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Erschienen in:
2016 | OriginalPaper | Buchkapitel
5. Simulation
verfasst von : Pablo Pedregal
Erschienen in: Optimal Design through the Sub-Relaxation Method
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Abstract
Once optimality conditions, for the relaxed version of the problem, have been worked out and understood, the next natural step is to deal with numerical simulation in order to test to what extent our analysis can be helpful to produce, at least in some examples, true minimizing sequences. This chapter focuses on this important task. Our contribution here is rather modest. A full numerical and computational treatment would be required to fully exploit this point of view for numerical simulation in more realistic circumstances. We just set to ourselves the task to illustrate, in some simplified situations, how the analytical ideas behind the sub relaxation method may be applied for the numerical approximation. A much more rigorous and systematic study ought to be performed in this regard by someone with a firm background on computational issues that the author of this text cannot claim to have.