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A-Posteriori Error Estimates for Uniform p-Version Finite Element Methods in Square

  • Jianwei Zhou (a1), Danping Yang (a2) and Yujie Liu (a3)
Abstract
Abstract

In this work, the a-posteriori error indicator with an explicit formula for p-version finite element methods in square is investigated, and its reliable and efficient properties are deduced. Especially, this a-posteriori error indicator is determined by the right hand itemof themodel. We reformulate this a-posteriori error indicator with finite coefficients, which can be easily calculated during applications.

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Corresponding author
*Corresponding author. Email:jwzhou@yahoo.com (J. Zhou), dpyang@math.ecnu.edu.cn (D. Yang), liuyujie5@mail.sysu.edu.cn (Y. Liu)
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[3] S. C.Brenner and L. R.Scott , The Mathematical Theory of Finite Element Methods, Springer Science & Business Media, 2008.

[9] P. G.Ciarlet , The Finite Element Methods for Elliptic Problems, SIAM, 2002.

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Advances in Applied Mathematics and Mechanics
  • ISSN: 2070-0733
  • EISSN: 2075-1354
  • URL: /core/journals/advances-in-applied-mathematics-and-mechanics
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