Journal of Integral Equations and Applications

Boundary element methods for parabolic boundary control problems

Thanh Xuan Phan and Olaf Steinbach

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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.

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

First available in Project Euclid: 17 April 2014

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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.

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