With the need for ever faster codes, a limiting factor that must be dealt with is the accurate yet efficient evaluation of interaction integrals between the more problematic near-field elements. Several recent works have together shown that all evaluations of source potential integrals and their derivatives for the most common bases and elements can be reduced to the evaluation of boundary line integrals; these can be evaluated by Gauss-Legendre quadrature, though integrand-smoothing transforms are often needed to accelerate their computation. In this paper, we modify the reported approach to eliminate cancellation errors in the line integral integrand, reinterpret the integral as a vertex function, and study the scalar potential integral form under the sinh transform and static subtraction acceleration methods.
Evaluation of Near Singular Integrals for Computational Electromagnetics by Dimensionality Reduction / Wilton, D. R.; Khayat, M. A.; Johnson, W. A.; Rivero, J.; Vipiana, F.. - ELETTRONICO. - (2022). (Intervento presentato al convegno 16th European Conference on Antennas and Propagation, EuCAP 2022 tenutosi a Madrid, Spain nel 27 March 2022 - 01 April 2022) [10.23919/EuCAP53622.2022.9769088].
Evaluation of Near Singular Integrals for Computational Electromagnetics by Dimensionality Reduction
Vipiana F.
2022
Abstract
With the need for ever faster codes, a limiting factor that must be dealt with is the accurate yet efficient evaluation of interaction integrals between the more problematic near-field elements. Several recent works have together shown that all evaluations of source potential integrals and their derivatives for the most common bases and elements can be reduced to the evaluation of boundary line integrals; these can be evaluated by Gauss-Legendre quadrature, though integrand-smoothing transforms are often needed to accelerate their computation. In this paper, we modify the reported approach to eliminate cancellation errors in the line integral integrand, reinterpret the integral as a vertex function, and study the scalar potential integral form under the sinh transform and static subtraction acceleration methods.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2982068