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数学学院、所系列学术报告(819场):Prof. Jintao Cui (The Hong Kong Polytechnic University)

发表于: 2018-08-22 08:59  点击:

题目:  Finite Element Approximation of a Free Boundary Plasma Problem

地点:数学楼627研究室

时间:2018727 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.