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Boundary‐type finite element method for wave propagation analysis
Author(s) -
Kawahara Mutsuto,
Sakurai Hideyuki,
Kashiyama Kazuo
Publication year - 1988
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650080505
Subject(s) - quadrilateral , finite element method , node (physics) , mathematics , interpolation (computer graphics) , boundary (topology) , mathematical analysis , trigonometry , type (biology) , geometry , function (biology) , trigonometric functions , structural engineering , geology , physics , engineering , classical mechanics , paleontology , evolutionary biology , biology , motion (physics)
The boundary‐type finite element method has been investigated and applied to the Helmholz and mild‐slope equations. Four types of interpolation function are examined based on trigonometric function series. Three‐node triangular, four‐node quadrilateral, six‐node triangular and eight‐node quadrilateral elements are tested; these are all non‐conforming elements. Three types of numerical example show that the three‐node triangular and four‐node quadrilateral elements are useful for practical analysis.
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