報告題目：A triangular spectral element method for elliptic and Stokes problems（橢圓和Stokes問題的三角譜元方法）
報告時間：12月2日9:00-10:00
報告地點：必一体育平台二樓會議室
報告人：李會元
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 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.