Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains

Nobito Yamamoto, Mitsuhiro T. Nakao

研究成果: Article査読

27 被引用数 (Scopus)

抄録

In this paper, methods for numerical verifications of solutions for elliptic equations in nonconvex polygonal domains are studied. In order to verify solutions using computer, it is necessary to determine some constants which appear in a priori error estimations. We propose some methods for determination of these constants. In numerical examples, calculating these constants for an L-shaped domain, we verify the solution of a nonlinear elliptic equation.

本文言語English
ページ(範囲)503-521
ページ数19
ジャーナルNumerische Mathematik
65
1
DOI
出版ステータスPublished - 1993 12
外部発表はい

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics
  • Mathematics(all)

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