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Transient Non-linear Heat Conduction Solution by a Dual Reciprocity Boundary Element Method with an Effective Posteriori Error Estimator

Eduardo Divo1, Alain J. Kassab2

Engineering Technology Department, University of CentralFlorida, Orlando, Florida 32816-2450
Mechanical, Materials, and Aerospace Engineering Department,University of Central Florida, Orlando, Florida 32816-2450

Computers, Materials & Continua 2005, 2(4), 277-288.


A Dual Reciprocity Boundary Element Method is formulated to solve non-linear heat conduction problems. The approach is based on using the Kirchhoff transform along with lagging of the effective non-linear thermal diffusivity. A posteriori error estimate is used to provide effective estimates of the temporal and spatial error. A numerical example is used to demonstrate the approach.

Cite This Article

E. . Divo and A. J. . Kassab, "Transient non-linear heat conduction solution by a dual reciprocity boundary element method with an effective posteriori error estimator," Computers, Materials & Continua, vol. 2, no.4, pp. 277–288, 2005.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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