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Primal finite element solution of second order problems in three‐dimension space with normal stress/flux continuity
Author(s) -
Ruas V.,
Carneiro de Araujo J.H.
Publication year - 2007
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200510330
Subject(s) - mathematics , finite element method , mathematical analysis , space (punctuation) , dimension (graph theory) , element (criminal law) , extended finite element method , extension (predicate logic) , mixed finite element method , bounded function , pure mathematics , physics , computer science , political science , law , thermodynamics , programming language , operating system
A tetrahedral finite element method of the Hermite type for solving second order elliptic equations in three‐dimension bounded domains is introduced. It is a sort of extension of the Morley triangle [3] but contrary to this element it provides converging approximations in this case. The new element is particularly useful in situations where flux continuity across interelement boundaries is required.