Two-dimensional mesh optimization in the finite element method

Martínez Marín, Rubén and Samartín, Avelino (1991). Two-dimensional mesh optimization in the finite element method. "Computers & Structures", v. 40 (n. 5); pp. 1169-1175. ISSN 0045-7949. https://doi.org/10.1016/0045-7949(91)90387-2.

Description

Title: Two-dimensional mesh optimization in the finite element method
Author/s:
  • Martínez Marín, Rubén
  • Samartín, Avelino
Item Type: Article
Título de Revista/Publicación: Computers & Structures
Date: 1991
ISSN: 0045-7949
Volume: 40
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The solution to the problem of finding the optimum mesh design in the finite element method with the restriction of a given number of degrees of freedom, is an interesting problem, particularly in the applications method. At present, the usual procedures introduce new degrees of freedom (remeshing) in a given mesh in order to obtain a more adequate one, from the point of view of the calculation results (errors uniformity). However, from the solution of the optimum mesh problem with a specific number of degrees of freedom some useful recommendations and criteria for the mesh construction may be drawn. For 1-D problems, namely for the simple truss and beam elements, analytical solutions have been found and they are given in this paper. For the more complex 2-D problems (plane stress and plane strain) numerical methods to obtain the optimum mesh, based on optimization procedures have to be used. The objective function, used in the minimization process, has been the total potential energy. Some examples are presented. Finally some conclusions and hints about the possible new developments of these techniques are also given.

More information

Item ID: 32882
DC Identifier: http://oa.upm.es/32882/
OAI Identifier: oai:oa.upm.es:32882
DOI: 10.1016/0045-7949(91)90387-2
Official URL: http://www.sciencedirect.com/science/article/pii/0045794991903872
Deposited by: Biblioteca ETSI Caminos
Deposited on: 26 Nov 2014 07:33
Last Modified: 14 Apr 2015 15:41
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