题目: Finite Element Approximation of a Free Boundary Plasma Problem
地点：数学楼627研究室
时间：2018年7月27日 10:00-11:00
报告人: Prof. Jintao Cui （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.
