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

26 引用 (Scopus)

抄録

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

Fingerprint

A Priori Error Bounds
Optimal Constants
Numerical Verification
Quadratic Approximation
Best Constants
Nonlinear Elliptic Equations
Piecewise Polynomials
Finite Element Solution
Error Bounds
Polynomials
Projection
Approximation

ASJC Scopus subject areas

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

これを引用

On the Best Constant in the Error Bound for the H1 0-Projection into Piecewise Polynomial Spaces. / Nakao, Mitsuhiro T.; Yamamoto, Nobito; Kimura, Seiji.

:: Journal of Approximation Theory, 巻 93, 番号 3, 1998, p. 491-500.

研究成果: Article

Nakao, Mitsuhiro T. ; Yamamoto, Nobito ; Kimura, Seiji. / On the Best Constant in the Error Bound for the H1 0-Projection into Piecewise Polynomial Spaces. :: Journal of Approximation Theory. 1998 ; 巻 93, 番号 3. pp. 491-500.
@article{4fe26767ff084331b0c6061bdf91615b,
title = "On the Best Constant in the Error Bound for the H1 0-Projection into Piecewise Polynomial Spaces",
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.",
author = "Nakao, {Mitsuhiro T.} and Nobito Yamamoto and Seiji Kimura",
year = "1998",
language = "English",
volume = "93",
pages = "491--500",
journal = "Journal of Approximation Theory",
issn = "0021-9045",
publisher = "Academic Press Inc.",
number = "3",

}

TY - JOUR

T1 - On the Best Constant in the Error Bound for the H1 0-Projection into Piecewise Polynomial Spaces

AU - Nakao, Mitsuhiro T.

AU - Yamamoto, Nobito

AU - Kimura, Seiji

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000900255&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000900255&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000900255

VL - 93

SP - 491

EP - 500

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

SN - 0021-9045

IS - 3

ER -