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

@inproceedings{Boyarkin2015HighOA, title={High order approximations in space and time of a sixth order Cahn–Hilliard equation}, author={O. M. Boyarkin and Ronald H. W. Hoppe and Christopher Linsenmann}, year={2015} }

- Published 2015
DOI:10.1515/rnam-2015-0029

We consider an initial-boundary value problem for a sixth order Cahn-Hilliard equation describing the formation of microemulsions. Based on a Ciarlet-Raviart type mixed formulation as a system consisting of a second order and a fourth order equation, the spatial discretization is done by a C0 Interior Penalty Discontinuous Galerkin (C0IPDG) approximation with respect to a geometrically conforming simplicial triangulation of the computational domain. The DG trial spaces are constructed by C0… CONTINUE READING

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