管理员登录 / English
Anisotropic meshes and stabilization parameter design of linear SUPG method for 2D convection-dominated convection-diffusion equations
发布时间: 2017-09-20     12:41   【返回上一页】 发布人:阴小波



北京师范大学数学科学学院

 

计算数学报告

 

 

 

 

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

 

 

报告人:阴小波(华中师范大学)

 

 

时间地点:2017927日(星期三)下午3-4,后主楼1223

 

 

邀请人:陈华杰

 

 

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.