Numerical Verification of Solutions for Nonlinear Elliptic Problems Using anLResidual Method

Mitsuhiro T. Nakao, Nobito Yamamoto

研究成果: Article査読

23 被引用数 (Scopus)

抄録

We consider a numerical enclosure method with guaranteedLerror bounds for the solution of nonlinear elliptic problems of second order. By using an a posteriori error estimate for the approximate solution of the problem with a higher orderC0-finite element, it is shown that we can obtain the guaranteedLerror bounds with high accuracy. A particular emphasis is that our method needs no assumption of the existence of the solution of the original nonlinear equation, but it follows as the result of computation itself. A numerical example that confirms the effectiveness of the method is presented.

本文言語English
ページ(範囲)246-262
ページ数17
ジャーナルJournal of Mathematical Analysis and Applications
217
1
DOI
出版ステータスPublished - 1998 1 1
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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