Error estimates for a finite element discretization of the Cahn-Hilliard-Gurtin equations

zbMath1227.65080MaRDI QIDQ543984

Sami Injrou, Morgan Pierre

Publication date: 14 June 2011

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

existenceperiodic boundary conditionsnumerical experimentenergy estimatecross-diffusionCahn-Hilliard-Gurtin equationsfirst order BDF-methodlinear finite elementssemi-discrete and fully-discrete method, convergence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

Error analysis of a finite element approximation of a degenerate Cahn-Hilliard equation ⋮ The Cahn-Hilliard equation with logarithmic potentials ⋮ A numerical analysis of the Cahn-Hilliard equation with non-permeable walls ⋮ Global well-posedness of solutions to the Cauchy problem of convective Cahn-Hilliard equation. Cauchy problem of convective Cahn-Hilliard equation ⋮ Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation ⋮ Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation ⋮ The Cahn-Hilliard equation and some of its variants

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