Optimal control under reduced regularity

• Autores: Thomas Apel, Gunter Winkler
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 59, Nº. 9, 2009, págs. 2050-2064
• Idioma: inglés
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• Resumen

  • This paper deals with a linear quadratic optimal control problem with elliptic PDE constraints in three-dimensional domains with singularities. It is proved that the optimal control can be calculated by the finite element method at a rate of O(h2) provided that the mesh is sufficiently graded. The approximation of this control is computed from a piecewise constant approximation followed by a postprocessing step. Although the results are similar to the two-dimensional case, the proofs changed significantly.