We describe an entirely new generation of the meshless methods for stochastic modelling of microstructure formation. The method is based on the discretisation based on randomly distributed nodes. Higher discretisation flexibility and indepenedence of the results with respect to the orientation of the discretisation is achieved with this. An important consequence of this approach is independence of the shape of the dendritic structures as a function of the position of the crystallographic angles. Breaktrough in the field of cellular automata modelling.
COBISS.SI-ID: 1729275
A comparison between global and local collocation meshless method for difusion reaction equation is made. Several benchmark tests are calculated. We found out that the local method is preferred because of the much higher efficiency and negligible smaller accuracy.
COBISS.SI-ID: 1516027
The purpose of this paper is to present the methodology for optimizing the production of predetermined steel grades in predetermined quantities before a customer’s set deadline in such a way as to reduce the nonplanned and ordered quantities with the date ahead of the deadline and to minimize the number of batches. The genetic algorithm method was used for optimization. The application of the methodology influences huge savings.
COBISS.SI-ID: 1817595
Entirely new way of solving a class of partial differential equations, based on Haar weverlets is described in the paper. The equations are usefull in sciences and engineering. We demonstrate exceptional efficiency and accuracy of the method in comparison to other previously well established approaches.
COBISS.SI-ID: 1541627
In the article a method was presented that allows for the calculation of nematic polymers in confined geometries. The contribution of Gregor Veble was the collaboration on a successful implementation of a computational fluid dynamics package in order to apply it to the calculation of nematic order parameter.
COBISS.SI-ID: 2254948