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.