Artikel
A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems
In this paper we apply an augmented Lagrange method to a class of semilinear elliptic optimal control problems with pointwise state constraints. We show strong convergence of subsequences of the primal variables to a local solution of the original problem as well as weak convergence of the adjoint states and weak-* convergence of the multipliers associated to the state constraint. Moreover, we show existence of stationary points in arbitrary small neighborhoods of local solutions of the original problem. Additionally, various numerical results are presented.
- Sprache
-
Englisch
- Erschienen in
-
Journal: Computational Optimization and Applications ; ISSN: 1573-2894 ; Volume: 77 ; Year: 2020 ; Issue: 3 ; Pages: 831-869 ; New York, NY: Springer US
- Klassifikation
-
Mathematik
Business Economics: General
Basic Areas of Law: General (Constitutional Law)
Multiple or Simultaneous Equation Models; Multiple Variables: General
- Thema
-
Optimal control
Semilinear elliptic operators
State constraints
Augmented Lagrange method
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Karl, Veronika
Neitzel, Ira
Wachsmuth, Daniel
- Ereignis
-
Veröffentlichung
- (wer)
-
Springer US
- (wo)
-
New York, NY
- (wann)
-
2020
- DOI
-
doi:10.1007/s10589-020-00223-w
- Letzte Aktualisierung
-
10.03.2025, 11:42 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Artikel
Beteiligte
- Karl, Veronika
- Neitzel, Ira
- Wachsmuth, Daniel
- Springer US
Entstanden
- 2020
Ähnliche Objekte (12)
Transportation infrastructure geotechnology
Journal of failure analysis and prevention : JFAP
High temperature corrosion of materials
Discover nano
Review journal of autism and developmental disorders
High entropy alloys & materials
Metallography, microstructure, and analysis : application and innovation for metals, alloys, and engineered materials
Abdominal radiology
A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems
A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems
Political inequality, political participation, and support for populist parties
Crowdfunding a monthly income: an analysis of the membership platform Patreon
Transportation infrastructure geotechnology
Journal of failure analysis and prevention : JFAP
High temperature corrosion of materials
Discover nano
Review journal of autism and developmental disorders
High entropy alloys & materials
Metallography, microstructure, and analysis : application and innovation for metals, alloys, and engineered materials
Abdominal radiology
A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems
A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems
Political inequality, political participation, and support for populist parties
Crowdfunding a monthly income: an analysis of the membership platform Patreon
Transportation infrastructure geotechnology
Journal of failure analysis and prevention : JFAP
High temperature corrosion of materials
Discover nano
Review journal of autism and developmental disorders
High entropy alloys & materials
Metallography, microstructure, and analysis : application and innovation for metals, alloys, and engineered materials
Abdominal radiology
A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems
A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems
Political inequality, political participation, and support for populist parties