distributed inclusions imbedded in a matrix. In this
paper, we propose a method for the approximation of the periodic corrector problem based
on boundary integral equations. The fully populated matrices obtained by the
discretization of the integral operators are successfully dealt with using the
ℋ-matrix format. |
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| ISSN: | 2267-3059 |