High order approximations in space and time of a sixth order Cahn-Hilliard equation

DOI10.1515/rnam-2015-0029zbMath1334.65153OpenAlexW2566374009MaRDI QIDQ897217

Christopher Linsenmann, O.M.Boyarkin, Ronald H. W. Hoppe

Publication date: 17 December 2015

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

Full work available at URL: https://doi.org/10.1515/rnam-2015-0029

zbMATH Keywords

diagonally implicit Runge-Kutta methodsautomatic step-size selection in timeinterior penalty discontinuous Galerkin methodssixth order Cahn-Hilliard equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

Nonlocal operator method for the Cahn-Hilliard phase field model ⋮ C $$^0$$ -Interior Penalty Discontinuous Galerkin Approximation of a Sixth-Order Cahn-Hilliard Equation Modeling Microemulsification Processes ⋮ A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation ⋮ Global regular solvability of a nonuniformly nonlinear sixth order Cahn–Hilliard system

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