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

DOI10.1186/1687-2770-2014-46zbMath1305.65207OpenAlexW2153135161WikidataQ59324173 ScholiaQ59324173MaRDI QIDQ468496

Xiaopeng Zhao, Bo Liu, Fengnan Liu

Publication date: 7 November 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-46

zbMATH Keywords

nonlinear parabolic equationfinite element methoderror estimatecrystal surface growth

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Statistical mechanics of crystals (82D25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

A B-spline finite element method for solving a class of nonlinear parabolic equations modeling epitaxial thin-film growth with variable coefficient

Cites Work

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• Upper bound on the coarsening rate for an epitaxial growth model
• The existence of global attractor for a fourth-order parabolic equation
• Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
• A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow

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