On the minimization of some nonconvex double obstacle problems.
On the nonlinear implicit complementarity problem.
On the notion of Jacobi fields in constrained calculus of variations
In variational calculus, the minimality of a given functional under arbitrary deformations with fixed end-points is established through an analysis of the so called second variation. In this paper, the argument is examined in the context of constrained variational calculus, assuming piecewise differentiable extremals, commonly referred to as extremaloids. The approach relies on the existence of a fully covariant representation of the second variation of the action functional, based on a family of...
On the Numerical Analysis of the Von Karman Equations : Mixed Finite Element Approximation and Continuation Techniques.
On the numerical solution of axisymmetric domain optimization problems
An axisymmetric second order elliptic problem with mixed boundarz conditions is considered. A part of the boundary has to be found so as to minimize one of four types of cost functionals. The numerical realization is presented in detail. The convergence of piecewise linear approximations is proved. Several numerical examples are given.
On the numerical solution of bound constrained optimization problems
On the numerical solution of optimal control problems with constraints
On the optimal setting of the -version of the finite element method
The goal of this contribution is to find the optimal finite element space for solving a particular boundary value problem in one spatial dimension. In other words, the optimal use of available degrees of freedom is sought after. This is done through optimizing both the mesh and the polynomial degree of the basis functions. The resulting combinatorial optimization problem is solved in parallel by a Matlab program running on a cluster of multi-core personal computers.
On the optimization of non periodic homogenized microstructures
On the optimum rational function connected with the ADI-method
On the Order of Convergence of Certain Quasi-Newton-Methods.
On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations.
On the penalty approximation of quadratic programming problem
On the rate of convergence of sequential unconstrained minimization techniques
On the Rate of Superlinear Convergence of a Class of Variable Metric Methods.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part II. Applications.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part I. Theory.
On the representation of trajectories of bilinear systems and its applications
On the set of weighted least squares solutions of systems of convex inequalities
On the Solution of Nonlinear Inequalities in a Finite Number of Iterations.