In:
Computational Methods in Applied Mathematics, Walter de Gruyter GmbH, Vol. 11, No. 2 ( 2011), p. 214-240
Kurzfassung:
In this paper we consider a posteriori error estimates for space-time finite element
discretizations for optimal control of hyperbolic partial dierential equations of second order. It is an extension of Meidner and Vexler (2007), where optimal control problems of
parabolic equations are analyzed. The state equation is formulated as a first order system in time and a posteriori error estimates are derived separating the in uences of time, space,
and control discretization. Using this information the accuracy of the solution is improved by local mesh refinement. Numerical examples are presented. Finally, we analyze the
conservation of energy of the homogeneous wave equation with respect to dynamically in time changing spatial meshes.
Materialart:
Online-Ressource
ISSN:
1609-9389
,
1609-4840
DOI:
10.2478/cmam-2011-0012
Sprache:
Unbekannt
Verlag:
Walter de Gruyter GmbH
Publikationsdatum:
2011
