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Efficient Verification Tools for Reduced Derivatives Computed by a First‐Optimize‐Then‐Discretize Approach for Optimal Control Problems
Author(s) -
Clever Debora
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010280
Subject(s) - discretization , context (archaeology) , consistency (knowledge bases) , computer science , control (management) , grid , mathematical optimization , optimal control , discretization error , state (computer science) , algorithm , mathematics , artificial intelligence , mathematical analysis , paleontology , geometry , biology
We give an overview about several verification tools to study consistency between discrete optimization problem and discrete derivatives when using independent discretization schemes for state and adjoint systems within the context of optimal control problems. We present strategies that detect impreciseness within a considered quantity without any additional effort. They are therefore a suitable tool to control the grid refinement within a multilevel setting. More detailed tools are useful to verify the problem implementation and to analyze the quantities discretization error order. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)