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Fast BEM Solution for 2-D Scattering Problems Using Quantized Tensor-Train Format

Jean-René Poirier 1 Olivier Coulaud 2 Oguz Kaya 3
1 LAPLACE - LAboratoire PLasma et Conversion d'Energie
2 HiePACS - High-End Parallel Algorithms for Challenging Numerical Simulations
LaBRI - Laboratoire Bordelais de Recherche en Informatique, Inria Bordeaux - Sud-Ouest
3 Université Paris-Saclay
Abstract : It is common to accelerate the boundary element method (BEM) by compression techniques [fast multipole method (FMM), H-matrix/adaptive cross approximation (ACA)] that enable a more accurate solution or a solution in higher frequency. In this article, we present a compression method based on a transformation of the linear system into the tensor-train format by the quantization technique. The method is applied to a scattering problem on a canonical object with a regular mesh and improves the performance obtained from existing methods.
Keywords : Boundary integral equations Quantized tensor train (QTT)
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https://hal.inria.fr/hal-03150956
Contributor : Olivier Coulaud <>
Submitted on : Thursday, March 4, 2021 - 10:48:15 AM
Last modification on : Thursday, March 4, 2021 - 2:49:04 PM

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LAPLACE_GREM3 | INRIA | CNRS | LAPLACE | LABRI | UNIV-BORDEAUX | UNIV-TLSE3 | PLAFRIM

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Jean-René Poirier, Olivier Coulaud, Oguz Kaya. Fast BEM Solution for 2-D Scattering Problems Using Quantized Tensor-Train Format. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2020, 56 (3), pp.1-4. ⟨10.1109/TMAG.2019.2954584⟩. ⟨hal-03150956⟩

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