Volume 3, Issue 4
A Posteriori Error Analysis for FEM of Thermistor Problems

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

Published online: 2006-03

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• 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 $\Theta$.

• Keywords

thermistor problems, adaptive finite element methods, a posteriori error analysis.

49J20, 65N30

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@Article{IJNAM-3-413, author = {Allegretto , Walter and Yan , Ningning}, title = {A Posteriori Error Analysis for FEM of Thermistor Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {4}, pages = {413--436}, 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 $\Theta$.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/911.html} }
TY - JOUR T1 - A Posteriori Error Analysis for FEM of Thermistor Problems AU - Allegretto , Walter AU - Yan , Ningning JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 413 EP - 436 PY - 2006 DA - 2006/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/911.html KW - thermistor problems, adaptive finite element methods, a posteriori error analysis. AB -

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 $\Theta$.

Walter Allegretto & Ningning Yan. (1970). A Posteriori Error Analysis for FEM of Thermistor Problems. International Journal of Numerical Analysis and Modeling. 3 (4). 413-436. doi:
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