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Transient Non-linear Heat Conduction Solution by a Dual Reciprocity Boundary Element Method with an Effective Posteriori Error Estimator
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. https://doi.org/10.3970/cmc.2005.002.277
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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
APA Style
Divo, E., Kassab, A.J. (2005). Transient non-linear heat conduction solution by a dual reciprocity boundary element method with an effective posteriori error estimator. Computers, Materials & Continua, 2(4), 277-288. https://doi.org/10.3970/cmc.2005.002.277
Vancouver Style
Divo E, Kassab AJ. Transient non-linear heat conduction solution by a dual reciprocity boundary element method with an effective posteriori error estimator. Comput Mater Contin. 2005;2(4):277-288 https://doi.org/10.3970/cmc.2005.002.277
IEEE Style
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," Comput. Mater. Contin., vol. 2, no. 4, pp. 277-288. 2005. https://doi.org/10.3970/cmc.2005.002.277
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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