Free and Moving Boundaries: Analysis, Simulation and ControlRoland Glowinski, Jean-Paul Zolesio Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of mo |
Contents
| 1 | |
CHAPTER 2 Numerical simulation of pattern formation in a rotating suspension of nonBrowniam settling particles | 37 |
CHAPTER 3 On the homogenization of optimal control problems on periodic graphs | 55 |
CHAPTER 4 Lift and sedimentation of particles in the flow of a viscoelastic liquid in a channel | 75 |
CHAPTER 5 Modeling and simulation of liquidgas free surface flows | 111 |
CHAPTER 6 Transonic regular reflection for the unsteady transonic small disturbance equationdetails of the subsonic solution | 125 |
CHAPTER 7 Shape optimization for 3D electrical impedance tomography | 165 |
CHAPTER 8 Analysis for the shape gradient in inverse scattering | 185 |
CHAPTER 14 Electromagnetic 3D reconstruction by level set with zero capacity connecting sets | 281 |
CHAPTER 15 Shape and geometric methods in image processing | 293 |
CHAPTER 16 Topological derivatives for contact problems | 309 |
CHAPTER 17 The computing zoom | 321 |
CHAPTER 18 An optimization approach for the delamination of a composite material with nonpenetration | 331 |
CHAPTER 19 Adaptive refinement techniques in homogenization design method | 349 |
CHAPTER 2O Nonlinear stability of the flatsurface state in a Faraday experiment | 363 |
CHAPTER 21 A dynamic programming approach in Hilbert spaces for a family of applied delay optimal control problems | 375 |
CHAPTER 9 Array antenna optimization | 203 |
CHAPTER 10 The Stokes basis for threedimensional incompressible flow fields | 215 |
CHAPTER 11 Nonlinear aerolasticity continuum theory flutterdivergence speed plate wing model | 223 |
CHAPTER 12 Differential Riccati equations for the Bolza problem associated with point boundary control of singular estimate control systems | 245 |
CHAPTER 13 Energy decay rates for the semiliear wave equation with nonlinear localized damping and source termsan intrinsic approach | 263 |
CHAPTER 22 A posteriori error estimates of recovery type for a parameter estimation problem in a linear elastic problem | 395 |
CHAPTER 23 Tube derivative of noncylindrical shape functionals and variational formulations | 411 |
CHAPTER 24 A stochastic Riccati equation for a hyperboliclike system with point and boundary control | 443 |
Back cover | 455 |
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Free and Moving Boundaries: Analysis, Simulation and Control Roland Glowinski,Jean-Paul Zolesio No preview available - 2007 |
Common terms and phrases
adjoint algorithm analysis Applied assume assumption boundary conditions boundary value problem bounded bubble computed consider constant convergence crack curlu curve cylinder damping decay rates defined denote Department of Mathematics depends Dirichlet domain Q elasticity elliptic energy equilibrium exists Figure finite element finite element method flow fluid formulation free boundary function geometry given Hilbert space homogenization inequality integral interface Lemma linear liquid mapping Math mean curvature Mech mesh minimization nonlinear normal numerical obtain open set optimal control optimal control problem parameter partial differential equations particle positive posteriori error estimator proof respect Riccati equation satisfies Section semigroup sequence shape derivative shape gradient shape optimization singular estimate smooth Sokolowski solve space sphere structure surface term Theorem 3.1 theory topological derivative transonic tube unique solution vector field velocity viscoelastic zero Zolésio
Popular passages
Page 54 - A package of Fortran subprograms for the solution of separable elliptic partial differential equations, The National Center for Atmospheric Research, Boulder, CO, 1980.