Finite and Boundary Element Energy Approximations of Dirichlet Control Problems

Günther Of (), Thanh Xuan Phan () and Olaf Steinbach ()
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Günther Of: Graz University of Technology, Institute of Computational Mathematics
Thanh Xuan Phan: Graz University of Technology, Institute of Computational Mathematics
Olaf Steinbach: Graz University of Technology, Institute of Computational Mathematics

A chapter in Modeling, Simulation and Optimization of Complex Processes, 2012, pp 219-231 from Springer

Abstract: 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.

Keywords: Boundary Element; Boundary Element Method; Boundary Integral Equation; Element Approximation; Boundary Integral Operator (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25707-0_18

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DOI: 10.1007/978-3-642-25707-0_18

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