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Simplified and primal dual weak Galerkin methods for some engineering applications

发布者:澳门新葡亰游戏平台      发布时间:2020-07-24      浏览次数:10

报告人:刘玉洁 鹏城实验室

直播时间:2020年7月26日上午 9:30

直播方式:腾讯会议  会议ID:933 422 127

报告人及内容简介:

刘玉洁,鹏城实验室量子中心助理研究员。2010年于法国巴黎第六大学(皮埃尔和玛丽居里大学)获得应用数学硕士学位,2014年于法国艾克斯-马赛大学获得应用数学博士学位。此后于法国圣艾蒂安国立矿业工程师大学材料与结构科学中心/法国国家科研中心CNRS高等级联合实验室从事博士后研究。2016年,于中山大学数据与计算机科学学院任副研究员。

Numerical simulation of industrial applications often involve complex typologies and multi-scale multi-physics phenomenon, which are known to be challenging. Some simplified weak Galerkin Methods (SWG) and primal dual weak Galerkin methods (PDWG) have been proposed and studied recently. These methods either have less degrees of freedom or dedicated to low regularity problems, are conservative, simple and user-friendly in computer implementation on polygonal meshes, thus ease engineering applications. Numerical theories such as the stability, discrete maximum principle (DMP) and optimal order of error estimates have been established and verified by numerical experiments. These numerical methods will be further extended and applied to solve more realistic multi-physics problems.


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