Adaptive finite elements for elliptic optimization problems with control constraints

B. Vexler, W. Wollner

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

77 Zitate (Scopus)

Abstract

In this paper we develop a posteriori error estimates for finite element discretization of elliptic optimization problems with pointwise inequality constraints on the control variable. We derive error estimators for assessing the discretization error with respect to the cost functional as well as with respect to a given quantity of interest. These error estimators provide quantitative information about the discretization error and guide an adaptive mesh refinement algorithm allowing for substantial saving in degrees of freedom. The behavior of the method is demonstrated on numerical examples.

OriginalspracheEnglisch
Seiten (von - bis)509-534
Seitenumfang26
FachzeitschriftSIAM Journal on Control and Optimization
Jahrgang47
Ausgabenummer1
DOIs
PublikationsstatusVeröffentlicht - 2008
Extern publiziertJa

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