Free and Moving Boundaries Analysis, Simulation and Control Lecture Notes in Pure and Applied Mathematics Series
Coordonnateurs : Glowinski Roland, Zolesio Jean-Paul
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.
Date de parution : 03-2018
17.8x25.4 cm
Date de parution : 06-2007
Ouvrage de 300 p.
17.8x25.4 cm
Thème de Free and Moving Boundaries :
Mots-clés :
Shape Derivatives; Optimal Control Problem; applied mathematics; Posteriori Error Estimator; Roland Glowinski; Oriented Distance Function; Geodesic metric; Cost Functionals; array antenna; Analytic Semigroups; computing zoom; Displacement Vector; Singular Estimate; Shape Gradient; Inverse Scattering Problem; Boundary Damping; Bounded Linear Operator; Shape Optimization Problem; Hilbert Space; Vice Versa; Speed Vector; Bolza Problem; Grating Lobe; Energy Functional; Sin 2φ; Gas Domain; Riemann Problem; Variational Inequality; Bounded Control Operators; Liquid Domain