Regular ArticleFourier Analysis of Numerical Algorithms for the Maxwell Equations☆
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2017, Journal of Computational PhysicsCitation Excerpt :The rest of the nodes in the domain are placed via a simulated static repulsion routine, resulting in a hex-like, quasi-uniform arrangement as seen in Fig. 5. Based on the analysis in [13] and tests in [14], we argue that such a structure is at least as inherently resistant to dispersion error as a Cartesian grid of nodes with the same spatial resolution. In 1-D, we determined each support monomial for an FD stencil that crosses an interface by examining every row of (37) associated with time derivatives of constant expansion terms after k applications of the differential operator D. For (both) continuous data fields, all time derivatives of their constant expansion terms had to be equal across the interface for continuity of traction and motion to hold as time passes.
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This paper was originally presented at the AIAA 31st Aerospace Sciences Meeting held in Reno, Nevada on Jan. 11–14, 1993.