Journal
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
Volume 70, Issue 8, Pages 7004-7010Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2022.3164182
Keywords
Boundary integral equations; electromagnetic scattering-transmission problems; finite element method (FEM)-boundary element method (BEM) coupling; integro-differential equations; quantized tensor train (QTT) decomposition
Funding
- Agence Innovation Defense (AID)
- Office National d'Etudes et de Recherches Aerospatiales (ONERA)
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In this paper, we present a new numerical scheme for efficiently solving scattering problems involving elongated and flat heterogeneous dielectric materials. The scheme uses a quantized tensor train (QTT) algorithm to compress the integral operators of an integro-differential formulation, resulting in small memory footprint and fast matrix-vector product.
We present a new numerical scheme to solve efficiently scattering problems involving an elongated and flat heterogeneous dielectric material assumed to be invariant along a direction of space. The technique consists of compressing the integral operators of an integro-differential formulation with a so-called quantized tensor train (QTT) algorithm whose use is rather original in this context. We show that it allows to compute and store operators with a notably small memory footprint while having at the same time a fast matrix-vector product (MVP) leading to a competitive method compared with the more classical H-matrix approach.
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