Dimensional reduction for the beam in elasticity on an unbounded domain

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The dimensional reduction method is investigated for solving boundary value problems of the beam in elasticity on domain Ωd := R × (-d, d) by replacing the problems with systems of equations in ℝ. The basic tool to analyze the dimensional reduction technique for problems in an unbounded domain Ωd is using of Fourier transformation. The error estimates between the exact solution and the dimensionally reduced solution in a Hilbert space are obtained when d and N are given. The rates of convergence depend on the smoothness of the data on the faces.

Original languageEnglish
Pages (from-to)415-444
Number of pages30
JournalMathematical Models and Methods in Applied Sciences
Volume9
Issue number3
DOIs
Publication statusPublished - 1999 Jan 1

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Dimensional Reduction
Unbounded Domain
Elasticity
Fourier Transformation
Hilbert spaces
Reduction Method
Boundary value problems
System of equations
Error Estimates
Smoothness
Rate of Convergence
Exact Solution
Hilbert space
Boundary Value Problem
Face

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

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Dimensional reduction for the beam in elasticity on an unbounded domain. / Liu, Kang-Man.

In: Mathematical Models and Methods in Applied Sciences, Vol. 9, No. 3, 01.01.1999, p. 415-444.

Research output: Contribution to journalArticle

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