Abstract
Applying the line method approximation to a parabolic boundary control problem a sequence of ordinary control problems is generated. It is shown that the line method is a consistent and stable discretization. The convergence of the extreme values of the ordinary control problems to the extreme value of the parabolic control problem is proved.Finally, error estimations are given.
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© 1976 Springer-Verlag Berlin · Heidelberg
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Köhler, M. (1976). Approximation of a Parabolic Boundary Control Problem by the Line Method. In: Oettli, W., Ritter, K. (eds) Optimization and Operations Research. Lecture Notes in Economics and Mathematical Systems, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46329-7_13
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DOI: https://doi.org/10.1007/978-3-642-46329-7_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07616-2
Online ISBN: 978-3-642-46329-7
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