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

TL;DR

This paper introduces a MATLAB package that combines Trefftz Discontinuous Galerkin methods with the T-matrix approach to efficiently solve multiple scattering problems involving polygonal obstacles.

Contribution

The paper presents a novel MATLAB framework integrating Trefftz Discontinuous Galerkin and T-matrix methods for multiple scattering by polygonal obstacles.

Findings

Successfully couples Trefftz DG with T-matrix methods in MATLAB.

Provides a computational framework for complex multiple scattering problems.

Enables efficient numerical approximation of T-matrices for polygonal obstacles.

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. 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.