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

Mitsuhiro T. Nakao, Nobito Yamamoto, Seiji Kimura

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)491-500
Number of pages10
JournalJournal of Approximation Theory
Volume93
Issue number3
Publication statusPublished - 1998
Externally publishedYes

ASJC Scopus subject areas

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

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