Space–time variational methods for Maxwell's equations

Julia Ines Mareike Hauser, Olaf Steinbach

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


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
Publication statusPublished - 18 Nov 2019
Event90th Annual Meeting of the International Association of Applied Mathematics and Mechanics: GAMM 2019 - Vienna, Austria
Duration: 18 Feb 201922 Feb 2019


Conference90th Annual Meeting of the International Association of Applied Mathematics and Mechanics
Other90. GAMM Tagung


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