A class of convex non-coercive functionals and masonry-like materials
A class of generalized best approximation problems in locally convex linear topological spaces.
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
This work is concerned with the reformulation of evolutionary problems in a weak form enabling consideration of solutions that may exhibit evolving microstructures. This reformulation is accomplished by expressing the evolutionary problem in variational form, i.e., by identifying a functional whose minimizers represent entire trajectories of the system. The particular class of functionals under consideration is derived by first defining a sequence of time-discretized minimum problems and subsequently...
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
This work is concerned with the reformulation of evolutionary problems in a weak form enabling consideration of solutions that may exhibit evolving microstructures. This reformulation is accomplished by expressing the evolutionary problem in variational form, i.e., by identifying a functional whose minimizers represent entire trajectories of the system. The particular class of functionals under consideration is derived by first defining a sequence of time-discretized minimum problems and...
A class of nonlinear variational inequalities involving pseudomonotone operators.
A class of self-concordant functions on Riemannian manifolds.
A Class of Variational Problems with Linear Growth.
A classification of linear controllable systems
A classification of minimal cones in Rn x R+ and a counterexample to interior regularitiy of energy minimizing functions.
A collocation method for optimal control of linear systems with inequality constraints.
A compact variable metric algorithm for linearly constrained nonlinear minimax approximation
A compactness result for a second-order variational discrete model
We analyze a nonlinear discrete scheme depending on second-order finite differences. This is the two-dimensional analog of a scheme which in one dimension approximates a free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of the Mumford and Shah functional. In two dimension we give a compactness result showing that the continuous problem approximating this difference scheme is still defined on special functions with bounded hessian, and we give an upper and a lower...
A compactness result for a second-order variational discrete model
We analyze a nonlinear discrete scheme depending on second-order finite differences. This is the two-dimensional analog of a scheme which in one dimension approximates a free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of the Mumford and Shah functional. In two dimension we give a compactness result showing that the continuous problem approximating this difference scheme is still defined on special functions...
A comparative study on optimization methods for the constrained nonlinear programming problems.
A comparison of solvers for linear complementarity problems arising from large-scale masonry structures
We compare the numerical performance of several methods for solving the discrete contact problem arising from the finite element discretisation of elastic systems with numerous contact points. The problem is formulated as a variational inequality and discretised using piecewise quadratic finite elements on a triangulation of the domain. At the discrete level, the variational inequality is reformulated as a classical linear complementarity system. We compare several state-of-art algorithms that have...
A comparison principle for a class of subparabolic equations in Grushin-type spaces.
A complete characterization of invariant jointly rank-r convex quadratic forms and applications to composite materials
The theory of compensated compactness of Murat and Tartar links the algebraic condition of rank-r convexity with the analytic condition of weak lower semicontinuity. The former is an algebraic condition and therefore it is, in principle, very easy to use. However, in applications of this theory, the need for an efficient classification of rank-r convex forms arises. In the present paper, we define the concept of extremal 2-forms and characterize them in the rotationally invariant jointly...
A computational approach to fractures in crystal growth
In the present paper, we motivate and describe a numerical approach in order to detect the creation of fractures in a facet of a crystal evolving by anisotropic mean curvature. The result appears to be in accordance with the known examples of facet-breaking. Graphical simulations are included.
A conception of optimality for algorithms and its application to the optimal search for a minimum
A Constraint Linearization Method for Nondifferentiable Convex Minimization.