Higher Order Spatial Operators for the Finite Integration Theory
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Higher Order Spatial Operators for the Finite Integration TheoryAbstract
The Finite Integration Technique (FIT) according to T. Weiland is an efficient and universal method for solving a large scale of problems in computational electrodynamics. Up to now the conventional formulation itself has had an accuracy order of two with respect to the spatial discretization. In this paper an innovative extension to fourth or even higher order is presented. The convergence of the presented scheme is demonstrated by a general dispersion equation and stability issues are discussed. An approach for a stable spatial interface connecting regions of higher order with the standard FIT scheme is proposed.
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