Abstract: "An algorithm is proposed for the solution of non-convex variational problems. In order to avoid representing highly oscillatory functions on a mesh, an associated Young measure, which characterizes such oscillations, is also approximated. Sample calculations demonstrate the viability of this approach.
AbstractWe study some numerical properties of a nonconvex variational problem which arises as the co...
We study some numerical properties of a nonconvex variational problem which arises as the continuous...
A numerical method is established to solve the problem of minimizing a nonquasiconvex potential ener...
ABSTRACT: An algorithm is proposed for the solution of non-convex variational problems. In order to ...
Abstract. This paper addresses the numerical approximation of Young measures appear-ing as generaliz...
The goal of this paper is to describe the oscillatory microstructure that can emerge from minimizing...
Abstract We propose a general method to determine the theoretical microstructure in one dimensional ...
Abstract: "Validity of the Young measure representation is useful in the study of microstructure of ...
Abstract: "An implementation of the stochastic gradient minimization method is proposed as a viable ...
We introduce a new concept, the Young measure on micro-patterns, to study singularly perturbed varia...
Abstract: The purpose of this work is to carry out the analysis of two-dimensional scalar variationa...
Various issues are addressed related to the computation of minimizers for variational problems. Spe...
Various issues axe addressed related to the computation of minimizers for variational problems. Spec...
Many problems in science can be formulated in the language of optimization theory, in which case an ...
We study some variational problems involving energy densities (functions that have to be minimized) ...
AbstractWe study some numerical properties of a nonconvex variational problem which arises as the co...
We study some numerical properties of a nonconvex variational problem which arises as the continuous...
A numerical method is established to solve the problem of minimizing a nonquasiconvex potential ener...
ABSTRACT: An algorithm is proposed for the solution of non-convex variational problems. In order to ...
Abstract. This paper addresses the numerical approximation of Young measures appear-ing as generaliz...
The goal of this paper is to describe the oscillatory microstructure that can emerge from minimizing...
Abstract We propose a general method to determine the theoretical microstructure in one dimensional ...
Abstract: "Validity of the Young measure representation is useful in the study of microstructure of ...
Abstract: "An implementation of the stochastic gradient minimization method is proposed as a viable ...
We introduce a new concept, the Young measure on micro-patterns, to study singularly perturbed varia...
Abstract: The purpose of this work is to carry out the analysis of two-dimensional scalar variationa...
Various issues are addressed related to the computation of minimizers for variational problems. Spe...
Various issues axe addressed related to the computation of minimizers for variational problems. Spec...
Many problems in science can be formulated in the language of optimization theory, in which case an ...
We study some variational problems involving energy densities (functions that have to be minimized) ...
AbstractWe study some numerical properties of a nonconvex variational problem which arises as the co...
We study some numerical properties of a nonconvex variational problem which arises as the continuous...
A numerical method is established to solve the problem of minimizing a nonquasiconvex potential ener...
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