Numerical verification of solutions for elasto-plastic torsion problems

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

研究成果: Article

7 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)195-204
ページ数10
ジャーナルComputers and Mathematics with Applications
39
発行部数3-4
DOI
出版物ステータスPublished - 2000
外部発表Yes

ASJC Scopus subject areas

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

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