This paper presents the implementation of a variational formulation of brittle fracture mechanics proposed by G.A. Francfort and J.-J. Marigo in 1998. The essence of the model relies on successive global minimizations of an energy with respect to any crack set and any kinematically admissible displacement field. We briefly present the model itself, and its variational approximation in the sense...

Information criteria have been popularly used in model selection and proved to possess nice theoretical properties. For classification, Claeskens et al. (2008) proposed support vector machine information criterion for feature selection and provided encouraging numerical evidence. Yet no theoretical justification was given there. This work aims to fill the gap and to provide some theoretical jus...

AbstructIn this letter, the Nash equilibrium point for optimum flow control in noncooperative multiclass environment is studied. Convergence properties of synchronous and asynchronous greedy algorithms are investigated in the case where several users compete for the resources of a single queue using power as their performance criterion. The main contributions of this letter consist of the proof...

This article proposes constrained adaptive algorithms based on the conjugate gradient (CG) method for adaptive beamforming. The proposed algorithms are derived for the implementation of the beamformer according to the minimum variance and constant modulus criteria subject to a constraint on the array response. A CG-based weight vector strategy is created for enforcing the constraint and computi...