Dimensional reduction for Helmholtz's equation on an unbounded domain

研究成果: Article

5 引文 斯高帕斯(Scopus)

摘要

The dimensional reduction method for solving boundary value problems of Helmholtz's equation in domain Ωd := ℝn x (-d, d) by replacing them with systems of equations in ℝn are investigated. Basic tool to analyze dimensional reduction technique for problems on an unbounded domain Ωd is the use of Fourier transformation. The error estimates between the exact solution and the dimensionally reduced solution in some Hilbert space are obtained when d and N are given. The rates of convergence depend on the smoothness of the data on the faces.

原文English
頁(從 - 到)81-111
頁數31
期刊Mathematical Models and Methods in Applied Sciences
7
發行號1
DOIs
出版狀態Published - 1997 二月

    指紋

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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