On the Best Constant in the Error Bound for the H1 0-Projection into Piecewise Polynomial Spaces

Mitsuhiro T. Nakao, Nobito Yamamoto, Seiji Kimura

研究成果: Article

28 引用 (Scopus)

抜粋

Explicit a priori error bounds for the approximation by the H1 0-projection into piecewise polynomial spaces are given. In particular, for the quadratic approximation, the optimal constant is derived, and a nearly optimal value for the cubic is obtained. These constants play an important role in the numerical verification method of finite element solutions for nonlinear elliptic equations.

元の言語English
ページ(範囲)491-500
ページ数10
ジャーナルJournal of Approximation Theory
93
発行部数3
出版物ステータスPublished - 1998
外部発表Yes

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Mathematics(all)
  • Applied Mathematics

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