Geodesic
A fast boundary element method for the solution of periodic many-inclusion problems via hierarchical matrix techniques
Paul Cazeaux1 ; Olivier Zahm2
1 MATHICSE, Chair of Computational Mathematics and Simulation Sciences, Ecole Polytechnique Fédérale de Lausanne, Station 8, CH-1015 Lausanne, Szitwerland.
2 GeM, UMR CNRS 6183, École Centrale de Nantes, 1 rue de la Noë, BP92101, 44321 Nantes Cedex 3, France.
ESAIM. Proceedings, Tome 48 (2015), pp. 156-168.

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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.
DOI : 10.1051/proc/201448006

Paul Cazeaux 1 ; Olivier Zahm 2

1 MATHICSE, Chair of Computational Mathematics and Simulation Sciences, Ecole Polytechnique Fédérale de Lausanne, Station 8, CH-1015 Lausanne, Szitwerland.
2 GeM, UMR CNRS 6183, École Centrale de Nantes, 1 rue de la Noë, BP92101, 44321 Nantes Cedex 3, France. 
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     title = {A fast boundary element method for the solution of periodic many-inclusion problems via hierarchical matrix techniques},
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Paul Cazeaux; Olivier Zahm. A fast boundary element method for the solution of periodic many-inclusion problems via hierarchical matrix techniques. ESAIM. Proceedings, Tome 48 (2015), pp. 156-168. doi : 10.1051/proc/201448006. http://geodesic.mathdoc.fr/articles/10.1051/proc/201448006/

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