报告题目：Superconvergence analysis of FEMs for the Biological models

报  告 人：张思惠

报告时间：2025年11月4日10：00

报告地点：莲花街校区惟德楼315会议室

报告人简介：

张思惠，博士，郑州大学讲师，硕士生导师。毕业于郑州大学计算数学专业，主要从事有限元方法研究。近年来，在有限元方法领域国际主流期刊上发表学术论文9篇，其中包括 Computer Methods in Applied Mechanics and Engineering、Journal of Computational and Applied Mathematics、Communications in Nonlinear Science and Numerical Simulation、Applied Mathematics and Computation、Applied Numerical Mathematics 和 Applied Mathematics Letters等，研究成果得到国际同行的广泛认可。现担任Applied Numerical Mathematics等国际期刊审稿人。

报告内容简介：

In this talk, for the fourth-order singular perturbation Bi-flux equation, a novel important property of high accuracy of the linear triangular finite element is presented by the Bramble-Hilbert (B-H) lemma. At the same time, some new superconvergence error estimates of the constrained nonconforming rotated bilinear（CNQ_1^rot） element on anisotropic meshes are also proposed. The energy dissipative schemes are constructed and the unconditional uniform superconvergence results are obtained. Some numerical tests are carried out to confirm the theoretical analysis.

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