Finite Element Approximation of 2D Parabolic Optimal Design Problems

Miguel Cea () and Enrique Zuazua ()
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Miguel Cea: Universidad Autónoma de Madrid, Departamento de Matemáticas, Facultad de Ciencias
Enrique Zuazua: Universidad Autónoma de Madrid, Departamento de Matemáticas, Facultad de Ciencias

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 151-176 from Springer

Abstract: Abstract In this paper we consider a problem of parabolic optimal design in 2D for the heat equation with Dirichlet boundary conditions. We introduce a finite element discrete version of this problem in which the domains under consideration are polygons defined on the numerical mesh. The discrete optimal design problem admits at least one solution.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_9

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DOI: 10.1007/978-3-540-34288-5_9

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