Method of separation of variables and Hamiltonian system

DOI10.1002/num.1690090107zbMath0767.73099OpenAlexW2008990242MaRDI QIDQ4033482

Xiang-Xiang Zhong, Wan-xie Zhong

Publication date: 16 May 1993

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690090107

zbMATH Keywords

generalized variational principleplate bending problemstrip domainadjoint symplectic spaceseigenfunction vectorsminimum potential energy variational principlefinite-dimensional theory

Mathematics Subject Classification ID

Plates (74K20) Optimization of other properties in solid mechanics (74P10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

A hybrid-stress element based on Hamilton principle ⋮ Eigenvalue problem of a class of fourth-order Hamiltonian operators ⋮ Exact bending analysis of fully clamped rectangular thin plates subjected to arbitrary loads by new symplectic approach ⋮ On invertible nonnegative Hamiltonian operator matrices ⋮ Numerical solutions of linear quadratic control for time-varying systems via symplectic conservative perturbation ⋮ Effective solution method of chemical reaction kinetics with diffuse ⋮ Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach ⋮ On new symplectic approach for exact bending solutions of moderately thick rectangular plates with two opposite edges simply supported

Cites Work

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