Error Estimation for The Convective Cahn - Hilliard Equation

Gorkem Simsek (1) , Kris G. van Der Zee (1) , E. Harald van Brummelen (2)

1 TU/e - Eindhoven University of Technology [Eindhoven]
2 Multiscale Engineering Fluid Dynamics

In this contribution we consider the a-posteriori error analysis of the convective Cahn-Hilliard [4] model for varying Peclet number and interface-thickness (diffusivity) parameter. The adaptive discretization strategy uses ' mixed finite elements, a stable time-stepping algorithm and residual-based a-posteriori error estimation [2, 5].

Mots clés: mixed finite element method; posteriori error analysis; error estimation and mesh/modeling adaptation

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Gorkem Simsek, Kris G. van Der Zee, E. Harald van Brummelen. Error Estimation for The Convective Cahn - Hilliard Equation. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855916⟩