Recent articles in ESAIM: Control, Optimisation and Calculus of Variations

Recent articles in ESAIM: Control, Optimisation and Calculus of Variations http://www.edpsciences.org/cocv Contents of the last issue of ESAIM: Control, Optimisation and Calculus of Variations weekly 1 2008-07-03T07:57:46Z EDP Sciences Copyright (c) 2008 Copyright (c) 2008 1262-3377 ESAIM: Control, Optimisation and Calculus of Variations An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints http://www.edpsciences.org/10.1051/cocv:2007057 Authors: Michael Hintermüller, Ronald H.W. Hoppe, Yuri Iliash and Michael Kieweg ESAIM: COCV 14, 540 (2008) Received October 6, 2005. Revised March 8, 2006. Published online November 21, 2007. Keywords: A posteriori error analysis, distributed optimal control problems, control constraints, adaptive finite element methods, residual-type a posteriori error estimators, data oscillations An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints Michael Hintermüller Ronald H.W. Hoppe Yuri Iliash Michael Kieweg A posteriori error analysis distributed optimal control problems control constraints adaptive finite element methods residual-type a posteriori error estimators data oscillations 65N30 65N50 49K20 65K10 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007057 ESAIM: COCV 14, 540 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 540 14 Topological sensitivity analysis for time-dependent problems http://www.edpsciences.org/10.1051/cocv:2007059 Authors: Samuel Amstutz, Takéo Takahashi and Boris Vexler ESAIM: COCV 14, 427 (2008) Received June 26, 2006. Revised December 5, 2006. Published online November 21, 2007. Keywords: Topological sensitivity, topology optimization, parabolic equations, hyperbolic equations Topological sensitivity analysis for time-dependent problems Samuel Amstutz Takéo Takahashi Boris Vexler Topological sensitivity topology optimization parabolic equations hyperbolic equations 49Q10 49Q12 35K05 35L05 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007059 ESAIM: COCV 14, 427 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 427 14 A nonsmooth optimisation approach for the stabilisation of time-delay systems http://www.edpsciences.org/10.1051/cocv:2007060 Authors: Joris Vanbiervliet, Koen Verheyden, Wim Michiels and Stefan Vandewalle ESAIM: COCV 14, 478 (2008) Received July 3, 2006. Revised January 18, 2007. Published online November 21, 2007. Keywords: Stabilisation, delay differential equations, nonsmooth optimisation, bundle gradient methods A nonsmooth optimisation approach for the stabilisation of time-delay systems Joris Vanbiervliet Koen Verheyden Wim Michiels Stefan Vandewalle Stabilisation delay differential equations nonsmooth optimisation bundle gradient methods 65Q05 65K10 90C26 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007060 ESAIM: COCV 14, 478 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 478 14 Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands http://www.edpsciences.org/10.1051/cocv:2007061 Authors: Micol Amar, Virginia De Cicco and Nicola Fusco ESAIM: COCV 14, 456 (2008) Received October 20, 2006. Revised January 11, 2007. Published online November 21, 2007. Keywords: Semicontinuity, relaxation, BV functions, capacity Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands Micol Amar Virginia De Cicco Nicola Fusco Semicontinuity relaxation BV functions capacity 49J45 49Q20 49M20 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007061 ESAIM: COCV 14, 456 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 456 14 An Ingham type proof for a two-grid observability theorem http://www.edpsciences.org/10.1051/cocv:2007062 Authors: Paola Loreti and Michel Mehrenberger ESAIM: COCV 14, 604 (2008) Received July 11, 2005. Revised February 10 and April 26, 2006. Published online December 21, 2007. Keywords: Uniform observability, two-grid method, Ingham type theorem An Ingham type proof for a two-grid observability theorem Paola Loreti Michel Mehrenberger Uniform observability two-grid method Ingham type theorem 35L05 65M55 93B07 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007062 ESAIM: COCV 14, 604 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 604 14 Necessary and sufficient optimality conditions for elliptic control problems