Fast solution of boundary integral equations for elasticity around a crack network: a comparative study

Abstract : 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.
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Communication dans un congrès
CEMRACS 2016, Jul 2016, Luminy, Marseille, France. 63, pp.135--151, 2018, ESAIM: ProcS, CEMRACS 2016 - Numerical challenges in parallel scientific computing. 〈10.1051/proc/201863135〉
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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. CEMRACS 2016, Jul 2016, Luminy, Marseille, France. 63, pp.135--151, 2018, ESAIM: ProcS, CEMRACS 2016 - Numerical challenges in parallel scientific computing. 〈10.1051/proc/201863135〉. 〈hal-01644518〉

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