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Spectral Element Discretization of the Maxwell Equations

F. Ben Belgacem and C. Bernardi
Mathematics of Computation
Vol. 68, No. 228 (Oct., 1999), pp. 1497-1520
Stable URL: http://www.jstor.org/stable/2584921
Page Count: 24
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Spectral Element Discretization of the Maxwell Equations
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Abstract

We consider a variational problem which is equivalent to the electromagnetism system with absorbing conditions on a part of the boundary, and we prove that it is well-posed. Next we propose a discretization relying on a finite difference scheme for the time variable and on spectral elements for the space variables, and we derive error estimates between the exact and discrete solutions.

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