Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Neural Networks for Optimization and Signal Processing
Neural Networks for Optimization and Signal Processing
| Hi-index | 0.00 |
The paper addresses the solution of interface problems which present a degrading behaviour leading to nonmonotone contact and friction laws. The paper is based on a superpotential formulation that leads to hemivariational inequalities, or, equivalently to nonconvex-nonsmooth optimization problems. The above problems are addressed with a heuristic method which effectively replaces the nonconvex nonsmooth optimization problem by a sequence of quadratic programming problems with inequality constraints. Then, the quadratic optimization problems are transformed into a system of differential equations, which are treated numerically with an appropriate neural network. Finally, a numerical example illustrates the properties of the proposed algorithmic scheme.