High order description of complex geometries for integral equation methods in electromagnetic scattering problems

Abstract:

This paper shows a new technique to produce infinitely differentiable geometries from a finite set of control points. The technique is used in other communities (computer graphics) and will be very useful for the implementation of high order integral equation methods in computational electromag-netics. In this paper we show the 2D case (curves) and show some examples of a possible extension to surfaces in 3D. Along the process we construct a discrete set of points on the smooth geometry together with weights, normal and tangent vectors that allow us to discretize to high order any integral on that geometry.

Año de publicación:

2018

Keywords:

• Numerical Methods
• Integral equation methods

Fuente:

scopus