*主持人：朱升峰 教授

*讲座内容简介：

In this talk, I shall introduce an adaptive edge element method for a quasilinear H(curl)-elliptic problem in magnetostatics, based on a residual-type a posteriori error estimator and general marking strategies. The error estimator is shown to be reliable and efficient, and its resulting sequence of adaptively generated solutions converges strongly to the exact solution of the original quasilinear system. Numerical experiments are provided to verify the validity of the theoretical results. This is a joint work with Prof. Irwin Yousept (University of Duisburg-Essen) and Prof. Jun Zou (The Chinese University of Hong Kong).

*主讲人简介：

徐一峰副教授目前在上海师范大学数理学院数学系工作，研究兴趣是有限元方法及应用。近来的工作集中于自适应有限元方法在弹性力学、电磁场问题以及反问题中的应用。已在Mathematical Models and Methods in Applied Sciences、Mathematics of Computation、SIAM Journal on Numerical Analysis和SIAM Journal on Control and Optimization等学术期刊上发表研究论文20篇。