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

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

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 - Dec 1 1998

All Science Journal Classification (ASJC) codes

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.",

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AU - Nakao, Mitsuhiro T.

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

Abstract

All Science Journal Classification (ASJC) codes

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