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Analysis Of The Finite Element Methods For Klein-Gordon Equation

Posted on:2013-04-19Degree:MasterType:Thesis
Country:ChinaCandidate:Q JiaFull Text:PDF
GTID:2230330371475849Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we mainly study the conforming and nonconforming finite element methods for the Klein-Gordon equation. Firstly, the bi-p-degree finite element over the rectangular meshes is applied to solve this equation, and the superclose property and the superconvergence are derived. Secondly, a kind of Crouzeix-Raviart type anisotropic nonconforming element is applied to the above equation. Based on the special properties of the element and the interpolation technique directly, the error estimates are obtained for semi-discrete and fully-discrete schemes. At last, we discuss the moving grid method for this equation with the above nonconforming finite element, and deduce the corresponding error estimates.
Keywords/Search Tags:Klein-Gordon equation, Superclose and super convergence, Anisotr-opic meshes, Moving grid method, Optimal error estimates
PDF Full Text Request
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