Section: New Results

Parallel Low-Rank Linear System and Eigenvalue Solvers Using Tensor Decompositions

It is common to accelerate the boundary element method by compression techniques (FMM, $\mathscr{H}$-matrix/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. This method has been presented at the 22nd International Conference on the Computation of Electromagnetic Field, (COMPUMAG 2019) [12] and an extented version is accepted in IEEE TRANSACTIONS ON MAGNETICS.