Name
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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10444-016-9495-7 | Adv. Comput. Math. |
Keywords | Field | DocType |
Plasma problem,Finite element,Weak formulation,Free boundary,Optimal control,49S05,65K10,65K15,65N15,65N30 | Uniqueness,Continuous modelling,Mathematical optimization,Optimal control,Mathematical analysis,Finite element method,Adaptive mesh refinement,Free boundary problem,Weak formulation,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
43 | 3 | 1019-7168 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jintao Cui | 1 | 8 | 1.99 |
| Thirupathi Gudi | 2 | 135 | 14.43 |