Can We Do Better for Computation of Eigenvalues of PDE Eigenvalue Problems?
- A+
：胡俊教授
：2019-06-13 09:30
：实验楼105
Speaker：Professor. Jun Hu
Peking University
Title: Can We Do Better for Computation of Eigenvalues of PDE Eigenvalue Problems?
Time：13 June 2019, 9:30
Location：实验楼105
Abstract: Finding eigenvalues of operators is important in the mathematical sciences. Many numerical methods have been used to approximate eigenvalue problems of partial differential operators, such as finite difference methods, finite element methods spectral methods.However, it is well-known that when finite difference methods finite element methods are applied, only a small portion of numerical eigenvalues can be reliable. Is it possible to improve accuracy for a large number of eigenvalues?
Adaptive finite element methods has been widely used to improve the accuracy of numerical solutions of PDE problems including PDE eigenvalue problems. It is believed to be one of the most efficient discretizations. Is it possible to improve largely adaptive finite element methods of PDE eigenvalue problems?
This talk will try to touch the aforementioned topics.
