报告题目:A triangular spectral element method for elliptic and Stokes problems
报告时间:2018年6月30日15:00-16:00
报告地点:澳门十大娱乐平台正规120室
报告人: 李会元,中国科学院软件所教授,主要从事数值分析和科学计算方面研究工作。
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 space where the integral singularity brought by the mapping can be removed in a naive and stable way. We build aquasi-interpolation triangular spectral-element approximation, and analyze 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-element method to solve the steady Stokes problem.
欢迎各位老师和同学参加!