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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2015-01-01
|
| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201448006 |
| _version_ | 1797967098802077696 |
|---|---|
| author | Cazeaux Paul Zahm Olivier |
| author_facet | Cazeaux Paul Zahm Olivier |
| author_sort | Cazeaux Paul |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T02:24:44Z |
| format | Article |
| id | doaj.art-606f356e1c94450e850e8eaf8ec40429 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T02:24:44Z |
| publishDate | 2015-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-606f356e1c94450e850e8eaf8ec404292023-01-02T22:51:59ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592015-01-014815616810.1051/proc/201448006proc144806A fast boundary element method for the solution of periodic many-inclusion problems via hierarchical matrix techniques******Cazeaux Paul0Zahm Olivier1MATHICSE, Chair of Computational Mathematics and Simulation Sciences, Ecole Polytechnique Fédérale de Lausanne, Station 8, CH-1015GeM, UMR CNRS 6183, École Centrale de NantesOur 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.http://dx.doi.org/10.1051/proc/201448006 |
| spellingShingle | Cazeaux Paul Zahm Olivier A fast boundary element method for the solution of periodic many-inclusion problems via hierarchical matrix techniques****** ESAIM: Proceedings and Surveys |
| title | A fast boundary element method for the solution of periodic
many-inclusion problems via hierarchical matrix techniques****** |
| title_full | A fast boundary element method for the solution of periodic
many-inclusion problems via hierarchical matrix techniques****** |
| title_fullStr | A fast boundary element method for the solution of periodic
many-inclusion problems via hierarchical matrix techniques****** |
| title_full_unstemmed | A fast boundary element method for the solution of periodic
many-inclusion problems via hierarchical matrix techniques****** |
| title_short | A fast boundary element method for the solution of periodic
many-inclusion problems via hierarchical matrix techniques****** |
| title_sort | fast boundary element method for the solution of periodic many inclusion problems via hierarchical matrix techniques |
| url | http://dx.doi.org/10.1051/proc/201448006 |
| work_keys_str_mv | AT cazeauxpaul afastboundaryelementmethodforthesolutionofperiodicmanyinclusionproblemsviahierarchicalmatrixtechniques AT zahmolivier afastboundaryelementmethodforthesolutionofperiodicmanyinclusionproblemsviahierarchicalmatrixtechniques AT cazeauxpaul fastboundaryelementmethodforthesolutionofperiodicmanyinclusionproblemsviahierarchicalmatrixtechniques AT zahmolivier fastboundaryelementmethodforthesolutionofperiodicmanyinclusionproblemsviahierarchicalmatrixtechniques |