Function space interior point methods for PDE constrained optimization

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Weiser, Martin ; Schiela, Anton:
Function space interior point methods for PDE constrained optimization.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 4 (2004) Issue 1 . - pp. 43-46.
ISSN 1617-7061
DOI: https://doi.org/10.1002/pamm.200410011

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A primal-dual interior point method for optimal control problems with PDE constraints is considered. The algorithm is directly applied to the infinite dimensional problem. Existence and convergence of the central path are analyzed. Numerical results from an inexact continuation method applied to a model problem are shown.