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Finite Elements Based on Differential Equations
Author(s) -
Poceski A.
Publication year - 1996
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.19960760503
Subject(s) - quadrilateral , mathematics , finite element method , constant (computer programming) , mathematical analysis , differential equation , matrix (chemical analysis) , variable (mathematics) , simple (philosophy) , plane (geometry) , constant coefficients , block matrix , geometry , physics , computer science , structural engineering , materials science , engineering , eigenvalues and eigenvectors , epistemology , quantum mechanics , programming language , composite material , philosophy
Abstract Simple but efficient quadrilateral and hexahedronal elements for the analysis of plane stress, and three‐dimensional plate bending and shell problems are derived explicitly. The high order derivatives of the differential equations are approximated by a product of lower order derivatives. The integration of the equations yields the element matrix. It is composed of constant submatrices, multiplied by variable coefficients. The numerical results indicate very good accuracy of the applied method.