A simple strain energy based finite element mesh refinement scheme
DOI: 10.1016/0045-7949(88)90025-9
Title: A simple strain energy based finite element mesh refinement scheme
Journal Title: Computers & Structures
Volume: 28
Issue: 4
Publication Date: 1988
Start Page: 523
End Page: 533
Published online: online 12 February 2003
ISSN: 0045-7949
Author: Hector E. Febres-Cedillo, M. Asghar Bhatti
Affiliations:
  • Department of Civil and Environmental Engineering, University of Iowa, Iowa City, IA 52242, U.S.A.
  • Abstract: g>simple technique for finite element mesh refinement is presented. The technique is based on maximizing strain energy in the elements. The implementation of the technique in a general purpose program is facilitated by the fact that all calculations can be made at the element level. An element-by-element iterative algorithm combining Jacobi and Gauss-Seidel iteration is presented for the solution of equilibrium equations. The algorithm does not require formulation of the global stiffness matrix. Several numerical examples from two-dimensional elasticity are presented to show the effectiveness of the algorithms developed.
    Received: 20 April 1987

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