報告題目：A triangular spectral element method for elliptic and Stokes problems
報告時間🎭：2018年6月30日15:00-16:00
報告地點：必一体育平台120室
報告人: 李會元𓀊，中國科必一軟件所教授，主要從事數值分析和科學計算方面研究工作。
報告摘要🥥：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.
歡迎各位老師和同學參加♐️！