Dimensional reduction for the beam in elasticity on a bounded domain

DOI10.1016/S0898-1221(99)00320-XzbMath0972.35029OpenAlexW2071269800MaRDI QIDQ1975338

K. M. Liu

Publication date: 5 July 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00320-x

zbMATH Keywords

dimensional reductioninf-sup conditionsmodelling error

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) Classical linear elasticity (74B05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35)

Related Items (1)

Eigenvalue problems for the beam and an upper and lower bound for each branch of solutions of Rayleigh-Lamb frequency equation

Cites Work

• Dimensional reduction for Helmholtz's equation on a bounded domain
• Eigenvalue problems for the beam and an upper and lower bound for each branch of solutions of Rayleigh-Lamb frequency equation
• Dimensional Reduction for Helmholtz's Equation on an Unbounded Domain
• Dimensional Reduction for Nonlinear Boundary Value Problems
• On a Dimensional Reduction Method I. The Optimal Selection of Basis Functions
• HIERARCHIC MODELS OF HELMHOLTZ PROBLEMS ON THIN DOMAINS
• DIMENSIONAL REDUCTION FOR THE BEAM IN ELASTICITY ON AN UNBOUNDED DOMAIN
• A Posteriori Error Estimation for Hierarchic Models of Elliptic Boundary Value Problems on Thin Domains

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