Free and Moving Boundaries: Analysis, Simulation and Control

by Glowinski; Roland

• ISBN13: 9781584886068
• ISBN10: 1584886064
• Edition: 1st
• Format: Nonspecific Binding
• Copyright: 2007-06-06
• Publisher: Chapman & Hall/

Summary

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. With contributions from international experts, the book emphasizes numerical and theoretical control of moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, family of moving geometries, and boundary control.Using numerical analysis, the contributors examine the problems of optimal control theory applied to partial differential equations arising from continuum mechanics. The book presents several applications to electromagnetic devices, flow, control, computing, images analysis, topological changes, and free boundaries. It specifically focuses on the topics of boundary variation and control, dynamical control of geometry, optimization, free boundary problems, stabilization of structures, controlling fluid-structure devices, electromagnetism 3D, and inverse problems arising in areas such as biomathematics.Free and Moving Boundaries: Analysis, Simulation and Control explains why the boundary control of physical systems can be viewed as a moving boundary control, empowering the future research of select algebraic areas.

Table of Contents

Optimal tubes: Geodesic metric, Euler flow, and moving domain	p. 1
Numerical simulation of pattern formation in a rotating suspension of non-Brownian settling particles	p. 37
On the homogenization of optimal control problems on periodic graphs	p. 55
Lift and sedimentation of particles in the flow of a viscoelastic liquid in a channel	p. 75
Modeling and simulation of liquid-gas free surface flows	p. 111
Transonic regular reflection for the unsteady transonic small disturbance equation-details of the subsonic solution	p. 125
Shape optimization for 3D electrical impedance tomography	p. 165
Analysis for the shape gradient in inverse scattering	p. 185
Array antenna optimization	p. 203
The Stokes basis for three-dimensional incompressible flow fields	p. 215
Nonlinear aeroelasticity, continuum theory, flutter/divergence speed, plate wing model	p. 223
Differential Riccati equations for the Bolza problem associated with point boundary control of singular estimate control systems	p. 245
Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms-an intrinsic approach	p. 263
Electromagnetic 3D reconstruction by level set with zero capacity connecting sets	p. 281
Shape and geometric methods in image processing	p. 293
Topological derivatives for contact problems	p. 309
The computing zoom	p. 321
An optimization approach for the delamination of a composite material with nonpenetration	p. 331
Adaptive refinement techniques in homogenization design method	p. 349
Nonlinear stability of the flat-surface state in a Faraday experiment	p. 363
A dynamic programming approach in Hilbert spaces for a family of applied delay optimal control problems	p. 375
A posteriori error estimates of recovery type for parameter estimation problem in linear elastic problem	p. 395
Tube derivative of noncylindrical shape functionals and variational formulations	p. 411
A stochastic Riccati equation for a hyperbolic-like system with point and boundary control	p. 443
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