Investigation of existing and new approaches to step size control in a continuation framework
Year: 2025
Type: article
Abstract: This paper presents a comprehensive study on step-size control in continuation methods. It reviews various well-known approaches, identifies suitable control parameters and introduces a novel scheme. The effectiveness of these methods is evaluated through the use of simple examples and a nonlinearly coupled beam that is subject to harmonic excitation. The performance of each approach is compared in terms of the number of steps required, path quality, and computational cost. Results show that the proposed method offers superior performance compared to existing approaches, especially in challenging scenarios such as highly nonlinear systems. These findings have practical implications in the development of more efficient and robust control strategies for continuation applications.
Source: Computers & Structures
Authors: Tido Kubatschek, Alwin Förster
Institution: Leibniz University Hannover
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,200
OpenAlex ID: W4409197382