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By exploiting the geometric structure behind Maxwell's equations, the so called discrete geometric approach allows to translate the physical laws of electromagnetism into discrete relations, involving circulations and fluxes associated with the geometric elements of a pair of interlocked grids: the primal grid and the dual grid.
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We prove and give analytical expressions for the discrete dispersion relations for this scheme.
This paper analyses discrete dispersion relations together with numerical propagation accuracy to determine the effect of tetrahedral shape on the phase accuracy of standard 3-D edge-element approximations in comparison to other methods.
For a specific choice of parameters, the discrete dispersion relation approximates the continuous dispersion relation for all wavelengths and frequencies up to the Nyquist limit.
The discrete dispersion relation is free of spurious solutions and approximates the continuous dispersion relation for well-resolved wavelengths and frequencies (kΔ ≪ π, ωΔt ≪ π).
Discrete orthogonality relation with the extrema of (T_{n}(x)) as nodes.
Our discrete recurrence relation solutions for impact into layered media, generalize our recent analytical results concerning impact into homogeneous, single-layer targets, as well as prior discrete recurrence relation solutions for stress wave propagation in Goupillaud-type layered elastic media.
A detailed analysis of the finite element method is presented including an explicit form for the discrete dispersion relation and a complete characterisation of the numerical Bloch waves admitted by the scheme.
Anxiety, Stress, and Coping, 17, 287 316] model of discrete class-related emotions, this study investigated the relation of achievement goals to discrete emotions in the Physical Education (PE) class.
This paper is devoted to decomposition of sequential machines, discrete functions and relations.
The functional decomposition of binary and multi-valued discrete functions and relations has been gaining more and more recognition.
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