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Boundary type finite element method for surface wave motion based on trigonometric function interpolation
Author(s) -
Kawahara Mutsuto,
Kashiyama Kazuo
Publication year - 1985
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.1620211009
Subject(s) - helmholtz equation , mathematical analysis , mathematics , interpolation (computer graphics) , finite element method , method of fundamental solutions , boundary knot method , trigonometric functions , boundary value problem , boundary element method , wave equation , motion (physics) , classical mechanics , geometry , physics , thermodynamics
There are many physical phenomena which can be handled by the Helmholtz equation. The equation explains certain phenomena of wave propagation. This paper presents a new finite element method to analyse surface wave motion. The characteristic point of this method is that the interpolation equation is chosen to satisfy the governing Helmholtz equation using trigonometric functions. This follows that the variational functional to be minimized can be formulated such that the integration is limited to the boundary of the element. The numerical solutions obtained are compared with analytical and experimental solutions. From these comparative studies, it is concluded that the present method provides a useful tool for the analysis of surface wave motion.