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Finite and Boundary Element Energy Approximations of Dirichlet Control Problems

  • Günther Of
  • Thanh Xuan Phan
  • Olaf Steinbach
Conference paper

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institute of Computational MathematicsGraz University of TechnologyGrazAustria

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