Space–time variational methods for Maxwell's equations

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

The efficient and accurate numerical solution of the time–dependent Maxwell equations is one of the most challenging tasks, see, e.g., [1]. Besides semi–discretization methods such as the method of lines and Laplace transformation approaches, space–time variational formulations became popular in recent years. Here the variational principle is applied simultaneously in space and time, which later requires the solution of the global linear system of algebraic equations. But this can be done in parallel, and the space–time formulation allows for an adaptive resolution of the solution in space and time simultaneously. Following previous work [3,5] on the acoustic wave equation we present two variational formulations for the solution of the electromagnetic wave equation.
Original languageEnglish
Title of host publicationProceedings in Applied Mathematics and Mechanics
Number of pages2
Volume19,1
DOIs
Publication statusPublished - 18 Nov 2019
EventGAMM 2019: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics - Vienna, Austria
Duration: 18 Feb 201922 Feb 2019

Conference

ConferenceGAMM 2019
CountryAustria
CityVienna
Period18/02/1922/02/19

Fingerprint

Maxwell equation
formulations
wave equations
Laplace transformation
variational principles
linear systems
electromagnetic radiation
acoustics

Cite this

Hauser, J. I. M., & Steinbach, O. (2019). Space–time variational methods for Maxwell's equations. In Proceedings in Applied Mathematics and Mechanics (Vol. 19,1). [e201900221] https://doi.org/10.1002/pamm.201900221

Space–time variational methods for Maxwell's equations. / Hauser, Julia Ines Mareike; Steinbach, Olaf.

Proceedings in Applied Mathematics and Mechanics. Vol. 19,1 2019. e201900221.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Hauser, JIM & Steinbach, O 2019, Space–time variational methods for Maxwell's equations. in Proceedings in Applied Mathematics and Mechanics. vol. 19,1, e201900221, GAMM 2019, Vienna, Austria, 18/02/19. https://doi.org/10.1002/pamm.201900221
Hauser JIM, Steinbach O. Space–time variational methods for Maxwell's equations. In Proceedings in Applied Mathematics and Mechanics. Vol. 19,1. 2019. e201900221 https://doi.org/10.1002/pamm.201900221
Hauser, Julia Ines Mareike ; Steinbach, Olaf. / Space–time variational methods for Maxwell's equations. Proceedings in Applied Mathematics and Mechanics. Vol. 19,1 2019.
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