Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations

Mitsuhiro T. Nakao; Nobito Yamamoto; Yoshitaka Watanabe

Constructive L² Error Estimates for Finite Element Solutions of the Stokes Equations

Mitsuhiro T. Nakao^*, Nobito Yamamoto, Yoshitaka Watanabe

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Constructive L² error estimates for finite element solutions of the Stokes equations are described. We show that the L² error bounds for the velocity can be obtained in a posteriori and explicit a priori sense. Some numerical examples which confirm us the expected rates of convergence are presented.

Original language	English
Pages (from-to)	115-124
Number of pages	10
Journal	Reliable Computing
Volume	23
Issue number	5
Publication status	Published - 1998
Externally published	Yes

ASJC Scopus subject areas

Software
Computational Mathematics
Applied Mathematics

Cite this

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title = "Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations",

abstract = "Constructive L2 error estimates for finite element solutions of the Stokes equations are described. We show that the L2 error bounds for the velocity can be obtained in a posteriori and explicit a priori sense. Some numerical examples which confirm us the expected rates of convergence are presented.",

author = "Nakao, {Mitsuhiro T.} and Nobito Yamamoto and Yoshitaka Watanabe",

year = "1998",

language = "English",

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issn = "1385-3139",

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T1 - Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations

AU - Nakao, Mitsuhiro T.

AU - Yamamoto, Nobito

AU - Watanabe, Yoshitaka

PY - 1998

Y1 - 1998

N2 - Constructive L2 error estimates for finite element solutions of the Stokes equations are described. We show that the L2 error bounds for the velocity can be obtained in a posteriori and explicit a priori sense. Some numerical examples which confirm us the expected rates of convergence are presented.

AB - Constructive L2 error estimates for finite element solutions of the Stokes equations are described. We show that the L2 error bounds for the velocity can be obtained in a posteriori and explicit a priori sense. Some numerical examples which confirm us the expected rates of convergence are presented.

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M3 - Article

AN - SCOPUS:0347686499

SN - 1385-3139

VL - 23

SP - 115

EP - 124

JO - Reliable Computing

JF - Reliable Computing

IS - 5

ER -

Constructive L² Error Estimates for Finite Element Solutions of the Stokes Equations

Abstract

ASJC Scopus subject areas

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