Optimum damping design for an abstract wave equation
Fariba Fahroo, Kazufumi Ito (1996)
Kybernetika
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Fariba Fahroo, Kazufumi Ito (1996)
Kybernetika
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Martin Bendsøe, Erik Lund, Niels Olhoff, Ole Sigmund (2005)
Control and Cybernetics
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Rudolf Rabenstein, Stefan Petrausch (2008)
International Journal of Applied Mathematics and Computer Science
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Block-based physical modeling is a methodology for modeling physical systems with different subsystems. Each subsystem may be modeled according to a different paradigm. Connecting systems of diverse nature in the discrete-time domain requires a unified interconnection strategy. Such a strategy is provided by the well-known wave digital principle, which had been introduced initially for the design of digital filters. It serves as a starting point for the more general idea of blockbased...
Parkes, E.John (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Rémi Sentis (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we...
Rémi Tailleux (2002)
Annales mathématiques Blaise Pascal
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Arnaud Münch (2009)
International Journal of Applied Mathematics and Computer Science
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We consider a linear damped wave equation defined on a two-dimensional domain Ω, with a dissipative term localized in a subset ω. We address the shape design problem which consists in optimizing the shape of ω in order to minimize the energy of the system at a given time T . By introducing an adjoint problem, we first obtain explicitly the (shape) derivative of the energy at time T with respect to the variation in ω. Expressed as a boundary integral on ∂ω, this derivative is then used...
Sathyaprakash, B.S., Schutz, Bernard F. (2009)
Living Reviews in Relativity [electronic only]
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