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Anisotropic Analysis Of Arbitrary Order Lagrange Finite Elements In Two And Three Dimention Spaces

Posted on:2007-03-26Degree:MasterType:Thesis
Country:ChinaCandidate:Y J ZhengFull Text:PDF
GTID:2120360185471611Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we focus on the high order Lagrange finite element in two- and three-dimension spaces. We use an essential theorem about anisotropic interpotation to check the anisotropy of the elements, which is easer to be operated or applied than Apel's. Quadrilateral, trianglar, hexaheral, tetrahedral elements are considered respectively.And anisotropic error estimates of the interpolation error in the energy norm and the L~2-norm are given.
Keywords/Search Tags:anisotropic element, arbitrary order, Lagrange elemnet, interpolation error
PDF Full Text Request
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