We investigate finite element approximations of one-dimensional elliptic control problems. For semidiscretizations and full discretizations with piecewise constant controls we derive error estimates in the maximum norm.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1073, author = {Walter Alt and Nils Br\"autigam and Arnd R\"osch}, title = {Error estimates for finite element approximations of elliptic control problems}, journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization}, volume = {27}, year = {2007}, pages = {7-22}, zbl = {1191.49035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1073} }
Walter Alt; Nils Bräutigam; Arnd Rösch. Error estimates for finite element approximations of elliptic control problems. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 27 (2007) pp. 7-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1073/
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