Origami Basis Functions for Modeling the Curvature Correction in H-refinement Methods via Method of Moments

In computational electromagnetics, the accuracy of simulations is significantly influenced by the meshing quality of the structures under analysis. Higher mesh density generally translates into higher accuracy as it provides a more detailed representation of the structure, although at the expense of greater demands on computational resources. This is particularly true in multiscale problems, where the different levels of detail make the impact of mesh density and quality even more critical. In this context, adaptive meshing techniques, especially through h-refinement, arise as a powerful tool for addressing these problems [1, 2]. H-refinement involves locally refining the mesh in areas lacking accuracy depending on an error estimation process. This method allows for targeted subdivisions in regions with higher errors, thereby systematically reducing the overall error and achieving the desired level of accuracy.

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Published
2024-09-02
DOI
https://doi.org/10.1109/iceaa61917.2024.10701935
Primary Topic
Advanced Numerical Analysis Techniques
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article
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article

Origami Basis Functions for Modeling the Curvature Correction in H-refinement Methods via Method of Moments

J. A. Tobón Vasquez, J. M. Taboada, Francesca Vipiana, Victor F. Martín et al.
Advanced Numerical Analysis Techniques
article

Origami Basis Functions for Modeling the Curvature Correction in H-refinement Methods via Method of Moments

J. A. Tobón Vasquez, J. M. Taboada, Francesca Vipiana, Victor F. Martín, L. Landesa
article en

Abstract

In computational electromagnetics, the accuracy of simulations is significantly influenced by the meshing quality of the structures under analysis. Higher mesh density generally translates into higher accuracy as it provides a more detailed representation of the structure, although at the expense of greater demands on computational resources. This is particularly true in multiscale problems, where the different levels of detail make the impact of mesh density and quality even more critical. In this context, adaptive meshing techniques, especially through h-refinement, arise as a powerful tool for addressing these problems [1, 2]. H-refinement involves locally refining the mesh in areas lacking accuracy depending on an error estimation process. This method allows for targeted subdivisions in regions with higher errors, thereby systematically reducing the overall error and achieving the desired level of accuracy.

Politecnico di Torino (IT), Universidad de Extremadura (ES)
Openalex Percentile: Top 81%
Advanced Numerical Analysis Techniques
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