华中师范大学阴小波副教授学术报告通知

2017年10月16日 16:54  


报告题目:Anisotropic meshes and stabilization parameter design of linear SUPG method for 2D convection-dominated convection-diffusion equations

人:阴小波副教授

间:201710179:30-11:30

点:理学院201会议室

人:聂玉峰教授

报告摘要:In this talk, we propose a numerical strategy to generate a sequence of anisotropic meshes and select appropriate stabilization parameters simultaneously for linear SUPG method solving two dimensional convection-dominated convection-diffusion equations. Since the discretization error in a suitable norm can be bounded by the sum of interpolation error and its variants in different norms, we replace them by some terms which contain the Hessian matrix of the true solution, convective field, and the geometric properties such as directed edges and the area of triangles. Based on this observation, the shape, size and equidistribution requirements are used to derive corresponding metric tensor and stabilization parameters. Numerical results are also provided to validate the stability and efficiency of the proposed numerical strategy.

报告人简介:阴小波,华中师范大学数学与统计学学院副教授。研究兴趣涉及特征值问题的数值解法,自适应算法及移动网格方法,非局部问题的数值分析。

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