Abstract
We study a Dirichlet boundary control problem of the Poisson equation where the Dirichlet control is considered in the energy space H 1∕2(Γ). Both, finite and boundary element approximations of the minimal solution are presented. We state the unique solvability of both approaches, as well as the stability and error estimates. The numerical example is in good agreement with the theoretical results.
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Of, G., Phan, T.X., Steinbach, O. (2012). Finite and Boundary Element Energy Approximations of Dirichlet Control Problems. In: Bock, H., Hoang, X., Rannacher, R., Schlöder, J. (eds) Modeling, Simulation and Optimization of Complex Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25707-0_18
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DOI: https://doi.org/10.1007/978-3-642-25707-0_18
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Online ISBN: 978-3-642-25707-0
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