Int. J. Numer. Anal. Mod., 3 (2006), pp. 413-436.


A posteriori analysis for FEM of thermistor problems

Walter Allegretto 1, Ningning Yan 2

1 Department of Mathematical and Statistics Science, University of Alberta, Edmonton AB, Canada T6G 2G1
2 Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China

Received by the editors June 11, 2004 and, in revised form, January 22, 2005
Abstract

In this paper, we present what we believe is the first a posteriori finite element error analysis for the system of equations that governs micromachined microsensors. Our main result is the establishment of an efficient and reliable a posteriori error estimator Theta.

AMS subject classifications: 49J20, 65N30
Key words: thermistor problems; adaptive finite element methods; a posteriori error analysis
 

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