Singular Solutions of the Heat Conduction (Scalar) Equation in Polyhedral Domains

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Two-dimensional approximations may sometimes represent well some problems in engineering practice, but in reality, three-dimensional (3-D) domains are of interest. After obtaining in previous chapters the solution in the vicinity of singular points in 2-D, we may proceed to 3-D domains where three different types of singularities may exist.

Original languageAmerican English
Title of host publicationInterdisciplinary Applied Mathematics
PublisherSpringer Nature
Pages237-264
Number of pages28
DOIs
StatePublished - 1 Jan 2012

Publication series

NameInterdisciplinary Applied Mathematics
Volume37

Keywords

  • Asymptotic Solution
  • Bessel Function
  • Heat Conduction Equation
  • Laplace Equation
  • Singular Solution

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Management Science and Operations Research

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