DeepAI AI Chat
Log In Sign Up

Solving Maxwell's Eigenvalue Problem via Isogeometric Boundary Elements and a Contour Integral Method

01/27/2020
by   Stefan Kurz, et al.
0

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 FULL TEXT

page 1

page 2

page 3

page 4

12/29/2020

Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach

Contour integral methods for nonlinear eigenvalue problems seek to compu...
12/10/2021

Contour Integral-based Quantum Algorithm for Estimating Matrix Eigenvalue Density

The eigenvalue density of a matrix plays an important role in various ty...
01/04/2021

The hot spots conjecture can be false: Some numerical examples

The hot spots conjecture is only known to be true for special geometries...
04/16/2023

The Contour integral method for Feynman-Kac equation with two internal states

We develop the contour integral method for numerically solving the Feynm...
01/02/2019

Photo-Sketching: Inferring Contour Drawings from Images

Edges, boundaries and contours are important subjects of study in both c...
06/24/2022

Computing diffraction anomalies as nonlinear eigenvalue problems

When a plane electromagnetic wave impinges upon a diffraction grating or...
02/28/2020

Risk Bounds for Multi-layer Perceptrons through Spectra of Integral Operators

We characterize the behavior of integral operators associated with multi...