Free and Moving Boundaries: Analysis, Simulation and Control

ISBN-13: 9781138442641 / Angielski / Twarda / 2018

Roland Glowinski

Opis

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 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 PDEs 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.

Spis treści

Optimal Tubes: Geodesic Metric, Euler Flow, Moving Domain. Numerical Simulation of Pattern Formation in a Rotating Suspension of Non-Brownian Settling Particles. On the Homogenization of Optimal Control Problems on Periodic Graphs. Lift and Sedimentation of Particles in the Flow of a Viscoelastic Liquid in a Channel. Modeling and Simulation of Liquid-Gas Free Surface Flows. Transonic Regular Reflection for the Unsteady Transonic Small Disturbance Equation Detail of the Subsonic Solution. Shape Optimization for 3D Electrical Impedance Tomography. Analysis of the Shape Gradient in Inverse Scattering. Array Antenna Optimization. The Stokes Basis for 3D Incompressible Flow Fields. Nonlinear Aeroelasticity: Continuum Theory-Flutter/Divergence Speed, Plate Wing Model. Differential Riccati Equations for the Bolza Problem Associated with Point Boundary Control of Singular Estimate Control Systems. Energy Decay Rates for the Semilinear Wave Equation with Nonlinear Localized Damping and Source Terms-An Intrinsic Approach. Electromagnetic 3D Reconstruction by Level-Set with Zero Capacity Connecting Sets. Shape and Geometric Methods in Image Processing. Topological Derivatives for Contact Problems. The Computing Zoom. An Optimization Approach for the Delamination of a Composite Material with Non-Penetration. Adaptive Refinement Techniques in Homogenization Design Method. Nonlinear Stability of the Flat-Surface State in Faraday Experiment. A Dynamical Programming Approach in Hilbert Spaces for a Family of Applied Delay Optimal Control Problems. A Posteriori Error Estimates of Recovery Type for Parameter Estimation Problem in Linear Elastic Problem. Tube Derivative of Non-Cylindrical Shape Functionals and Variational Formulations.A Stochastic Riccati Equation for a Hyperbolic-Like System with Point and/or Boundary Control.

O autorze

Roland Glowinski, Jean-Paul Zolesio