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Some properties of a hybrid element method for water waves
Author(s) -
Aranha J. A.,
Mei C. C.,
Yue D. K. P.
Publication year - 1979
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.1620141105
Subject(s) - reciprocity (cultural anthropology) , diffraction , waves and shallow water , element (criminal law) , matrix (chemical analysis) , mathematics , finite element method , mathematical analysis , physics , optics , materials science , psychology , social psychology , political science , law , composite material , thermodynamics
Two properties of hybrid element method for diffraction and radiation of water waves are examined. For long waves in shallow water the method is shown to give a unique solution for all frequencies. Thus, unlike several other known methods, there are no irregular frequencies for which the approximating matrix equation is singluar. For a sea of arbitrary depth, it is shown that all known global identities such as reciprocity and energy theorems are preserved by the discrete solution. Thus, satisfaction of these identities by the numerical solution is only a necessary but by no means sufficient condition for accuracy.