Optimal Internal Dissipation of a Damped Wave Equation Using a Topological Approach

Authors:
Arnaud MüNch
Affiliations:
Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, UMR CNRS 6623, 16, route de Gray, 25030 Besançon, France
Venue:
International Journal of Applied Mathematics and Computer Science
Year:
2009

Citing 9
Cited 0

Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Journal of Computational Physics
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary

SIAM Journal on Control and Optimization
Optimizing the Rate of Decay of Solutions of the Wave Equation Using Genetic Algorithms: A Counterexample to the Constant Damping Conjecture

SIAM Journal on Control and Optimization
On the Topological Derivative in Shape Optimization

SIAM Journal on Control and Optimization
Shapes and geometries: analysis, differential calculus, and optimization

Shapes and geometries: analysis, differential calculus, and optimization
Achieving Arbitrarily Large Decay in the Damped Wave Equation

SIAM Journal on Control and Optimization
Structural optimization using sensitivity analysis and a level-set method

Journal of Computational Physics
A Spillover Phenomenon in the Optimal Location of Actuators

SIAM Journal on Control and Optimization
Level set method with topological derivatives in shape optimization

International Journal of Computer Mathematics - INNOVATIVE ALGORITHMS IN SCIENCE AND ENGINEERING

Quantified Score

Hi-index	0.00

Visualization

Abstract

The purpose of this short paper is to provide original results related to the choice of the number of sensors and their supports for general distributed parameter systems. We introduce the notion of extended sensors and we show that the observation error ...