Upcoming Events

A Quadratic C0 Interior Penalty Method for Cahn-Hilliard Equations

November 7, 2012 3:00PM to 4:00PM
Presenter 
Shiyuan Gu (MSD)
Location 
Building 240, Room 1404-1405
Type 
Seminar
Series 
Abstract:
After an implicit time discretization, Cahn-Hilliard Equations become linear fourth order elliptic boundary value problems with essential and natural boundary conditions. The solutions of such problems has weaker regularity than the solutions of the problems with only Dirichlet boundary conditions. The numerical analysis of such problems is, therefore, more subtle. In this talk we will present a quadratic C0 interior penalty method for linear fourth order elliptic boundary value problems with the boundary conditions of Cahn-Hilliard type. C0 interior penalty methods are discontinuous Galerkin methods that use Lagrange elements for higher order equations. Convergence analysis, adaptive methods and multigrid methods will be discussed. Numerical results for phase separation and image processing will be presented.