CANONICAL DUAL FINITE ELEMENT METHOD FOR SOLVING NONCONVEX MECHANICS AND TOPOLOGY OPTIMISATION PROBLEMS

DOI10.1017/S0004972719001205zbMath1434.74099OpenAlexW2991462482WikidataQ126762815 ScholiaQ126762815MaRDI QIDQ5212977

Elaf Jaafar Ali

Publication date: 31 January 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719001205

zbMATH Keywords

finite element methodlarge deformationcanonical duality theorynonconvex functional3D topology optimisation problemcanonical penalty-dualitypostbuckling problems

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Duality theory (optimization) (49N15) Topological methods for optimization problems in solid mechanics (74P15) Sensitivity analysis for optimization problems on manifolds (49Q12)

Cites Work

• On SDP method for solving canonical dual problem in post buckling of large deformed elastic beam
• Canonical duality theory for topology optimization
• Improved canonical dual finite element method and algorithm for post-buckling analysis of nonlinear Gao beam
• A Novel Canonical Duality Theory for Solving 3-D Topology Optimization Problems

This page was built for publication: CANONICAL DUAL FINITE ELEMENT METHOD FOR SOLVING NONCONVEX MECHANICS AND TOPOLOGY OPTIMISATION PROBLEMS