邀请人：王雨顺 教授
报告地点：行健楼526室
报告摘要：Solving PDEs on time-varying domains has many applications in computational fluid dynamics. Generally, one has to discretize the PDE and track the variation (movement + deformation) of the domain simultaneously. We propose a high-order numerical method for solving linear convection-diffusion equations in 2D based on fictitious domain and Eulerian meshes. For smooth solutions, we proved high-order error estimates for the method by taking account of surface-tracking errors, time-discretization errors, and space-discretization errors. Numerical experiments show up to fourth-order convergence of the method for relatively large deformation of the domain.
