Optimal convergence analysis of a second order scheme for a thin film model without slope selection

DOI10.1007/s10915-019-00999-yzbMath1428.65041OpenAlexW2955007195MaRDI QIDQ2330679

Wenbin Chen, Wei-Jia Li, Yue Yan, Yanqiu Wang, Yichao Zhang

Publication date: 22 October 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-00999-y

zbMATH Keywords

slope selectionmixed finite elementepitaxial thin film growthoptimal convergence analysis

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Diffusion (76R50) Thin fluid films (76A20) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

Fully decoupled and energy stable BDF schemes for a class of Keller-Segel equations ⋮ Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection ⋮ Optimal rate convergence analysis of a second order scheme for a thin film model with slope selection ⋮ An exponential time differencing Runge-Kutta method ETDRK32 for phase field models ⋮ An energy stable linear BDF2 scheme with variable time-steps for the molecular beam epitaxial model without slope selection ⋮ Errors of an Implicit Variable-Step BDF2 Method for a Molecular Beam Epitaxial Model with Slope Selection ⋮ Fully discrete discontinuous Galerkin numerical scheme with second-order temporal accuracy for the hydrodynamically coupled lipid vesicle model ⋮ Super-Closeness between the Ritz Projection and the Finite Element Solution for some Elliptic Problems ⋮ A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation

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