【数学学院】A moving mesh discontinuous Galerkin method for hyperbolic conservation laws

  • 日期:2018-09-03        来源:四川大学数学学院         点击数:


报告题目: A moving mesh discontinuous Galerkin method for hyperbolic conservation laws

报告人:邱建贤 教授

单位:厦门大学数学科学学院

时间:2018年9月7日(周五)下午4:00-5:00

地点:数学学院西303报告厅

摘要:In this presentation, a moving mesh discontinuous Galerkin (DG) method is developed for the numerical solution of hyperbolic 

conservation laws. The method combines the DG method and the mesh movement strategy which is based on the moving mesh partial differential

equation approach and moves the mesh continuously in time using a system of mesh partial differential equations. The mesh is a nonuniform 

mesh that is sparse in the regions where the solution is smooth and more concentrated near discontinuities. The method can not only achieve

the high order in the smooth region, but also capture the shock well in the discontinuous region. For the same number of grid points, the 

numerical solution with the moving mesh method is much better than ones with the uniform mesh method. Numerical examples are presented to 

show the accuracy and shock-capturing of the method.


来源链接:http://math.scu.edu.cn/info/1062/3695.htm