报告题目:Finite Element Approximation of a Free Boundary Plasma Problem Speaker: Jintao Cui

报告人：崔金涛博士

报告时间：上午10点

报告地点：语林楼406

报告人：崔金涛博士

崔金涛，博士，香港理工大学助理教授(研究)。2004年本科毕业于大连理工大学，2010年博士毕业于路易斯安那州立大学。曾任明尼苏达大学博士后（2010年-2012年），阿肯色大学小石城分校助理教授（2012年-2014年）。崔金涛博士的主要研究方向为偏微分方程数值解法、有限元方法、多重网格方法等；曾在Mathematics of Computation、 Numerische Mathematik、 IMA Journal of Numerical Analysis、Journal of Scientific Computing 等计算数学领域高水平学术期刊上发表研究论文。

报告时间：5月22日上午10点，地点：语林楼406

Title:

Finite Element Approximation of a Free Boundary Plasma Problem

Speaker: Jintao Cui

Affiliation: Department of Applied Mathematics, The Hong Kong Polytechnic University

Email: jintao.cui@polyu.edu.hk

Abstract: In this work, we study the finite element approximation of a free boundary plasma

problem, which is related to some problems in electromagnetics. Using a mixed approach

(which resembles an optimal control problem with control constraints), we formulate a weak

formulation and study the existence and uniqueness of a solution to the continuous model

problem. Using the same setting, we formulate and analyze the discrete problem. We derive

optimal order energy norm a priori error estimates proving the convergence of the method.

Further, we derive a reliable and efficient a posteriori error estimator for the adaptive mesh

refinement algorithm. The theoretical results are confirmed by numerical experiments.