Spectral boundary element method for transient heat conduction and elasticity problems

Lisa R. Hill, Thomas N. Farris

Research output: Contribution to journalConference article


The boundary element method is used to solve two-dimensional transient heat conduction and elasticity problems. The fast Fourier transform is used to convert the time domain problem into the frequency domain. The fundamental solutions in the frequency domain, required for the present method, are discussed. The resulting line integrations in the frequency domain are discretized using constant boundary elements in the development of a boundary element method Fortran program. The heat conduction solution is verified by way of a two-dimensional half space problem with an applied surface temperature. The results are presented both in the frequency and time domains. The frequency domain results are transformed back into the time domain using the inverse fast Fourier transform. The development of the elasticity solution procedure is then outlined and applied to an example. The accuracy of these results leads to the conclusion that the spectral boundary element method is a viable option for transient problems when results along the boundary are desired.

Original languageEnglish (US)
Pages (from-to)1291-1301
Number of pages11
JournalCollection of Technical Papers - AIAA/ASME Structures, Structural Dynamics and Materials Conference
Issue numberpt 3
StatePublished - Jan 1 1993
Externally publishedYes
Event34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - La Jolla, CA, USA
Duration: Apr 19 1993Apr 22 1993

All Science Journal Classification (ASJC) codes

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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