DIMENSIONAL REDUCTION FOR THE BEAM IN ELASTICITY ON AN UNBOUNDED DOMAIN

DOI10.1142/S021820259900021XzbMath0938.74039OpenAlexW2106910640MaRDI QIDQ4270571

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Publication date: 22 November 1999

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820259900021x

zbMATH Keywords

beamerror estimatesHilbert spaceboundary value problemsrates of convergenceNeumann problemFourier transformationdimensional reduction method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (3)

Dimensional reduction for the beam in elasticity 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 the plate in elasticity on an unbounded domain.

Cites Work

• Dimensional reduction for Helmholtz's equation on a bounded domain
• Dimensional Reduction for Helmholtz's Equation on an Unbounded Domain
• Dimensional Reduction for Nonlinear Boundary Value Problems

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