Cui, Jintao ; Gudi, Thirupathi (2016) Finite element approximation of a free boundary plasma problem Advances in Computational Mathematics, 43 (3). pp. 517-535. ISSN 1019-7168
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Official URL: https://doi.org/10.1007/s10444-016-9495-7
Related URL: http://dx.doi.org/10.1007/s10444-016-9495-7
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: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
| Keywords: | Plasma Problem; Finite Element; Weak Formulation; Free Boundary; Optimal Control |
| ID Code: | 141610 |
| Deposited On: | 02 Dec 2025 05:32 |
| Last Modified: | 02 Dec 2025 05:32 |
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