Solving Maxwell's Eigenvalue Problem via Isogeometric Boundary Elements and a Contour Integral Method
TLDR
This work solves Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method and discusses the analytic properties of the discretisation, and outlines the implementation.Abstract:
We solve Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method. We discuss the analytic properties of the discretisation, outline the implementation, and showcase numerical examples.read more
Citations
More filters
Journal ArticleDOI
Solving acoustic scattering problems by the isogeometric boundary element method
TL;DR: In this paper , the authors solved acoustic scattering problems by means of the isogeometric boundary integral equation method, which was discretized by Galerkin's method, enabling the mathematically correct regularization of the hypersingular integral operator.
References
More filters
Journal ArticleDOI
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
Book
The NURBS Book
Les A. Piegl,Wayne Tiller +1 more
TL;DR: This chapter discusses the construction of B-spline Curves and Surfaces using Bezier Curves, as well as five Fundamental Geometric Algorithms, and their application to Curve Interpolation.
Book
Strongly Elliptic Systems and Boundary Integral Equations
TL;DR: In this article, the Laplace equation, the Helmholtz equation, and the Sobolev spaces of strongly elliptic systems have been studied and further properties of spherical harmonics have been discussed.
Book
Finite Element Methods for Maxwell's Equations
TL;DR: In this paper, a survey of finite element methods for approximating the time harmonic Maxwell equations is presented, and error estimates for problems with spatially varying coefficients are compared for three DG families: interior penalty type, hybridizable DG, and Trefftz type methods.