Geodesic
Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study
Ibtihel Ben Gharbia1 ; Marcella Bonazzoli2 ; Xavier Claeys3 ; Pierre Marchand3 ; Pierre-Henri Tournier3
1 IFP Energies nouvelles, 1 et 4 avenue de Bois-Préau, Rueil-Malmaison; 92852
2 Université Côte d’Azur, CNRS, LJAD, France;
3 Sorbonne Universités, UPMC Univ Paris 06, CNRS, INRIA, UMR 7598, Labo. Jacques-Louis Lions, équipe Alpines, 75005, Paris;
ESAIM. Proceedings, Tome 63 (2018), pp. 135-151 Cet article a éte moissonné depuis la source EDP Sciences

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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.
DOI : 10.1051/proc/201863135

Ibtihel Ben Gharbia 1 ; Marcella Bonazzoli 2 ; Xavier Claeys 3 ; Pierre Marchand 3 ; Pierre-Henri Tournier 3

1 IFP Energies nouvelles, 1 et 4 avenue de Bois-Préau, Rueil-Malmaison; 92852
2 Université Côte d’Azur, CNRS, LJAD, France;
3 Sorbonne Universités, UPMC Univ Paris 06, CNRS, INRIA, UMR 7598, Labo. Jacques-Louis Lions, équipe Alpines, 75005, Paris; 
@article{EP_2018_63_a6,
     author = {Ibtihel Ben Gharbia and Marcella Bonazzoli and Xavier Claeys and Pierre Marchand and Pierre-Henri Tournier},
     title = {Fast {Solution} of {Boundary} {Integral} {Equations} for {Elasticity} {Around} a {Crack} {Network:} {A} {Comparative} {Study}},
     journal = {ESAIM. Proceedings},
     pages = {135--151},
     year = {2018},
     volume = {63},
     doi = {10.1051/proc/201863135},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201863135/}
}
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%A Xavier Claeys
%A Pierre Marchand
%A Pierre-Henri Tournier
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%J ESAIM. Proceedings
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Ibtihel Ben Gharbia; Marcella Bonazzoli; Xavier Claeys; Pierre Marchand; Pierre-Henri Tournier. Fast Solution of Boundary Integral Equations for Elasticity Around a Crack Network: A Comparative Study. ESAIM. Proceedings, Tome 63 (2018), pp. 135-151. doi: 10.1051/proc/201863135

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