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A spectral approximation scheme for the Stokes equations

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Title: A spectral approximation scheme for the Stokes equations
Authors: Jun, Se-Ran1 srjun@lbl.gov, Kang, Sungkwon2 sgkang@chosun.ac.kr, Kwon, YongHoon3 ykwon@postech.ac.kr
Source: Mathematical & Computer Modelling. Sep2004, Vol. 40 Issue 5/6, p535-552. 18p.
Subjects: Stokes equations, Partial differential equations, Stochastic convergence, Algebra
Abstract: Abstract: The two-dimensional steady state Stokes equations are considered. By introducingthe vorticity to the stream function form of the Stokes equations, we have a coupled system of two elliptic equations. An efficient approximation scheme for solving the equations is introduced. The method consists of finding the trace of the normal derivative of the vorticity by means of the trace and the inverse Green operators. This method is noniterative in the sense that the vorticity is obtained directly from the trace of its normal derivative. Convergence of our scheme is proved and numerical experiments are presented. [Copyright &y& Elsevier]
Copyright of Mathematical & Computer Modelling is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 17343607
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Label: Title
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  Data: A spectral approximation scheme for the Stokes equations
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  Data: <searchLink fieldCode="AR" term="%22Jun%2C+Se-Ran%22">Jun, Se-Ran</searchLink><relatesTo>1</relatesTo><i> srjun@lbl.gov</i><br /><searchLink fieldCode="AR" term="%22Kang%2C+Sungkwon%22">Kang, Sungkwon</searchLink><relatesTo>2</relatesTo><i> sgkang@chosun.ac.kr</i><br /><searchLink fieldCode="AR" term="%22Kwon%2C+YongHoon%22">Kwon, YongHoon</searchLink><relatesTo>3</relatesTo><i> ykwon@postech.ac.kr</i>
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  Data: <searchLink fieldCode="JN" term="%22Mathematical+%26+Computer+Modelling%22">Mathematical & Computer Modelling</searchLink>. Sep2004, Vol. 40 Issue 5/6, p535-552. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Stokes+equations%22">Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+convergence%22">Stochastic convergence</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Abstract: The two-dimensional steady state Stokes equations are considered. By introducingthe vorticity to the stream function form of the Stokes equations, we have a coupled system of two elliptic equations. An efficient approximation scheme for solving the equations is introduced. The method consists of finding the trace of the normal derivative of the vorticity by means of the trace and the inverse Green operators. This method is noniterative in the sense that the vorticity is obtained directly from the trace of its normal derivative. Convergence of our scheme is proved and numerical experiments are presented. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematical & Computer Modelling is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.mcm.2003.10.049
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 535
    Subjects:
      – SubjectFull: Stokes equations
        Type: general
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Stochastic convergence
        Type: general
      – SubjectFull: Algebra
        Type: general
    Titles:
      – TitleFull: A spectral approximation scheme for the Stokes equations
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          Name:
            NameFull: Jun, Se-Ran
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            NameFull: Kang, Sungkwon
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            NameFull: Kwon, YongHoon
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          Dates:
            – D: 01
              M: 09
              Text: Sep2004
              Type: published
              Y: 2004
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              Value: 08957177
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              Value: 40
            – Type: issue
              Value: 5/6
          Titles:
            – TitleFull: Mathematical & Computer Modelling
              Type: main
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