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Interpolation theory of anisotropic finite elements and applications
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.

关 键 词:interpolation  theory  anisotropic  finite  elements  Newton’s  formula  divided  difference

Interpolation theory of anisotropic finite elements and applications
Authors:ShaoChun Chen  LiuChao Xiao
Institution:(1) Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China
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.
Keywords:interpolation theory  anisotropic finite elements  Newton’  s formula  divided difference
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