Abstract | ||
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In this article, an alternative energy-space based approach is proposed for the Dirichlet boundary control problem and then a finite-element based numerical method is designed and analyzed for its numerical approximation. A priori error estimates of optimal order in the energy norm and the L-2-norm are derived. Moreover, a reliable and efficient a posteriori error estimator is derived with the help of an auxiliary problem. The theoretical results are illustrated by the numerical experiments. |
Year | DOI | Venue |
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2017 | 10.1090/mcom/3125 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Optimal control,Dirichlet control,finite element,optimal error estimate,adaptive finite element,a posteriori estimates | Mathematical optimization,Optimal control,Mathematical analysis,A priori and a posteriori,Finite element method,Dirichlet distribution,Numerical approximation,Numerical analysis,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
86 | 305 | 0025-5718 |
Citations | PageRank | References |
3 | 0.41 | 13 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Sudipto Chowdhury | 1 | 3 | 0.75 |
Thirupathi Gudi | 2 | 135 | 14.43 |
A.K. Nandakumaran | 3 | 10 | 2.70 |