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I. Vardoulakis, T. Harnpattanapanich (1986)
Numerical Laplace‐Fourier transform inversion technique for layered‐soil consolidation problems: I. Fundamental solutions and validationInternational Journal for Numerical and Analytical Methods in Geomechanics, 10
D. Beskos (1987)
Boundary Element Methods in Dynamic AnalysisApplied Mechanics Reviews, 40
G. Manolis (1983)
A comparative study on three boundary element method approaches to problems in elastodynamicsInternational Journal for Numerical Methods in Engineering, 19
F. Rizzo, D. Shippy (1970)
A method of solution for certain problems of transient heat conductionAIAA Journal, 8
S. Hucker, T. Farris (1993)
Modified crack closure method using boundary elementsEngineering Fracture Mechanics, 46
Shiming Yang, G. Zheng (1991)
BOUNDARY ELEMENT METHOD APPLIED TO STEADY PERIODIC HEAT CONDUCTIONNumerical Heat Transfer Part A-applications, 19
A. Cheng, K. Ou (1989)
An efficient laplace transform solution for multiaquifer systemsWater Resources Research, 25
A. Israil, P. Banerjee (1990)
Advanced development of time-domain BEM for two-dimensional scalar wave propagationInternational Journal for Numerical Methods in Engineering, 29
J. Liggett, P. Liu (1979)
Unsteady flow in confined aquifers: A comparison of two boundary integral methodsWater Resources Research, 15
The spectral boundary element method for solving twodimensionaltransient heat conduction problems is developed. This method is combined withthe fast Fourier transform FFT to convert the solution between the time andfrequency domains. The fundamental solutions in the frequency domain,required for the present method, are discussed. The resulting lineintegrations in the frequency domain are discretized using constant boundaryelements and used in a Fortran boundary element program. Three examples areused to illustrate the accuracy and effectiveness of the method in both thefrequency and time domains. First, the frequency domain solution procedureis verified using the steadystate example of a semiinfinite half space witha heat flux applied to a patch of the surface. This spectral boundary elementmethod is then applied to the problem of a circular hole in an infinite solidsubjected to a timevarying heat flux, and solutions in both the frequencyand time domains are presented. Finally, the method is used to solve thecircular hole problem with a convection boundary condition. The accurary ofthese results leads to the conclusion that the spectral boundary elementmethod in conjunction with the FFT is a viable option for transient problems.In addition, this spectral approach naturally produces frequence domaininformation which is itself of interest.
International Journal of Numerical Methods for Heat and Fluid Flow – Emerald Publishing
Published: Sep 1, 1995
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