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Superconvergence Analysis of High-order Edge Elements with Applications to Maxwell's Equations
2019-12-29 20:46  

报告题目:Superconvergence Analysis of High-order Edge Elements with Applications to Maxwell's Equations

报 告 人:李继春教授(美国内华达大学拉斯维加斯分校)

报告时间:2019年12月30日 9:00-10:00

报告地点:数统院307学术报告厅

报告摘要:

Since early 1970s, the superconvergence study of finite element methods has been a very active research topic due to its applications in leading to more efficient numerical methods for solving various differential equations. Many excellent superconvergence results have been obtained for elliptic equations, parabolic equations and linear hyperbolic equations. For Maxwell's equations, the first superconvergence result was derived in 1994. Since then, some results have been obtained. But there are many unsolved problems. In this talk, I'll present our recent breakthrough results obtained for both the second and third order edge elements. Theoretical analysis and numerical results will be presented. I will conclude the talk with some open issues.

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