A Priori Error Analysis for the Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems

摘要: This article presents recent results of an a priori error analysis for the finite element approximation Dirichlet boundary control problems governed by elliptic partial differential equations. For standard model problem estimates are proven primal variable, control, as well associated adjoint variable. These optimal order with respect to solution’s regularity be expected on polygonal domains. The proofs rely Euler-Lagrange formulation and employ duality techniques optimal-order L p Ritz projection. improve corresponding in literature supported computational experiments. details contained [9].