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Superconvergence analysis of Wilson element on anisotropic meshes.

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Title: Superconvergence analysis of Wilson element on anisotropic meshes.
Authors: Dong-yang Shi1 shi•dy@zzu.edu.cn, Hui Liang2
Source: Applied Mathematics & Mechanics. Jan2007, Vol. 28 Issue 1, p119-125. 7p. 9 Charts, 2 Graphs.
Subject Terms: *COMPLEX variables, *BOUNDARY value problems, *NUMERICAL analysis, *DIFFERENTIAL equations, *STOCHASTIC convergence
Abstract: The Wilson finite element method is considered to solve a class of two-dimensional second order elliptic boundary value problems. By using of the particular structure of the element and some new techniques, we obtain the superclose and global superconvergence on anisotropic meshes. Numerical example is also given to confirm our theoretical analysis. [ABSTRACT FROM AUTHOR]
Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. 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.)
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  Data: Superconvergence analysis of Wilson element on anisotropic meshes.
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  Data: <searchLink fieldCode="AR" term="%22Dong-yang+Shi%22">Dong-yang Shi</searchLink><relatesTo>1</relatesTo><i> shi•dy@zzu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Hui+Liang%22">Hui Liang</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Mechanics%22">Applied Mathematics & Mechanics</searchLink>. Jan2007, Vol. 28 Issue 1, p119-125. 7p. 9 Charts, 2 Graphs.
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  Data: *<searchLink fieldCode="DE" term="%22COMPLEX+variables%22">COMPLEX variables</searchLink><br />*<searchLink fieldCode="DE" term="%22BOUNDARY+value+problems%22">BOUNDARY value problems</searchLink><br />*<searchLink fieldCode="DE" term="%22NUMERICAL+analysis%22">NUMERICAL analysis</searchLink><br />*<searchLink fieldCode="DE" term="%22DIFFERENTIAL+equations%22">DIFFERENTIAL equations</searchLink><br />*<searchLink fieldCode="DE" term="%22STOCHASTIC+convergence%22">STOCHASTIC convergence</searchLink>
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  Data: The Wilson finite element method is considered to solve a class of two-dimensional second order elliptic boundary value problems. By using of the particular structure of the element and some new techniques, we obtain the superclose and global superconvergence on anisotropic meshes. Numerical example is also given to confirm our theoretical analysis. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. 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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        Value: 10.1007/s10483-007-0114-1
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      – Code: eng
        Text: English
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        PageCount: 7
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        Type: general
      – SubjectFull: BOUNDARY value problems
        Type: general
      – SubjectFull: NUMERICAL analysis
        Type: general
      – SubjectFull: DIFFERENTIAL equations
        Type: general
      – SubjectFull: STOCHASTIC convergence
        Type: general
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      – TitleFull: Superconvergence analysis of Wilson element on anisotropic meshes.
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            NameFull: Dong-yang Shi
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              Text: Jan2007
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              Y: 2007
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