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Start Over Author "Fengnan Liu" Journal boundary value problems
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1. Finite element analysis of a nonlinear parabolic equation modeling epitaxial thin-film growth

Author

Xiaopeng Zhao, Bo Liu, and Fengnan Liu

Subjects
Partial differential equation, Algebra and Number Theory, Mathematical analysis, Spectral element method, Biharmonic equation, hp-FEM, Finite volume method for one-dimensional steady state diffusion, Mixed finite element method, Finite element method, Analysis, Extended finite element method, Mathematics
Abstract

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 L 2 norm by means of a finite element biharmonic projection approximation.

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