报告题目：A layers capturing type H-adaptive FEM forconvection-diffusion-reaction equations on surfaces
报 告 人：冯新龙教授
工作单位：新疆大学
报告时间：2021-1-21 10:00-12:00；
腾讯会议ID：943 887 762
报告摘要：
In this work, we study the FE approximation of surface convection-diffusion-reaction equations which are important fundamental model problems in simulations of complex physical phenomena on moving interfaces, ultra-thin materials and biological films. The optimal error estimates of FEM are shown. According to the analyze results, the solutions of convection-dominated diffusion problems have low accuracy in the regions of layers. To overcome such drawback which may lead to non-physical oscillations, the adaptive mesh refinement method is considered. Due to the numerical characteristic of non-physical oscillations and layers, we present an error estimator which specializes in capturing the non-physical oscillations and layers. The mesh refinement marking strategies which take into account the large curvatures of the surfaces are developed. Finally, numerical examples are designed to demonstrate the effectiveness of the proposed H-adaptive method and make exploration of the solution behavior of convection-dominated diffusion problems on surfaces.
报告人简介：
冯新龙：新疆大学数学与系统科学学院，二级教授，博士生导师。主要从事科学计算、不确定性量化、人工智能与机器学习等方面的研究工作。曾在韩国首尔国立大学、香港浸会大学、巴西巴拉那联邦大学、加拿大阿尔伯塔大学从事博士后研究和短期访问。在SISC，MCOM，CMAME，JCP等期刊合作发表学术论文170余篇。主持完成国家自然科学基金项目6项。荣获自治区科学技术进步奖一等奖1项、二等奖1项，以及新疆青年科技奖等。
