Dr. Shiyuan Gu, Argonne National Lab

$C^0$ Interior Penalty Methods for Cahn-Hilliard Equations

Cahn-Hilliard equations are  nonlinear fourth order partial differential equations describing the phase separation phenomena.  In this talk, we will present $C^0$ interior penalty methods for Cahn-Hilliard equations.  $C^0$ interior penalty methods are discontinuous Galerkin finite element methods that use Lagrange finite elements for higher order equations.  Convergence analysis, adaptive methods and multigrid methods will be discussed.