Dimensional reduction for the plate in elasticity on an unbounded domain

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Abstract

The dimensional reduction method is investigated for solving boundary value problems of the plate in elasticity on domain Ω(d) := R2 x (-d, d) by replacing the problems with systems of equations in R2. The basic tool to analyze the dimensional reduction technique for problems on an unbounded domain Ω(d) is the use 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 depends on the smoothness of the data on the faces.

Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalMathematical and Computer Modelling
Volume30
Issue number5-6
DOIs
Publication statusPublished - 1999 Sep 1

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All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Science Applications

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