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Browsing by Author "Münch, Arnaud"
Now showing items 1-11 of 11
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Article
A mixed formulation for the direct approximation of L2-weighted controls for the linear heat equation
Münch, Arnaud; Araujo de Souza, Diego (Springer, 2016-02)This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute ...
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Article
A spatio-temporal design problem for a damped wave equation
Maestre Caballero, Faustino; Münch, Arnaud; Pedregal Tercero, Pablo (Society for Industrial and Applied Mathematics, 2007)We analyze in this work a spatio-temporal optimal design problem governed by a linear damped one-dimensional wave equation. ...
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Article
Approximation of null controls for semilinear heat equations using a least-squares approach
Lemoine, Jérôme; Marín Gayte, Irene; Münch, Arnaud (E.D.P. Sciences, 2021-05-03) -
Article
Numerical controllability of the wave equation through primal methods and Carleman estimates
Cindea, Nicolae; Fernández Cara, Enrique; Münch, Arnaud (EDP Sciences, 2013)This paper deals with the numerical computation of boundary null controls for the 1D wave equation with a potential. The ...
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Article
Numerical null controllability of a semi-linear heat equation via a least squares method
Fernández Cara, Enrique; Münch, Arnaud (Elsevier, 2011-08)This note deals with the computation of distributed null controls for a semi-linear 1D heat equation, in the sublinear and ...
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Article
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
Fernández Cara, Enrique; Münch, Arnaud (American Institute of Mathematical Sciences, 2012-09)This paper deals with the numerical computation of distributed null controls for semilinear 1D heat equations, in the ...
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Article
On the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations
Fernández Cara, Enrique; Münch, Arnaud; Araujo de Souza, Diego (Springer, 2016)The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional ...
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Article
Optimal design under the one-dimensional wave equation
Maestre Caballero, Faustino; Münch, Arnaud; Pedregal Tercero, Pablo (European Mathematical Society, 2008)An optimal design problem governed by the wave equation is examined in detail. Specifically, we seek the time-dependent ...
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Presentation
Optimal internal stabilization of the linear system of elasticity
Münch, Arnaud; Pedregal Tercero, Pablo; Periago Esparza, Francisco (2007-09)We consider the nonlinear optimal design problem which consists in finding the best position and shape of the internal ...
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Presentation
Un problema de control en los coeficientes para la ecuación de ondas con un actuador
Maestre Caballero, Faustino; Münch, Arnaud; Pedregal Tercero, Pablo (2007-09)Analizaremos un problema de diseño óptimo bidimensional gobernado por una ecuación de ondas con un actuador. El problema ...
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Presentation
Some recent results concerning the theoretical and numerical controllability of PDEs
Fernández Cara, Enrique; Münch, Arnaud; Araujo de Souza, Diego; Dias Araruna, Fágner; Cardoso Santos, Mauricio; Limaco Ferrel, Juan; Dias Bezerra de Menezes, Silvano (2014)