with finitely many pointwise state constraints http://www.edpsciences.org/10.1051/cocv:2007063 Author: Eduardo Casas ESAIM: COCV 14, 575 (2008) Received May 3, 2006. Revised November 20, 2006. Published online December 21, 2007. Keywords: Elliptic control problems, pointwise state constraints, Pontryagin's principle, second order optimality conditions Necessary and sufficient optimality conditions for elliptic control problems with finitely many pointwise state constraints Eduardo Casas Elliptic control problems pointwise state constraints Pontryagin's principle second order optimality conditions 49K20 35J25 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007063 ESAIM: COCV 14, 575 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 575 14 A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems http://www.edpsciences.org/10.1051/cocv:2007064 Authors: Alexander Mielke and Michael Ortiz ESAIM: COCV 14, 494 (2008) Received May 20, 2006. Revised October 31, 2006. Published online December 21, 2007. Keywords: Weighted energy-dissipation functional, incremental minimization problems, relaxation of evolutionary problems, rate-independent processes, energetic solutions A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems Alexander Mielke Michael Ortiz Weighted energy-dissipation functional incremental minimization problems relaxation of evolutionary problems rate-independent processes energetic solutions 49J40 49M20 49S05 74N10 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007064 ESAIM: COCV 14, 494 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 494 14 On some general almost periodic Optimal Control problems: links with periodic problems and necessary conditions http://www.edpsciences.org/10.1051/cocv:2007065 Author: Denis Pennequin ESAIM: COCV 14, 590 (2008) Received September 8, 2006. Revised January 18, 2007. Published online December 21, 2007. Keywords: Almost Periodic Optimal Control, Periodic Optimal Control, Pontryagin theorem, Almost periodicity on groups On some general almost periodic Optimal Control problems: links with periodic problems and necessary conditions Denis Pennequin Almost Periodic Optimal Control Periodic Optimal Control Pontryagin theorem Almost periodicity on groups 43A60 49K27 49J27 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007065 ESAIM: COCV 14, 590 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 590 14 A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations http://www.edpsciences.org/10.1051/cocv:2007066 Author: Louis Tebou ESAIM: COCV 14, 561 (2008) Received August 18, 2006. Published online December 21, 2007. Keywords: Hyperbolic equation, exponential decay, localized damping, Carleman estimates A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations Louis Tebou Hyperbolic equation exponential decay localized damping Carleman estimates 93D15 35L05 35L70 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2007066 ESAIM: COCV 14, 561 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 561 14 On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback http://www.edpsciences.org/10.1051/cocv:2008001 Authors: Bao-Zhu Guo, Jun-Min Wang and Cui-Lian Zhou ESAIM: COCV 14, 632 (2008) Received April 12, 2006. Revised October 23, 2006 and March 16, 2007. Published online January 18, 2008. Keywords: Rayleigh beam, collocated control, spectral analysis, exponential stability On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback Bao-Zhu Guo Jun-Min Wang Cui-Lian Zhou Rayleigh beam collocated control spectral analysis exponential stability 93C20 93C25 35J10 47E05 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2008001 ESAIM: COCV 14, 632 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 632 14 Variational approach to shape derivatives http://www.edpsciences.org/10.1051/cocv:2008002 Authors: Kazufumi Ito, Karl Kunisch and Gunther H. Peichl ESAIM: COCV 14, 517 (2008) Received June 27, 2006. Revised December 19, 2006. Published online February 7, 2008. Keyword: Shape derivative Variational approach to shape derivatives Kazufumi Ito Karl Kunisch Gunther H. Peichl Shape derivative 49Q10 90C31 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2008002 ESAIM: COCV 14, 517 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 517 14 Dirichlet problems