A non‐linear numerical method for accurate determination of limit and bifurcation points

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Abstract

This paper presents a numerical procedure for accurate determination of a limit or a bifurcation point. The method minimizes simultaneously the first and the second variations of an admissible functional or iterates to satisfy the equilibrium and the semi definite condition for the tangent stiffness matrix. It can be readily incorporated into a computer program for non‐linear finite element analysis to improve its accuracy in the location of critical points.
Original languageEnglish
Pages (from-to)2779-2790
Number of pages12
JournalInternational Journal for Numerical Methods in Engineering
Volume36
Issue number16
DOIs
Publication statusPublished - 1 Jan 1993

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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