The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations

Mikhail A. Bochev, D. Harutyunyan, Jacobus J.W. van der Vegt

    Research output: Contribution to journalArticleAcademicpeer-review

    11 Citations (Scopus)
    6 Downloads (Pure)


    This paper deals with the numerical solution of the time dependent Maxwell equations. In particular, we are interested in time integration of the three-dimensional Maxwell equations discretized in space by Nedelec’s edge finite elements [28,29]. Nedelec’s edge and face elements have a number of attractive properties (as e.g. automatic satisfaction of the proper continuity requirements across the boundaries between different materials) and are a standard tool in the numerical treatment of the Maxwell equations [25].We emphasize, however, that the time integration techniques presented in this paper are applicable to any space-discretized second order wave equation(s).
    Original languageUndefined
    Article number10.1016/
    Pages (from-to)654-686
    Number of pages33
    JournalJournal of computational physics
    Issue numbersuppl 2/2
    Publication statusPublished - 10 Aug 2006


    • EWI-8537
    • METIS-237781
    • IR-63812

    Cite this