numerical modeling, deflection of a rectangular plate
Abstract
The paper presents an algorithm for numerically modeling the deflection of a rectangular plate on an elastic foundation with rigid fixation at its edges. The proposed algorithm is asymptotically optimal in terms of computational effort and is based on the iterative expansion method and assumes the use of marching methods. The asymptotic optimality of the algorithm has been experimentally confirmed using computer simulations.
Author Biographies
Evgeniy Andreevich Meltsaykin, South Ural State University, Chelyabinsk
Assistant, Department of Mathematical and Computer Modelling
Andrey Leonidovich Ushakov, South Ural State University, Chelyabinsk
Dr. Sc. (Physics and Mathematics), Associate Professor, Senior Research Officer at the Department of Mathematical and Computer Modelling
