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李会元教授学术报告
发布时间:2018-06-29   浏览次数:  


报告题目:A triangular spectral element method for elliptic and Stokes problems

报告时间:201863015:00-16:00

报告地点:理学院120

: 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.


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