On Operator Filtering for Integral Equations: the High-Order Case

被引：0

作者：

Bourhis, Johann ^{[1
]}

Franzo, Damiano ^{[1
]}

Hem-y, Clement ^{[2
]}

Merlini, Adrien ^{[2
]}

Andriulli, Francesco P. ^{[1
]}

机构：

[1] Politecn Torino, Turin, Italy

[2] IMT Atlantique, Brest, France

来源：

2024 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION AND INC/USNCURSI RADIO SCIENCE MEETING, AP-S/INC-USNC-URSI 2024 | 2024年

基金：

欧盟地平线“2020”;

关键词：

D O I：

10.1109/AP-S/INC-USNC-URSI52054.2024.10686349

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this work, we extend the standard quasi-Helmholtz filters to high-order discretizations in the context of the boundary element method. This generalization allows preconditioning integral equations such as the electric field integral equation (EFIE) in the h-refinement regime while preserving the accuracy gain of high-order discretizations. The theoretical framework will be corroborated by numerical results that validate the effectiveness of the proposed strategy when stabilizing the refinement-dependent spectral behavior of the high-order discretized EFIE.

引用

页码：221 / 222

页数：2

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