Accuracy estimates based on multifield variational principles

Beltrán, Francisco J. and Alarcón Álvarez, Enrique (1992). Accuracy estimates based on multifield variational principles. "European Journal of Mechanics - A/Solids", v. 11 (n. 4); pp. 487-518. ISSN 0997-7538.

Description

Title: Accuracy estimates based on multifield variational principles
Author/s:
  • Beltrán, Francisco J.
  • Alarcón Álvarez, Enrique
Item Type: Article
Título de Revista/Publicación: European Journal of Mechanics - A/Solids
Date: 1992
Volume: 11
Subjects:
Faculty: E.T.S.I. Industriales (UPM)
Department: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Recent developments to fit the so called Free Formulation into a variational framework have suggested the possibility of introducing a new category of error estimates for finite element computations. Such error estimates are based on differences between certain multifield functionals, which give the same value for the true solution. In the present paper the formulation of some estimates of this kind is introduced for elasticity and plate bending problems, and several examples of their performance are discussed. The observed numerical behavior of the new accuracy measures seems to be acceptable from an engineering point of view. However, further numerical experimentation is still needed to establish practical tolerance levels for real problems.

More information

Item ID: 30367
DC Identifier: http://oa.upm.es/30367/
OAI Identifier: oai:oa.upm.es:30367
Official URL: http://www.journals.elsevier.com/european-journal-of-mechanics-a-solids/
Deposited by: Biblioteca ETSI Industriales
Deposited on: 05 Jul 2014 22:18
Last Modified: 22 Apr 2016 00:37
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