The Use of Singularity Programming in Finite-Difference and Finite-Element Computations of Temperature

[+] Author and Article Information
A. F. Emery

Department of Mechanical Engineering, University of Washington, Seattle, Wash.; Sandia Laboratories, Livermore, Calif.

J. Heat Transfer 95(3), 344-351 (Aug 01, 1973) (8 pages) doi:10.1115/1.3450062 History: Received September 13, 1972; Online August 11, 2010


This report contains a description of a numerical technique designed to overcome the difficulties associated with the usual solution of two-dimensional discretized thermal problems when there are singularities arising from point sources or discontinuous boundary conditions. The method is here applied to both the finite-difference and the finite-element approach by incorporating in the numerical computations the known analytical form of the singularities.

Copyright © 1973 by ASME
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