Premium
Theory and examples of partial approximation in the finite element method
Author(s) -
Kikuchi Fumio
Publication year - 1976
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.1620100109
Subject(s) - finite element method , mixed finite element method , mathematics , displacement (psychology) , simple (philosophy) , extended finite element method , mathematical analysis , bending , finite element limit analysis , element (criminal law) , poisson's equation , partial derivative , structural engineering , engineering , psychology , philosophy , epistemology , political science , law , psychotherapist
This paper presents theory and examples of partial approximation as a modification of the displacement method in the finite element analysis. This method requires different shape functions for different terms in the potential energy expression to curtail the processes in the standard displacement method. Explanation of the theory is given by use of a simple example for Poisson's equation. It can also be effectively utilized to give mathematical foundation to some finite element models based on physical reasonings, such as Melosh's rectangular element for plate bending and beam element approximation of circular arches.