Right-Hand Side Effects: Accuracy of Fast Iterative Solutions of Potential Integral Equation-Based Systems of Multiscale Perfectly Conducting Scatterers

This study investigates the right-hand side effects on the convergence and accuracy of fast iterative solutions of potential integral equations (PIEs) using the incomplete leaf multilevel fast multipole algorithm (IL-MLFMA) for multiscale scattering problems. The analysis focuses on the impact of different plane-wave representations. Numerical results for a canonical example underscore the critical role of these representations in achieving accurate and efficient far-field solutions.

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Published
2025-05-18
DOI
https://doi.org/10.23919/aces66556.2025.11052544
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

Right-Hand Side Effects: Accuracy of Fast Iterative Solutions of Potential Integral Equation-Based Systems of Multiscale Perfectly Conducting Scatterers

Vakur B. Ertürk, Bahram Khalichi
Advanced Mathematical Modeling in Engineering
article

Right-Hand Side Effects: Accuracy of Fast Iterative Solutions of Potential Integral Equation-Based Systems of Multiscale Perfectly Conducting Scatterers

Vakur B. Ertürk, Bahram Khalichi
article en

Abstract

This study investigates the right-hand side effects on the convergence and accuracy of fast iterative solutions of potential integral equations (PIEs) using the incomplete leaf multilevel fast multipole algorithm (IL-MLFMA) for multiscale scattering problems. The analysis focuses on the impact of different plane-wave representations. Numerical results for a canonical example underscore the critical role of these representations in achieving accurate and efficient far-field solutions.

Bilkent University (TR), Courant Institute of Mathematical Sciences (US), New York University (US)
Openalex Percentile: Top 83%
Advanced Mathematical Modeling in Engineering
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Right-Hand Side Effects: Accuracy of Fast Iterative Solutions of Potential Integral Equation-Based Systems of Multiscale Perfectly Conducting Scatterers — Vakur B. Ertürk, Bahram Khalichi · (2025) | TGRS Research Map | TGRS