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- W2900538901 abstract "We consider the finite element discretization of an optimal Dirichlet boundary control problem for the Laplacian, where the control is considered in $H^{1/2}(Gamma)$. To avoid computing the latter norm numerically, we realize it using the $H^{1}(Omega)$ norm of the harmonic extension of the control. We propose a mixed finite element discretization, where the harmonicity of the solution is included by a Lagrangian multiplier. In the case of convex polygonal domains, optimal error estimates in the $H^1$ and $L^2$ norm are proven. We also consider and analyze the case of control constrained problems." @default.
- W2900538901 created "2018-11-29" @default.
- W2900538901 creator A5022638379 @default.
- W2900538901 date "2018-11-22" @default.
- W2900538901 modified "2023-09-27" @default.
- W2900538901 title "A finite element method for elliptic Dirichlet boundary control problems" @default.
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