报 告 人：李京梁 博士（苏州理工学院）
报告题目：A New TriangularSpectral Element Method
报告时间：2016年12月3日9：30
报告地点：静远楼204报告厅
报告摘要：
In this paper, we study a new triangular spectral-element method based on a one-to-one mapping between rectangle and triangle. We construct a new approximation space wherethe integral singularity brought by the mapping can be removed in a naive andstable way. In addition, we build a quasi-interpolation triangular spectral-element approximation, and analyze its approximation error. Based on this quasi-interpolation, we putforward a new triangular spectral-element method for elliptic problems. We present the approximation scheme, analyze the convergence, and do some experiments to test the effectiveness. At last, we implement this triangular spectral-element method to solve the steady Stokes problem.