报告题目：A triangular spectral element method for elliptic and Stokes problems（椭圆和Stokes问题的三角谱元方法）
报告时间：12月2日9:00-10:00
报告地点：理学院二楼会议室
报告人：李会元
报告摘要：In this talk, we study a triangular spectral-element method based on a one-to-one mapping between the rectangle and the triangle. We construct a new approximation spacewhere the integral singularity brought by the mapping can be removed in a naive andstable way. We build aquasi-interpolation triangular spectral-element approximation, andanalyze its approximation error. Based on this quasi-interpolation spectral-element approximation, we put forward a new triangular spectral-element method for the 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-elementmethod to solve the steady Stokes problem.