FINITE ELEMENT METHOD FOR A NONLINEAR DIFFERENTIAL EQUATION DESCRIBING CRYSTAL SURFACE GROWTH

DOI10.3846/13926292.2014.909372zbMath1488.65490OpenAlexW2143511733WikidataQ115219543 ScholiaQ115219543MaRDI QIDQ5011174

Fengnan Liu, Bo Liu, Xiaopeng Zhao

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2014.909372

zbMATH Keywords

error estimatesfinite element methodnonlinear differential equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient

Cites Work

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• On the longtime behavior of solutions to a model for epitaxial growth
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• Finite element approximation of a fourth order nonlinear degenerate parabolic equation
• Finite element scheme for the viscous Cahn-Hilliard equation with a nonconstant gradient energy coefficient
• Numerical Analysis of a Continuum Model of Phase Transition
• A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation

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