Interpolation theory of anisotropic finite elements and applications |
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摘 要: | Interpolation theory is the foundation of finite element methods.In this paper,after reviewing some existed interpolation theorems of anisotropic finite element methods,we present a new way to analyse the interpolation error of anisotropic elements based on Newton's formula of polynomial interpolation as well as its applications.
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关 键 词: | interpolation theory anisotropic finite elements Newton’s formula divided difference |
Interpolation theory of anisotropic finite elements and applications |
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Authors: | ShaoChun Chen LiuChao Xiao |
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Institution: | (1) Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China |
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Abstract: | Interpolation theory is the foundation of finite element methods.In this paper,after reviewing some existed interpolation theorems of anisotropic finite element methods,we present a new way to analyse the interpolation error of anisotropic elements based on Newton's formula of polynomial interpolation as well as its applications. |
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Keywords: | interpolation theory anisotropic finite elements Newton’ s formula divided difference |
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