Solving Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method

Gerhard Unger; Stefan Michael Kurz; Sebastian Schöps; Felix Wolf

doi:10.1002/mma.7447

Solving Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method

Gerhard Unger^*, Stefan Michael Kurz, Sebastian Schöps, Felix Wolf

^*Corresponding author for this work

Institute of Applied Mathematics (5040)

Research output: Contribution to journal › Article › peer-review

Abstract

We solve Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method. We discuss the analytic properties of the discretization, outline the implementation, and showcase numerical examples.

Original language	English
Pages (from-to)	10790-10803
Number of pages	14
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	13
DOIs	https://doi.org/10.1002/mma.7447
Publication status	Published - 2021

Keywords

BEM
IGA
Maxwell's eigenvalue problem

ASJC Scopus subject areas

Engineering(all)
Mathematics(all)

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10.1002/mma.7447Licence: CC BY 4.0

Cite this

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title = "Solving Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method",

abstract = "We solve Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method. We discuss the analytic properties of the discretization, outline the implementation, and showcase numerical examples.",

keywords = "BEM, IGA, Maxwell's eigenvalue problem",

author = "Gerhard Unger and Kurz, {Stefan Michael} and Sebastian Sch{\"o}ps and Felix Wolf",

year = "2021",

doi = "10.1002/mma.7447",

language = "English",

volume = "44",

pages = "10790--10803",

journal = "Mathematical Methods in the Applied Sciences",

issn = "1099-1476",

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T1 - Solving Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method

AU - Unger, Gerhard

AU - Kurz, Stefan Michael

AU - Schöps, Sebastian

AU - Wolf, Felix

PY - 2021

Y1 - 2021

N2 - We solve Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method. We discuss the analytic properties of the discretization, outline the implementation, and showcase numerical examples.

AB - We solve Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method. We discuss the analytic properties of the discretization, outline the implementation, and showcase numerical examples.

KW - BEM

KW - IGA

KW - Maxwell's eigenvalue problem

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U2 - 10.1002/mma.7447

DO - 10.1002/mma.7447

M3 - Article

SN - 1099-1476

VL - 44

SP - 10790

EP - 10803

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 13

ER -

Solving Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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