Numerical analysis of a Cahn-Hilliard type equation with dynamic boundary conditions

DOI10.1007/s11587-014-0187-7zbMath1320.65142OpenAlexW2044802470MaRDI QIDQ2354551

Haydi Israel, Alain Miranville, Madalina Petcu

Publication date: 20 July 2015

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-014-0187-7

zbMATH Keywords

numerical exampleerror estimatesfinite element methodbackward Euler schemeLojasiewicz inequalityCahn-Hiliard-type equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

Importance of Darcy or Brinkman laws upon resonance in thermal convection ⋮ Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions ⋮ A doubly splitting scheme for the Caginalp system with singular potentials and dynamic boundary conditions ⋮ Numerical approximations and error analysis of the Cahn-Hilliard equation with reaction rate dependent dynamic boundary conditions ⋮ A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition ⋮ The Cahn-Hilliard equation and some of its variants ⋮ Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions

Cites Work

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• Galerkin Finite Element Methods for Parabolic Problems
• Phase separation in confined geometries: Solving the Cahn-Hilliard equation with generic boundary conditions
• Éléments finis: théorie, applications, mise en œuvre.

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