Systems of Differential Algebraic Equations in Computational Electromagnetics

Idoia Cortes Garcia, Sebastian Schöps, Herbert De Gersem, Sascha Baumanns

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

Starting from space-discretisation of Maxwell's equations, various classical formulations are proposed for the simulation of electromagnetic fields. They differ in the phenomena considered as well as in the variables chosen for discretisation. This contribution presents a literature survey of the most common approximations and formulations with a focus on their structural properties. The differential-algebraic character is discussed and quantified by the differential index concept.
Original languageEnglish
Title of host publicationApplications of Differential-Algebraic Equations
Subtitle of host publicationExamples and Benchmarks
EditorsStephen Campbell
Place of PublicationCham
PublisherSpringer
Chapter8
Pages123-169
Number of pages47
ISBN (Electronic)978-3-030-03718-5
ISBN (Print)978-3-030-03717-8
DOIs
Publication statusPublished - 2019
Externally publishedYes

Publication series

NameDifferential-Algebraic Equations Forum (DAEF)
PublisherSpringer
ISSN (Print)2199-7497
ISSN (Electronic)2199-840X

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