On a class of constrained boundary control problems treated with a lifting function approach

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Abstract

In this work we consider an abstract class of constrained boundary optimal control problems in which the boundary control is realized with a lifting function approach. The choice of this formulation provides several advantages from both theoretical and computational points of view which are discussed. In particular, this approach avoids any mismatch between the regularity of the boundary control and that of the trace of the corresponding state variable. Two applications of multiphysics optimal control problems that fit within the proposed abstract framework are presented.

Original languageEnglish
Title of host publication11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Pages879-882
Number of pages4
DOIs
StatePublished - 2013
Event11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 - Rhodes, Greece
Duration: Sep 21 2013Sep 27 2013

Publication series

NameAIP Conference Proceedings
Volume1558
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
CountryGreece
CityRhodes
Period09/21/1309/27/13

Keywords

  • Magnetohydrodynamics
  • Navier-Stokes equations
  • PDE-constrained optimization
  • boundary optimal control
  • multiphysics

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