A Mixed-Order Divergence-Conforming Locally Corrected Nyström Method for Pyramidal Cells

A mixed-order divergence-conforming method for pyramidal cells is presented for use with a locally corrected Nyström discretization of a volume integral equation. The function space is developed from a mixed-order divergence-conforming interpolatory basis set. Determination of a suitable pyramidal quadrature rule is discussed. Results are presented for a volume integral equation discretization of the electric-field integral equation and applied to plane wave scattering from a dielectric sphere.

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Published
2025-05-18
DOI
https://doi.org/10.23919/aces66556.2025.11052527
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

A Mixed-Order Divergence-Conforming Locally Corrected Nyström Method for Pyramidal Cells

John C. Young, Stephen D. Gedney, Jordon N. Blackburn, Robert J. Adams
Iterative Methods for Nonlinear Equations
article

A Mixed-Order Divergence-Conforming Locally Corrected Nyström Method for Pyramidal Cells

John C. Young, Stephen D. Gedney, Jordon N. Blackburn, Robert J. Adams
article en

Abstract

A mixed-order divergence-conforming method for pyramidal cells is presented for use with a locally corrected Nyström discretization of a volume integral equation. The function space is developed from a mixed-order divergence-conforming interpolatory basis set. Determination of a suitable pyramidal quadrature rule is discussed. Results are presented for a volume integral equation discretization of the electric-field integral equation and applied to plane wave scattering from a dielectric sphere.

University of Denver (US), University of Kentucky (US), University of Colorado Denver (US)
Office of Naval Research
Openalex Percentile: Top 76%
Iterative Methods for Nonlinear Equations
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A Mixed-Order Divergence-Conforming Locally Corrected Nyström Method for Pyramidal Cells — John C. Young, Stephen D. Gedney, et al. · (2025) | TGRS Research Map | TGRS