Abstract
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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Communicated by Ralf Hiptmair.
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Christiansen, S.H., Halvorsen, T.G. Convergence of lattice gauge theory for Maxwell’s equations. Bit Numer Math 49, 645–667 (2009). https://doi.org/10.1007/s10543-009-0242-z
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DOI: https://doi.org/10.1007/s10543-009-0242-z