Further study of the equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles

DOI10.1007/BF02463752zbMath0938.74015MaRDI QIDQ1818172

Ji-Huan He

Publication date: 15 February 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Hellinger-Reissner principlestationarity conditionsHu-Washizu variational principleinverse Lagrange multiplier methodpseudo-generalized variational principletrial functional

Mathematics Subject Classification ID

Elastic materials (74B99) Variational principles of physics (49S05)

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Existence of positive periodic solutions for a generalized predator-prey model with diffusion feedback controls ⋮ Further study of the equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles ⋮ Semi-inverse method and generalized variational principles with multi-variables in elasticity

Cites Work

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• Method of high-order Lagrange multiplier and generalized variational principles of elasticity with more general forms of functionals
• Classification of variational principles in elasticity
• Further study of the equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles
• Modified lagrange multiplier method and generalized variational principle in fluid mechanics