TMATDG: applying TDG methods to multiple scattering via T-matrix approximation

Authors

  • Armando Maria Monforte University of Pavia

DOI:

https://doi.org/10.13135/3103-1935/13227

Keywords:

Multiple scattering, Helmholtz equation, T-matrix, Discontinuous Galerkin, Trefftz method

Abstract

We present a MATLAB package for the solution of multiple scattering problems, coupling Trefftz Discontinuos Galerkin methods for Helmholtz scattering with the T-matrix method. The method applies to both impenetrable and penetrable scatterers and relies on plane wave discrete spaces; the DtN-TDG formulation for the transmission problem is new. We rely on the TMATROM package to numerically approximate the T-matrices and deal with multiple scattering problem, providing a framework to handle scattering by polygonal obstacles.

Published

2026-09-14

How to Cite

Monforte, A. M. (2026). TMATDG: applying TDG methods to multiple scattering via T-matrix approximation. Journal of Approximation Software, 3(2). https://doi.org/10.13135/3103-1935/13227

Issue

Section

Articles