Title
A Numerical Comparison of an Isogeometric and a Classical Higher-Order Approach to the Electric Field Integral Equation.
Abstract
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.
Year
Venue
Field
2018
arXiv: Computational Engineering, Finance, and Science
Convergence (routing),Spline (mathematics),Applied mathematics,Electric-field integral equation,Mathematical optimization,Parametric statistics,Scattering,Mathematics,Pointwise
DocType
Volume
Citations 
Journal
abs/1807.03628
0
PageRank 
References 
Authors
0.34
4
4
Name
Order
Citations
PageRank
Jürgen Dölz121.58
Stefan Kurz221.24
Sebastian Schöps32418.23
Felix Wolf432.94