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An analysis of Nédélec’s method for the spatial discretization of Maxwell’s equations. (English) Zbl 0784.65091
The method of J. C. Nédélec [Numer. Math. 35, 315-341 (1980; Zbl 0419.65069)] is slightly generalized. It is demonstrated that this method can be superconvergent at some special points. A convergence proof for the method of Kane S. Yee [Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antennas Propagation AP-14, 302-307 (1966)] is included.

MSC:
65Z05 Applications to the sciences
78M20 Finite difference methods applied to problems in optics and electromagnetic theory
65N06 Finite difference methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
78A25 Electromagnetic theory (general)
35Q60 PDEs in connection with optics and electromagnetic theory
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