Cheng, Zhong and Paraschivoiu, Marius (2003) Parallel computations of finite element output bounds for conjugate heat transfer. Finite Elements in Analysis and Design, 39 (7). pp. 581597. ISSN 0168874X

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Abstract
This paper investigates the a posteriori finite element bound method applied to a heat transfer problem in a multimaterial electronic components array. The temperature field is obtained by solving Poisson equations and convection–diffusion equations in different regions of the computational domain. The bound method calculates very sharp lower and upper bounds of the temperature of the hottest component which is assumed to be the engineering output of interest. This paper shows that for this twodimensional problem the bound method can yield more than an 80fold reduction in simulation time over a fine mesh calculation (330,050 d.o.f.) while still maintaining quantitative control over the accuracy of the engineering output of interest. Parallel implementation on a Beowulf cluster is also reported.
Divisions:  Concordia University > Faculty of Engineering and Computer Science > Mechanical and Industrial Engineering 

Item Type:  Article 
Refereed:  Yes 
Authors:  Cheng, Zhong and Paraschivoiu, Marius 
Journal or Publication:  Finite Elements in Analysis and Design 
Date:  April 2003 
Digital Object Identifier (DOI):  10.1016/S0168874X(02)001294 
ID Code:  6753 
Deposited By:  ANDREA MURRAY 
Deposited On:  02 Jul 2010 17:03 
Last Modified:  04 Nov 2016 22:59 
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