Preconditioners for Multi-Screen Scattering

Conference paper (2022)

Authors

K. Cools Universiteit Gent
Carolina Urzúa-Torres Numerical Analysis - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Copyright: © 2022 K. Cools, Carolina Urzúa-Torres
DOI: https://doi.org/10.1109/ICEAA49419.2022.9899877
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Published Date

2022

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 well-conditioned method for the modelling of scattering by so-called multi-screens or PEC sheets including junctions is introduced. The method starts from the inflated screen approach by Claeys and Hiptmair. We introduce a Calderón preconditioner and a suitable discretisation scheme. The resulting scheme contains many more DoFs than strictly required. We will show how almost all redundancy can be removed without significant loss of effectiveness of the method.

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