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. © 2010 Springer -Verlag Berlin Heidelberg.
Optimization techniques for the computation of the effective Hamiltonian / Falcone, Maurizio; Marco, Rorro. - STAMPA. - (2010), pp. 225-236. [10.1007/978-3-642-12598-0_19].
Optimization techniques for the computation of the effective Hamiltonian
FALCONE, Maurizio;
2010
Abstract
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. © 2010 Springer -Verlag Berlin Heidelberg.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
