题目：High order semi-implicit spectral deferred correction and LDG methods for phase eld models

报告人: 郭瑞晗 郑州大学

  

时间： 2018年8月6日 下午 2:00-3:00 

地点： 管理科研楼 1218

摘要：

In this talk, we present local discontinuous Galerkin (LDG) methods for a series of phase field models. The phase field models are PDEs containing high order spatial derivatives, which leads to the severe time step restriction of explicit time discretization methods to maintain stability. Due to this, we introduce a series of semi-implicit first order time discretization methods, including the convex splitting approach, the stabilization approach the IEQ approach. We also prove the corresponding unconditional energy stabilities. To improve the temporal accuracy, a novel semiimplicit spectral deferred correction (SDC) method combining with the first order method are adopted for the phase field models. These equations at the implicit time level are nonlinear and we employ an efficient nonlinear multigrid solver to solve the equations. Numerical results are also given to illustrate that the combination of the LDG method for spatial approximation, high order semi-implicit time marching methods with the multigrid solver provides an efficient and practical approach when solving the phase field models.