Keynote Speaker:Li Dongfang

Abstract:

In this paper, several Newton linearized Galerkin finite element methods are proposed to solve the nonlinear time fractional parabolic problems with non-smooth solutions. Iterative processes or the corrected schemes become dispensable by the use of the Newton linearized method and the graded meshes in the temporal direction. We prove that the unconditionally optimal $L_2$ error estimates hold by fully considering the weak regularity in the temporal direction, while the previous unconditional convergent results always require the continuity and boundedness of the temporal derivative of the exact solutions. Numerical experiments are proposed to confirm the theoretical results.

Speaker Introduction:

Li Dongfang, a professor and tutor of the PHD students in the School of Mathematics and Statistics of Huazhong University of Science and Technology, and a member of the Simulation Algorithm Specialized Committee of Chinese Association for System Simulation. He is mainly engaged in the research of basic theory of ordinary differential equations, system simulation and signal processing. He has been engaged in post-doctoral research at McGill University in Canada and City University of Hong Kong. Up to now, he has published more than 40 papers as the first or correspondent authors in many international famous SCI journals of computing disciplines such asSIAM. J. Numer. Anal.,SIAM. J. Sci. Comput.,J. Comput. Phys.He presided over one general project and one outstanding youth fund project of the National Natural Science Foundation of China, and one Post-doctoral Foundation project, and participated in many projects of National Natural Science Foundation of China. He has successively won the Academic Newcomer Award of Huazhong University of Science and Technology and the Xiangjiang Scholar Award.

Inviter:

Jiang Xiaoyun ProfessorofSchool of Mathematics

Time:

9:50-10:40on November 28 (Saturday)

Location:

Tencent Meeting, Meeting ID:782 591 290

Click the link to attend the meeting, or add to the meeting list:

https://meeting.tencent.com/s/kXABuXE4hbgt

Hosted by: School of Mathematics, Shandong University