Energy Stable Model Order Reduction for the Allen-Cahn Equation
Energy Stable Model Order Reduction for the Allen-Cahn Equation
The Allen-Cahn equation is a gradient system, where the free-energy functional decreases monotonically in time. We develop an energy stable reduced order model (ROM) for a gradient system, which inherits the energy decreasing property of the full order model (FOM). For the space discretization we apply a discontinuous Galerkin (dG) …