报告题目:  Local discontinuous Galerkin method for the nonlinear high order derivatives equations
报告人: 中国科学技术大学 徐岩 教授
报告时间: 2019年3月29日(周五) 上午 9:00-10:30
报告地点: 数学与统计学院金融实验室

摘要:  In this talk, we discuss local discontinuous Galerkin method for solving the nonlinear wave equations which contain nonlinear high order derivatives. The discretization results in an extremely local, element based discretization, which is beneficial for parallel computing and maintaining high order accuracy on unstructured meshes. In particular, the methods are well suited for  hp-adaptation, which consists of local mesh refinement and/or the adjustment of the polynomial order in individual elements. The stability and the error estimates of the numerical methods will be discussed. Numerical simulation results for different types of solutions illustrate the accuracy and capability of the methods.