A new method for implicit integration of the Mohr-Coulomb non-smooth multisurface plasticity models is presented, and Koiter’s requirements are incorporated exactly within proposed algorithm. Algorithmic numerical complexities identified introduced by nonsmooth intersections surfaces; then, a projection contraction algorithm applied to solve classical Kuhn–Tucker complementary equations which p...

In this paper, a method for establishing a support criterion or poverty line is developed based on Engel’s Law and domestic nutritional values. The support criterion is differentiated across rural and urban areas. An important result is that for 1989, people who spend less than 108,000 Rials annually lie inside the poverty line in urban areas. A further important result is that food should be g...

DIRECT is a sample-based global optimisation method for Lipschitz continuous functions defined over compact multidimensional domains. This paper adapts the DIRECT method with a modified termination criterion for global extremum seeking control of multivariable dynamical plants. Finite-time semi-global practical convergence is established based on a periodic sampled-data control law, whose sampl...

In this paper, we propose a trust region filter method for minimax problems. Based on the filter technique, the minimax problem is transformed to a constrained optimization problem and solved by the traditional filter idea. In the presented algorithm, the acceptable criterion of the trial points is relaxed, so compared to the existed SQP and Newton-type methods for minimax method, this method i...

The application of the genetic algorithm to the approximation of nonlinear transfer functions is considered. It is shown that the GA approximation method gives better accuracy than the classical Chebyshev approximation, which is sometimes considered to be the best available method for the minimax criterion. Other advantages of the proposed method include the ability to carry out a global search...

When computing global illumination in environments made up of surfaces with general Bidirectional Reflection Distribution Function, a three point formulation of the rendering equation can be used. Brute-force algorithms can lead to a linear system of equations whose matrix is cubic, which is expensive in time and space. The hierarchical approach is more efficient. Aupperle et al. proposed a hie...

This paper presents a fast algorithm for global motion estimation based on Iterative LeastSquare Estimation (ILSE) technique. Compared with the traditional framework, three improvements were made to accelerate the computation progress. First, a new 3-parameter linear model, together with its solution using modified ILSE method, is proposed to describe and estimate global motion, which is simple...