with singular and gradient quadratic lower order terms http://www.edpsciences.org/10.1051/cocv:2008031 Author: Lucio Boccardo ESAIM: COCV 14, 411 (2008) Received January 8, 2008. Published online April 26, 2008. Keywords: Quadratic gradient, singular lower order term Dirichlet problems with singular and gradient quadratic lower order terms Lucio Boccardo Quadratic gradient singular lower order term 35J20 35J25 35J65 2008-07-03T07:57:47Z text/html doi:10.1051/cocv:2008031 ESAIM: COCV 14, 411 abstract 3 1215071867 ESAIM: Control, Optimisation and Calculus of Variations Article 411 14 Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs http://www.edpsciences.org/10.1051/cocv:2008037 Authors: Peter I. Kogut and Günter Leugering ESAIM: COCV PREPRINT, (2008) Received January 7, 2005. Revised January 20, 2006 and December 8, 2006. Published online June 24, 2008. Keywords: Optimal control, homogenization, elliptic equation, periodic graph Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs Peter I. Kogut Günter Leugering Optimal control homogenization elliptic equation periodic graph 35B27 35J25 49J20 93C20 2008-06-23T10:11:50Z text/html doi:10.1051/cocv:2008037 ESAIM: COCV PREPRINT, abstract 1214215910 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints http://www.edpsciences.org/10.1051/cocv:2008038 Authors: Ira Neitzel and Fredi Tröltzsch ESAIM: COCV PREPRINT, (2008) Received January 10, 2007. Revised July 31, 2007 and October 23, 2007. Published online June 24, 2008. Keywords: Optimal control, parabolic equation, pointwise state constraints, boundary control, Lavrentiev-type regularization On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints Ira Neitzel Fredi Tröltzsch Optimal control parabolic equation pointwise state constraints boundary control Lavrentiev-type regularization 49K20 49N10 49M05 2008-06-23T10:11:50Z text/html doi:10.1051/cocv:2008038 ESAIM: COCV PREPRINT, abstract 1214215910 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT The regularisation of the N-well problem by finite elements and by singular perturbation are scaling equivalent in two dimensions http://www.edpsciences.org/10.1051/cocv:2008039 Author: Andrew Lorent ESAIM: COCV PREPRINT, (2008) Received June 7, 2007. Revised January 15, 2008. Published online June 24, 2008. Keywords: Two wells, surface energy The regularisation of the N-well problem by finite elements and by singular perturbation are scaling equivalent in two dimensions Andrew Lorent Two wells surface energy 74N15 2008-06-23T10:11:50Z text/html doi:10.1051/cocv:2008039 ESAIM: COCV PREPRINT, abstract 1214215910 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT A new series of conjectures and open questions in optimization and matrix analysis http://www.edpsciences.org/10.1051/cocv:2008040 Author: Jean-Baptiste Hiriart-Urruty ESAIM: COCV PREPRINT, (2008) Received July 23, 2007. Revised February 4, 2008. Published online June 24, 2008. Keywords: Convex sets, positive (semi)definite matrices, variational problems, energy functions, global optimization, permanent function, bistochastic matrices, normal matrices A new series of conjectures and open questions in optimization and matrix analysis Jean-Baptiste Hiriart-Urruty Convex sets positive (semi)definite matrices variational problems energy functions global optimization permanent function bistochastic matrices normal matrices 15A 26B 49K 65C 65K 90C 2008-06-23T10:11:50Z text/html doi:10.1051/cocv:2008040 ESAIM: COCV PREPRINT, abstract 1214215910 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case http://www.edpsciences.org/10.1051/cocv:2008041 Authors: Gilles A. Francfort, Nam Q. Le and Sylvia Serfaty ESAIM: COCV PREPRINT, (2008) Received September 19, 2007. Revised February 29, 2008. Published online June 24, 2008. Keywords: Mumford-Shah functional, Ambrosio-Tortorelli functional, Gamma-convergence, critical points, brittle fracture Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case Gilles A. Francfort Nam Q. Le Sylvia Serfaty Mumford-Shah functional Ambrosio-Tortorelli functional Gamma-convergence critical points brittle fracture 49Q20 49J45 35B38 35J60 2008-06-23T10:11:50Z text/html doi:10.1051/cocv:2008041 ESAIM: COCV PREPRINT, abstract 1214215910 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT