Journal of Integral Equations and Applications

Boundary element methods for parabolic boundary control problems

Abstract

In this paper we analyze constrained optimal Dirichlet boundary control problems subject to the linear heat equation. We propose using boundary integral equations to solve the coupled optimality system, and we present results on unique solvability and related a~priori error estimates for a symmetric Galerkin boundary element method. A numerical example confirms the analytical results.

Article information

Source
J. Integral Equations Applications, Volume 26, Number 1 (2014), 53-90.

Dates
First available in Project Euclid: 17 April 2014

https://projecteuclid.org/euclid.jiea/1397764954

Digital Object Identifier
doi:10.1216/JIE-2014-26-1-53

Mathematical Reviews number (MathSciNet)
MR3195115

Zentralblatt MATH identifier
1288.65135

Citation

Phan, Thanh Xuan; Steinbach, Olaf. Boundary element methods for parabolic boundary control problems. J. Integral Equations Applications 26 (2014), no. 1, 53--90. doi:10.1216/JIE-2014-26-1-53. https://projecteuclid.org/euclid.jiea/1397764954

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