Numerical verifications for solutions to elliptic equations using residual iterations with a higher order finite element

Nobito Yamamoto, Mitsuhiro T. Nakao

研究成果: Article査読

35 被引用数 (Scopus)

抄録

The verifications of solutions to weakly nonlinear elliptic equations by the method described e.g. by Nakao (1988, 1989), etc. are sometimes hardly accomplished when the right-hand sides of the equations are very large. To overcome such difficulties, a residual iteration technique with approximate solution was introduced by Nakao (1993). In the present paper, we propose an a posteriori method for the residual iteration, and show that a remarkable improvement in efficiency and in accuracy of the verification can be obtained when we use a higher order finite element.

本文言語English
ページ(範囲)271-279
ページ数9
ジャーナルJournal of Computational and Applied Mathematics
60
1-2
DOI
出版ステータスPublished - 1995 6 20
外部発表はい

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

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