Control and Boundary AnalysisJohn Cagnol, Jean-Paul Zolesio This volume comprises selected papers from the 21st Conference on System Modeling and Optimization in Sophia Antipolis, France. It covers over three decades of studies involving partial differential systems and equations. Topics include: the modeling of continuous mechanics involving fixed boundary, control theory, shape optimization and moving bou |
From inside the book
Results 1-5 of 38
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... Approximation Theory 84. S. Greco and G. Valla, Commutative Algebra 85. A. V. Fiacco, Mathematical Programming with Data Perturbations II 86. J.-B. Hiriart-Urruty et al., Optimization 87. A. Figa Talamanca and M. A. Picardello, Harmonic ...
... Approximation Theory 84. S. Greco and G. Valla, Commutative Algebra 85. A. V. Fiacco, Mathematical Programming with Data Perturbations II 86. J.-B. Hiriart-Urruty et al., Optimization 87. A. Figa Talamanca and M. A. Picardello, Harmonic ...
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... Approximation Theory 139. R. S. Rees , Graphs , Matrices , and Designs 140. G. Abrams et al . , Methods in Module Theory 141. G. L. Mullen and P. J.-S. Shiue , Finite Fields , Coding Theory , and Advances in Communications and Computing ...
... Approximation Theory 139. R. S. Rees , Graphs , Matrices , and Designs 140. G. Abrams et al . , Methods in Module Theory 141. G. L. Mullen and P. J.-S. Shiue , Finite Fields , Coding Theory , and Advances in Communications and Computing ...
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... Approximation for Constrained Shape Optimization Problems Karsten Eppler , Helmut Harbrecht 1 Shape Optimization 2 Optimization of Constrained Problems 3 Numerical Results 107 108 112 114 X. Mathematical Models of “ Active ” Obstacles ...
... Approximation for Constrained Shape Optimization Problems Karsten Eppler , Helmut Harbrecht 1 Shape Optimization 2 Optimization of Constrained Problems 3 Numerical Results 107 108 112 114 X. Mathematical Models of “ Active ” Obstacles ...
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... approximation of ( tn ) , Lie's scheme reads as follows ( for its derivation see , e.g. , [ 10 ] ( Chapter 6 ) ) : n For n ≥ 0 , assuming that or is known , we compute on + 1 via do + Aj ( 4 ) = 0 on ( tn , tn + 1 ) , dt φ ( tn ) = on ...
... approximation of ( tn ) , Lie's scheme reads as follows ( for its derivation see , e.g. , [ 10 ] ( Chapter 6 ) ) : n For n ≥ 0 , assuming that or is known , we compute on + 1 via do + Aj ( 4 ) = 0 on ( tn , tn + 1 ) , dt φ ( tn ) = on ...
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... approximations can be used to treat the various steps ; the only constraint is that two successive steps have to communicate ( by projection in general ) . 2.4 Numerical Experiments Generalities . The methods described in the above ...
... approximations can be used to treat the various steps ; the only constraint is that two successive steps have to communicate ( by projection in general ) . 2.4 Numerical Experiments Generalities . The methods described in the above ...
Contents
1 | |
DYNAMICAL SHAPE SENSITIVITY | 29 |
OPTIMAL CONTROL OF A STRUCTURAL ACOUSTIC MODEL WITH FLEXIBLE CURVED WALLS | 37 |
NONLINEAR WAVE EQUATIONS WITH DEGENERATE DAMPING AND SOURCE TERMS | 53 |
NUMERICAL MODELING OF PHASE CHANGE PROBLEMS | 63 |
SHAPE OPTIMIZATION OF FREE AIRPOROUS MEDIA TRANSMISSION COEFFICIENT | 73 |
THE UNIFORM FAT SEGMENT AND CUSP PROPERTIES IN SHAPE OPTIMIZATION | 85 |
TOPOLOGY OPTIMIZATION FOR UNILATERAL PROBLEMS | 97 |
EVOLUTION HEMIVARIATIONAL INEQUALITY WITH HYSTERESIS AND OPTIMAL CONTROL PROBLEM | 157 |
ON THE MODELING AND CONTROL OF DELAMINATION PROCESSES | 169 |
ON A SPECTRAL VARIATIONAL PROBLEM ARISING IN THE STUDY OF EARTHQUAKES | 189 |
NODAL CONTROL OF CONSERVATION LAWS ON NETWORKS | 201 |
INVARIANCE OF CLOSED SETS UNDER STOCHASTIC CONTROL SYSTEMS | 217 |
UNIFORM STABILIZATION OF AN ANISOTROPIC SYSTEM OF THERMOELASTICITY | 231 |
SEMIGROUP WELLPOSEDNESS OF A MULTILAYER MEADMARKUS PLATE WITH SHEAR DAMPING | 243 |
SOLUTION OF ALGEBRAIC RICCATI EQUATIONS ARISING IN CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS | 257 |
SECOND ORDER LAGRANGE MULTIPLIER APPROXIMATION FOR CONSTRAINED SHAPE OPTIMIZATION PROBLEMS | 107 |
MATHEMATICAL MODELS OF ACTIVE OBSTACLES IN ACOUSTIC SCATTERING | 119 |
LOCAL NULL CONTROLLABILITY IN A STATE CONSTRAINED THERMOELASTIC CONTACT PROBLEM | 131 |
ON SENSITIVITY OF OPTIMAL SOLUTIONS TO CONTROL PROBLEMS FOR HYPERBOLIC HEMIVARIATIONAL INEQUALITIES | 145 |
STABILIZATION IN COMPUTING SADDLE POINTS | 281 |
SECOND ORDER SUFFICIENT CONDITIONS FOR OPTIMAL CONTROL SUBJECT TO FIRST ORDER STATE CONSTRAINTS | 293 |
Index | 305 |
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Common terms and phrases
acoustic adjoint Algebras algorithm Anal Analysis anisotropic Applications approximation assume Banach space boundary conditions boundary value problem bounded computation consider constraints convergence convex cost functional damping defined delamination denote derivative domain dxdt eigenvalues elastic energy exists finite formulation ghost obstacle global hemivariational inequalities hyperbolic initial iterations Lagrange multiplier Lagrangian Lasiecka Lemma linear Lipschitz Lyapunov Lyapunov equation Math Mathematics matrix method Newton-Kleinman node conditions nonlinear null controllability numerical operator operator-splitting optimal control optimal control problem optimality conditions parameters Partial Differential Equations perturbation proof Riccati equation saddle point satisfies second order Section semigroup sequence shape optimization shell shell model SIAM solution solve stochastic test problem Theorem Theory thermoelastic topology variable variational inequality vector wave equation Zolésio ΘΩ Ωτ
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