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Spectral projected gradient method for conic optimization in kinematic limit analysis
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SYSNO ASEP 0575725 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Spectral projected gradient method for conic optimization in kinematic limit analysis Author(s) Pospíšil, L. (CZ)
Sysala, Stanislav (UGN-S) RID, ORCID
Čermák, M. (CZ)Number of authors 3 Article number 310007 Source Title Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2021 (ICNAAM-2021), Volume 2849, Issue 1. - New York : AIP Publishing LLC., 2023 - ISBN 978-0-7354-4589-5 Number of pages 4 s. Publication form Online - E Action International Conference on Numerical Analysis and Applied Mathematics 2021 Event date 20.09.2021 - 26.09.2021 VEvent location Sheraton Rhodes Resort Country GR - Greece Event type WRD Language eng - English Country US - United States Keywords kinematic limit analysis problem ; convex quadratic function ; strip-footing benchmark problem Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects GA19-11441S GA ČR - Czech Science Foundation (CSF) Institutional support UGN-S - RVO:68145535 DOI https://doi.org/10.1063/5.0162195 Annotation The paper is focused on solution of the kinematic limit analysis problem arising in geotechnical stability assessment. This problem may be classified as conic optimization and for its solution, the Augmented Lagrangian method with adaptive penalty is proposed to enforce equality constraints. The corresponding inner problem leads to the minimization of a convex quadratic function on a closed convex feasible set defined by separable cones and it is solved by projected gradients with spectral step-lengths. The efficiency of the suggested solver is demonstrated on a strip-footing benchmark problem.
Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2024 Electronic address https://pubs.aip.org/aip/acp/article/2849/1/310007/2909126
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