Boundary element methods for parabolic boundary control problems

Thanh Xuan Phan, Olaf Steinbach

Research output: Contribution to journalArticlepeer-review


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
Original languageEnglish
Pages (from-to)53-90
JournalJournal of Integral Equations and Applications
Issue number1
Publication statusPublished - 2014

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)


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