Finite element analysis of a nonlinear parabolic equation modeling epitaxial thin-film growth

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作者
Fengnan Liu
Xiaopeng Zhao
Bo Liu
机构
[1] Jilin University,College of Mathematics
[2] Jiangnan University,School of Science
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关键词
Finite Element Approximation; Nonlinear Parabolic Equation; Unique Global Solution; Norm Error Estimate; Discrete Norm;
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摘要
In this paper, we consider a nonlinear model describing crystal surface growth. For the equation, the finite element method is presented and a nice error estimate is derived in the L2 norm by means of a finite element biharmonic projection approximation.
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