Finite element approximation of a free boundary plasma problem

Cui, Jintao and Gudi, Thirupathi (2017) Finite element approximation of a free boundary plasma problem. In: ADVANCES IN COMPUTATIONAL MATHEMATICS, 43 (3). pp. 517-535.

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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.

Item Type:	Journal Article
Publication:	ADVANCES IN COMPUTATIONAL MATHEMATICS
Additional Information:	Copy right for this article belongs to the
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	10 Jun 2017 04:37
Last Modified:	10 Jun 2017 04:37
URI:	http://eprints.iisc.ac.in/id/eprint/57144

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