Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
作者： Eduardo Casas , Jean‐Pierre Raymond
DOI: 10.1137/050626600
关键词: Mathematical analysis 、 Elliptic partial differential equation 、 Boundary (topology) 、 Pointwise 、 Boundary value problem 、 Finite element method 、 Optimal control 、 Mathematics 、 Partial differential equation 、 Domain (mathematical analysis)
摘要: … optimal control problem governed by a semilinear elliptic equation. The control is the Dirichlet datum on the boundary … Bound constraints are imposed on the control. The cost functional …
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sci-hub.se 参考文章(36)
M. D. Gunzburger, L. S. Hou, Th. P. Svobodny, Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls Mathematical Modelling and Numerical Analysis. ,vol. 25, pp. 711- 748 ,(1991) , 10.1051/M2AN/1991250607111
Fredi Tröltzsch, Semidiscrete Finite Element Approximation of Parabolic Boundary Control Problems — Convergence of Switching Points Birkhäuser Basel. pp. 219- 232 ,(1987) , 10.1007/978-3-0348-7627-8_13
Tunc Geveci, On the approximation of the solution of an optimal control problem governed by an elliptic equation ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique. ,vol. 13, pp. 313- 328 ,(1979) , 10.1051/M2AN/1979130403131
Fredi Tr�ltzsch, Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems?Strong convergence of optimal controls Applied Mathematics & Optimization. ,vol. 29, pp. 309- 329 ,(1994) , 10.1007/BF01189480
L. Ridgway Scott, Susanne C Brenner, The Mathematical Theory of Finite Element Methods ,(2007)
José Barros-Neto, Problèmes aux limites non homogènes Presses de l'Université de Montréal. ,(1966)
Hans Triebel, Interpolation Theory, Function Spaces, Differential Operators ,(1978)
Pierre Grisvard, Elliptic Problems in Nonsmooth Domains ,(2011)
William W. Hager, Numerical Analysis in Optimal Control Birkhäuser, Basel. pp. 83- 93 ,(2001) , 10.1007/978-3-0348-8148-7_7
M. Hinze, A variational discretization concept in control constrained optimization: the linear-quadratic case Computational Optimization and Applications. ,vol. 30, pp. 45- 61 ,(2005) , 10.1007/S10589-005-4559-5