Finite element approximation of a free boundary plasma problem

Jintao Cui, Thirupathi Gudi

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

In this article, we study a finite element approximation for a model free boundary plasma problem. 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. Finally, we illustrate the theoretical results by some numerical examples.
Original languageEnglish
Pages (from-to)517-535
Number of pages19
JournalAdvances in Computational Mathematics
Volume43
Issue number3
DOIs
Publication statusPublished - 1 Jun 2017

Keywords

  • Finite element
  • Free boundary
  • Optimal control
  • Plasma problem
  • Weak formulation

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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