A posteriori error estimates for viscous flow problems with rotation

E. Gorshkova; Alex Mahalov; P. Neittaanmäki; S. Repin

doi:10.1007/s10958-007-0085-6

A posteriori error estimates for viscous flow problems with rotation

E. Gorshkova, Alex Mahalov, P. Neittaanmäki, S. Repin

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

3 Scopus citations

Abstract

A new functional type a posteriori error estimates for the Stokes problem with rotating term are presented. The estimates give guaranteed upper bounds for the energy norm of the error and provide reliable error indication. Computational properties of the estimates are demonstrated by a number of numerical examples. Bibliography: 37 titles.

Original language	English (US)
Pages (from-to)	1749-1762
Number of pages	14
Journal	Journal of Mathematical Sciences
Volume	142
Issue number	1
DOIs	https://doi.org/10.1007/s10958-007-0085-6
State	Published - Apr 2007

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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title = "A posteriori error estimates for viscous flow problems with rotation",

abstract = "A new functional type a posteriori error estimates for the Stokes problem with rotating term are presented. The estimates give guaranteed upper bounds for the energy norm of the error and provide reliable error indication. Computational properties of the estimates are demonstrated by a number of numerical examples. Bibliography: 37 titles.",

author = "E. Gorshkova and Alex Mahalov and P. Neittaanm{\"a}ki and S. Repin",

note = "Funding Information: The first and fourth authors were supported by the Russian Foundation for Basic Research (grant no. 06-0100641). The second and fourth authors were supported by CRDF (grant no. RU-M1-2596-ST-04).",

year = "2007",

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AU - Mahalov, Alex

AU - Neittaanmäki, P.

AU - Repin, S.

N1 - Funding Information: The first and fourth authors were supported by the Russian Foundation for Basic Research (grant no. 06-0100641). The second and fourth authors were supported by CRDF (grant no. RU-M1-2596-ST-04).

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Y1 - 2007/4

N2 - A new functional type a posteriori error estimates for the Stokes problem with rotating term are presented. The estimates give guaranteed upper bounds for the energy norm of the error and provide reliable error indication. Computational properties of the estimates are demonstrated by a number of numerical examples. Bibliography: 37 titles.

AB - A new functional type a posteriori error estimates for the Stokes problem with rotating term are presented. The estimates give guaranteed upper bounds for the energy norm of the error and provide reliable error indication. Computational properties of the estimates are demonstrated by a number of numerical examples. Bibliography: 37 titles.

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A posteriori error estimates for viscous flow problems with rotation

Abstract

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