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arxiv: 1807.03628 · v1 · pith:6WSHPHL6new · submitted 2018-07-10 · 💻 cs.CE

A Numerical Comparison of an Isogeometric and a Classical Higher-Order Approach to the Electric Field Integral Equation

J\"urgen D\"olz , Stefan Kurz , Sebastian Sch\"ops , Felix Wolf This is my paper
classification 💻 cs.CE
keywords approachisogeometricclassicalelectricelementsequationfieldhigher-order
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In this paper, we advocate a novel spline-based isogeometric approach for boundary elements and its efficient implementation. We compare solutions obtained by both an isogeometric approach, and a classical parametric higher-order approach via Raviart-Thomas elements to the solution of the electric field integral equation; i.e., the solution to an electromagnetic scattering problem, promising high convergence orders w.r.t. pointwise error. We discuss both, the obtained accuracy per DOF, as well as the effort required to solve the corresponding system iteratively, on three numerical examples of varying complexity.

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  1. A Low-Frequency-Stable Higher-Order Isogeometric Discretization of the Augmented Electric Field Integral Equation

    cs.CE 2024-01 unverdicted novelty 5.0

    A higher-order isogeometric discretization of the augmented EFIE using NURBS geometry representation that avoids low-frequency breakdown via deflation and demonstrates convergence on academic and realistic cases.