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OVERHAUSER TRIANGULAR ELEMENTS FOR THREE‐DIMENSIONAL POTENTIAL PROBLEMS USING BOUNDARY ELEMENT METHODS
Author(s) -
DURODOLA J. F.,
FENNER R. T.
Publication year - 1996
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/(sici)1097-0207(19961230)39:24<4183::aid-nme38>3.0.co;2-9
Subject(s) - quadrilateral , interpolation (computer graphics) , mathematics , boundary (topology) , element (criminal law) , nuclear overhauser effect , parametric statistics , boundary element method , mathematical analysis , representation (politics) , finite element method , geometry , algorithm , computer science , structural engineering , engineering , physics , artificial intelligence , nuclear magnetic resonance , law , political science , motion (physics) , statistics , politics , nuclear magnetic resonance spectroscopy
Interpolation to boundary data and one‐dimensional Overhauser parabola blending methods are used to derive Overhauser triangular elements. The elements are C 1 ‐continuous at inter‐element nodes and no functional derivatives are required as nodal parameters. These efficient parametric representation elements are used to solve three‐dimensional potential problems using the Boundary Element Method (BEM). Results obtained are generally as accurate as those obtained using Overhauser quadrilateral elements.