Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★

Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★

Because of the non-local nature of the integral kernels at play, the discretization of boundary integral equations leads to dense matrices, which would imply high computational complexity. Acceleration techniques, such as hierarchical matrix strategies combined with Adaptive Cross Approximation (ACA...

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Main Authors: Ben Gharbia Ibtihel, Bonazzoli Marcella, Claeys Xavier, Marchand Pierre, Tournier Pierre-Henri
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201863135
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spelling doaj-e12b443448a24ee7bc66b96df43b489a2021-07-15T14:17:38ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592018-01-016313515110.1051/proc/201863135proc_esaim2018_135Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★Ben Gharbia IbtihelBonazzoli MarcellaClaeys XavierMarchand PierreTournier Pierre-HenriBecause of the non-local nature of the integral kernels at play, the discretization of boundary integral equations leads to dense matrices, which would imply high computational complexity. Acceleration techniques, such as hierarchical matrix strategies combined with Adaptive Cross Approximation (ACA), are available in literature. Here we apply such a technique to the solution of an elastostatic problem, arising from industrial applications, posed at the surface of highly irregular cracks networks.https://doi.org/10.1051/proc/201863135
collection DOAJ
language English
format Article
sources DOAJ
author Ben Gharbia Ibtihel
Bonazzoli Marcella
Claeys Xavier
Marchand Pierre
Tournier Pierre-Henri
spellingShingle Ben Gharbia Ibtihel
Bonazzoli Marcella
Claeys Xavier
Marchand Pierre
Tournier Pierre-Henri
Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★
ESAIM: Proceedings and Surveys
author_facet Ben Gharbia Ibtihel
Bonazzoli Marcella
Claeys Xavier
Marchand Pierre
Tournier Pierre-Henri
author_sort Ben Gharbia Ibtihel
title Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★
title_short Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★
title_full Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★
title_fullStr Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★
title_full_unstemmed Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study★
title_sort fast solution of boundary integral equations for elasticity around a crack network: a comparative study★
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2018-01-01
description Because of the non-local nature of the integral kernels at play, the discretization of boundary integral equations leads to dense matrices, which would imply high computational complexity. Acceleration techniques, such as hierarchical matrix strategies combined with Adaptive Cross Approximation (ACA), are available in literature. Here we apply such a technique to the solution of an elastostatic problem, arising from industrial applications, posed at the surface of highly irregular cracks networks.
url https://doi.org/10.1051/proc/201863135
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AT claeysxavier fastsolutionofboundaryintegralequationsforelasticityaroundacracknetworkacomparativestudy
AT marchandpierre fastsolutionofboundaryintegralequationsforelasticityaroundacracknetworkacomparativestudy
AT tournierpierrehenri fastsolutionofboundaryintegralequationsforelasticityaroundacracknetworkacomparativestudy
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