Mathematics

Numerical simulation of the deflection of a rectangular plate on an elastic base with its rigid edge fixation

E. A. Meltsaykin, A. L. Ushakov

South Ural State University, Chelyabinsk, Russian Federation

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.

Keywords: numerical modeling, deflection of a rectangular plate.

UDC: 519.63

Received: 17.10.2025

Language: English

DOI: 10.14529/mmph250403