Numerical verification of solutions for variational inequalities

Cheon Seoung Ryoo, Mitsuhiro T. Nakao

研究成果: Article査読

19 被引用数 (Scopus)

抄録

In this paper, we consider a numerical technique that enables us to verify the existence of solutions for variational inequalities. This technique is based on the infinite dimensional fixed point theorems and explicit error estimates for finite element approximations. Using the finite element approximations and explicit a priori error estimates for obstacle problems, we present an effective verification procedure that through numerical computation generates a set which includes the exact solution. Further, a numerical example for an obstacle problem is presented.

本文言語English
ページ(範囲)305-320
ページ数16
ジャーナルNumerische Mathematik
81
2
出版ステータスPublished - 1998 12
外部発表はい

ASJC Scopus subject areas

  • 計算数学
  • 応用数学

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