Finite element dispersion analysis for the three‐dimensional second‐order scalar wave equation
- 15 October 1992
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 35 (6) , 1183-1218
- https://doi.org/10.1002/nme.1620350604
Abstract
The dispersive properties of finite element semidiscretizations of the three‐dimensional second‐order scalar wave equation are examined for both plane and spherical waves. This analysis throws light on the performance and limitations of the finite element approximation over the entire spectrum of wavenumbers and provides guidance for optimal mesh discretization as well as mass representation. The 8‐node trilinear element, 20‐node serendipity element, 27‐node triquadratic element and the linear and quadratic spherically symmetric elements are considered.Keywords
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