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A quadratic triangle of the Hermite type for second order elliptic problems
Author(s) -
Ruas V.,
Carneiro de Araujo J.H.
Publication year - 2009
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.200800103
Subject(s) - hermite polynomials , mathematics , type (biology) , finite element method , element (criminal law) , order (exchange) , bounded function , class (philosophy) , mathematical analysis , quadratic equation , pure mathematics , geometry , computer science , structural engineering , law , engineering , ecology , finance , artificial intelligence , political science , economics , biology
A triangular finite element method of the Hermite type for solving second order elliptic equations in two‐dimensional bounded domains is introduced. It can be viewed as a modification of the Morley triangle [8], but contrary to this element it provides converging approximations for this class of problems. The new element is particularly useful in situations where flux or normal stress continuity across interelement boundaries is required.