Numerical dispersion relations in finite element time-domain methods are analytically derived for different mesh structures and basis functions. It is shown that, for certain combinations of mesh structure and basis functions, there is a particular choice of the discrete time step which minimizes the dispersion error. Some numerical results are presented to validate the theoretical analysis.
On the minimization of numerical dispersion in time-domain finite element method
Monorchio A.
2007-01-01
Abstract
Numerical dispersion relations in finite element time-domain methods are analytically derived for different mesh structures and basis functions. It is shown that, for certain combinations of mesh structure and basis functions, there is a particular choice of the discrete time step which minimizes the dispersion error. Some numerical results are presented to validate the theoretical analysis.File in questo prodotto:
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