Multi-Trace Multi-Screen Methods for Mixed Transmission/Scattering Problems

Conference paper (2023)

Authors

K. Cools Universiteit Gent
Carolina Urzúa-Torres Numerical Analysis - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Copyright: © 2023 K. Cools, Carolina Urzúa-Torres
DOI: https://doi.org/10.1109/USNC-URSI52151.2023.10237968
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Published Date

2023

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

Abstract

In this contribution a novel fast-converging integral equation method is introduced that can be used to solve the mixed transmission/scattering problems by composite structures including multiple domains and metallic coatings that can contain junctions. This is achieved by combining the global multi-trace method with the quotient space discretisation of the multi-screen boundary integral equation. The method is illustrated by means of a sufficiently general geometry, the discretisation is discussed, and an effective Calderon multiplicative preconditioner is introduced. Numerical results corroborate the correctness and efficiency of the method.

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