Convergence of lattice gauge theory for Maxwell’s equations

In this article we prove convergence of Lattice Gauge Theory in the energy norm for electromagnetism, which corresponds to gauge group U(1). This is done by stability analysis and comparison with the classical Yee-scheme which is convergent.

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Bibliographische Detailangaben
Veröffentlicht in:	BIT (Nordisk Tidskrift for Informationsbehandling) 2009-12, Vol.49 (4), p.645-667
Hauptverfasser:	Christiansen, Snorre H., Halvorsen, Tore Gunnar
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics. Ordered structures Computational Mathematics and Numerical Analysis Exact sciences and technology Mathematics Mathematics and Statistics Numeric Computing Order, lattices, ordered algebraic structures Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	In this article we prove convergence of Lattice Gauge Theory in the energy norm for electromagnetism, which corresponds to gauge group U(1). This is done by stability analysis and comparison with the classical Yee-scheme which is convergent.
ISSN:	0006-3835 1572-9125
DOI:	10.1007/s10543-009-0242-z