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Effects of spatial discretization on dispersion and spurious oscillations in elastic wave propagation
Author(s) -
Jiang Lei,
Rogers Robert J.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620290607
Subject(s) - spurious relationship , discretization , superposition principle , oscillation (cell signaling) , finite element method , dispersion (optics) , mathematical analysis , polygon mesh , modal , mathematics , wave propagation , classical mechanics , physics , geometry , optics , materials science , statistics , genetics , polymer chemistry , biology , thermodynamics
The dispersive and spurious oscillation properties of one‐dimensional uniform finite element meshes are investigated using the information provided by the frequency response functions of the finite element meshes. The modal superposition method, in which the effects of temporal discretization are eliminated, is employed to integrate the discretized equations of motion. Compared with the commonly used complex variable method, this approach reveals more clearly the physical essence of the dispersion and spurious oscillation phenomena. A series of interesting results is obtained.