Numerical verification of solutions for elasto-plastic torsion problems

M. T. Nakao, S. H. Lee, Cheon Seoung Ryoo

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper, we consider a numerical technique which enables us to verify the existence of solutions for the elasto-plastic torsion problems governed by the variational inequality. Based upon the finite element approximations and the explicit a priori error estimates for a simple problem, we present an effective verification procedure that through numerical computation generates a set which includes the exact solution. This paper is an extension of the previous paper [1] in which we mainly dealt with the obstacle problems, but some special techniques are utilized to verify the solutions for nondifferentiable nonlinear equations concerned with the present problem. A numerical example is illustrated.

Original languageEnglish
Pages (from-to)195-204
Number of pages10
JournalComputers and Mathematics with Applications
Volume39
Issue number3-4
DOIs
Publication statusPublished - 2000
Externally publishedYes

Fingerprint

Numerical Verification
Elasto-plastic
Nonlinear equations
Torsional stress
Torsion
Plastics
Verify
A Priori Error Estimates
Obstacle Problem
Finite Element Approximation
Numerical Techniques
Numerical Computation
Variational Inequalities
Existence of Solutions
Nonlinear Equations
Exact Solution
Numerical Examples

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Cite this

Numerical verification of solutions for elasto-plastic torsion problems. / Nakao, M. T.; Lee, S. H.; Ryoo, Cheon Seoung.

In: Computers and Mathematics with Applications, Vol. 39, No. 3-4, 2000, p. 195-204.

Research output: Contribution to journalArticle

Nakao, M. T. ; Lee, S. H. ; Ryoo, Cheon Seoung. / Numerical verification of solutions for elasto-plastic torsion problems. In: Computers and Mathematics with Applications. 2000 ; Vol. 39, No. 3-4. pp. 195-204.
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