报告题目：Efficient approximation algorithm for the Schrödinger -Possion system

报告人：何学飞 博士

报告时间：2022年11月15日15：15—16：00

报告地点：数学与统计学院315报告厅

报告摘要：In this talk, we will consider an efficient approximation algorithm for the Schrödinger -Possion system arising in the resonant tunneling diode (RTD) structure. By following the classical Gummel iterative procedure, we firstly decouple this nonlinear system and prove the convergence of the iteration method. Then via introducing a novel spatial discrete method, we solve efficiently the decoupled Schrödinger and Possion equations with discontinuous coefficients on no-uniform meshes at each iterative step, respectively. Compared with the traditional ones, the algorithm considered here not only has a less restriction on the discrete mesh, but also is more accurate. Finally, some numerical experiments are shown to confirm the efficiency of the proposed algorithm.

何学飞，博士，2020年获重庆大学理学博士学位，主持在研国家自然科学基金青年项目1项，主要从事奇异摄动问题的数值方法研究，在Numer. Methods Partial Differential Eq.等期刊发表SCI检索论文4篇.