2003 | OriginalPaper | Buchkapitel
Dispersive Properties of High Order Finite Elements
verfasst von : Mark Ainsworth
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We describe recent work on the dispersive properties of finite element methods for wave propagation. In particular, an explicit closed form for the discrete dispersion relation for elements of arbitrary order is given, along with an analysis of the behaviour of the error in the discrete dispersion relation at high wave number as the the order of the method is increased.