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Authors:
Rogovs, Sergejs 
Document type:
Dissertation / Thesis 
Title:
Pointwise Error Estimates for Boundary Control Problems on Polygonal Domains 
Advisor:
Apel, Thomas, Univ.-Prof. Dr. 
Referee:
Apel, Thomas, Univ.-Prof. Dr.; Steinbach, Olaf, Univ.-Prof. Dr.; Leykekhman, Dmitriy, assoc. Prof. Dr. 
Date oral examination:
25.06.2018 
Publication date:
03.07.2019 
Year:
2019 
Language:
Englisch 
Subject:
Randwertproblem ; Neumann-Problem ; Dirichlet-Problem ; Diskretisierung ; Numerische Mathematik ; Fehlerabschätzung ; Finite-Elemente-Methode ; Experiment ; Numerisches Verfahren ; Hochschulschrift 
Keywords:
Neumann boundary value problem, Dirichlet boundary value problem, Neumann control problem, Dirichlet control problem, finite element method, pointwise error estimates, control constraints, partial differential equations, corner singularities, weighted Sobolev spaces, quasi-uniform meshes, mesh refinement, postprocessing, concept of variational discretization 
Abstract:
This thesis deals with pointwise error estimates for finite element discretizations of boundary control problems on general polygonal domains, namely, the Neumann control problem and the Dirichlet control problem with constant control constraints. In order to show the quasi-optimal convergence rate h²|ln h| in the L∞-Norm for the discretizations of the Neumann control problem, first, this rate is derived for the piecewise linear discretization of the Neumann boundary value problems. We achieve t...    »
 
DDC notation:
515.35 
Department:
Fakultät für Bauingenieurwesen und Umweltwissenschaften 
Institute:
BAU 1 - Institut für Mathematik und Computergestützte Simulation 
Chair:
Apel, Thomas 
Open Access yes or no?:
Ja / Yes