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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Optimization techniques for the computation of the effective Hamiltonian
verfasst von : Maurizio Falcone, Marco Rorro
Erschienen in: Recent Advances in Optimization and its Applications in Engineering
Verlag: Springer Berlin Heidelberg
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In this paper we examine the numerical efficiency and effectiveness of some algorithms proposed for the computation of the effective Hamiltonian, a classical problem arising e.g. in weak KAM theory and homogenization. In particular, we will focus our attention on the performances of an algorithm of direct constrained minimization based on the SPG (Spectral Projected Gradient) algorithm proposed in [3, 4]. We will apply this method to the minimization of a functional proposed by C. Evans in [9] and we will compare the results with other methods.