On some Operator Filtering Strategies Based on Suitably Modified Green's Functions

2023/07/18 by Matteo E. Masciocchi, Masciocchi, Matteo E., Ermanno Citraro +9 · 1 citation
Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2307.09276

openalex publication_date 2023/07/18 · openalex created_date 2023/07/20 · openalex updated_date 2026/08/03

Abstract

Recent contributions showed the benefits of operator filtering for both preconditioning and fast solution strategies. While previous contributions leveraged laplacian-based filters, in this work we introduce and study a different approach leveraging the truncation of appropriately chosen spectral representations of operators' kernels. In this contribution, the technique is applied to the operators of the 2D TE- and TM-electric field integral equations (EFIE). We explore two different spectral representations for the 2D Green's function that lead to two distinct types of filtering of the EFIE operators. Numerical results corroborate the effectiveness of the newly proposed approaches, also in the Calderón preconditioned EFIE

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