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Russian Journal of Cybernetics, 2024 Volume 5, Issue 4, Pages 45–50 (Mi uk176)

An effective combination of the method of boundary states and the Schwartz method for evaluating the stress-strain behavior of a cavity body

V. B. Penkov, L. V. Levina, V. N. Ulanov, A. A. Koptseva

Lipetsk State Technical University, Lipetsk, Russian Federation

Abstract: We estimated the efficiency of the Schwartz method combined with the energy-based method of boundary states (MBS) at each step of the iterative process and compared it with the direct application of MBS to a two-cavity elastic body analysis. We found better computational performance and a high level of convergence in the 3D case. The combined approach was used to estimate the limits of possible localization of a spherical cavity in a biconical body in a given surface load case.

Keywords: Schwartz method, method of boundary states, MBS, structural analysis.

DOI: 10.51790/2712-9942-2024-5-4-06



© Steklov Math. Inst. of RAS, 2025