| Fast Solvers of Fredholm Optimal Control Problems |
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| 作者姓名： | Mario Borzì |
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| 作者单位： | [1]Università degli Studi di Salerno, Dipartimento di Matematica e Informatica,Via Ponte Don Melillo, 84084 Fisciano (SA [2]Università degli Studi del Sannio, Dipartimento e Facoltà di Ingegneria, Palazzo Dell'Aquila Bosco Lucarelli, Corso Garibaldi 107, 82100 Benevento, Italia [3]Institut für Mathematik und Wissenschaftliches Rechnen, Karl-Franzens-Universit(a |
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| 摘 要： | <正>The formulation of optimal control problems governed by Fredholm integral equations of second kind and an efficient computational framework for solving these control problems is presented.Existence and uniqueness of optimal solutions is proved. A collective Gauss-Seidel scheme and a multigrid scheme are discussed.Optimal computational performance of these iterative schemes is proved by local Fourier analysis and demonstrated by results of numerical experiments.
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| 关 键 词： | Control Problems control problems Fredholm integral equations Existence and uniqueness optimal solutions Fourier analysis performance framework results kind |
Fast Solvers of Fredholm Optimal Control Problems |
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| Mario Annunziato,Alfio Borzì.Fast Solvers of Fredholm Optimal Control Problems[J].Numerical Mathematics A Journal of Chinese Universities English Series,2010,3(4). |
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| Authors: | Mario Annunziato Alfio Borzì |
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| Abstract: | The formulation of optimal control problems governed by Fredholm integral equations of second kind and an efficient computational framework for solving these control problems is presented. Existence and uniqueness of optimal solutions is proved.A collective Gauss-Seidel scheme and a multigrid scheme are discussed. Optimal computational performance of these iterative schemes is proved by local Fourier analysis and demonstrated by results of numerical experiments. |
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| Keywords: | Optimal control theory Fredholm integral equations of second kind iterative methods |
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