An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations

：陶詹晶
：2021-05-27 10:30
：厦大海韵园数理大楼6楼686

报告人：陶詹晶（吉林大学）

时  间：5月27日上午10:30

地  点：厦大海韵园数理大楼6楼686

内容摘要:

We develop a high order adaptive scheme for solving nonlinear Schrödinger equations. The solutions to such equations often exhibit solitary wave and local structures, which makes adaptivity essential in improving the simulation efficiency. Our scheme uses the ultra-weak discontinuous Galerkin (DG) formulation and belongs to the framework of adaptive multiresolution schemes. Various numerical experiments are presented to demonstrate the excellent capability of capturing the soliton waves and the blow-up phenomenon.

个人简介：

陶詹晶博士的研究方向为偏微分方程数值解，主要设计高阶方法来数值求解双曲方程，包括WENO格式，DG格式和稀疏网格方法等。2016年博士毕业于厦门大学计算数学专业，2016-2019年在美国Michigan State University从事博士后研究。

 

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