@Article{IJNAM-10-411,
author = {Creuse , E.Nicaise , S.Tang , Z.Menach , Y. L.Nemitz , N. and Piriou , F.},
title = {Residual-Based a Posteriori Estimators for the T/Ω Magnetodynamic Harmonic Formulation of the Maxwell System},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2013},
volume = {10},
number = {2},
pages = {411--429},
abstract = {<p style="text-align: justify;">In this paper, we focus on an a posteriori residual-based error estimator for the $T/\Omega$ magnetodynamic harmonic formulation of the Maxwell system. Similarly to the $A/\varphi$ formulation
[7], the weak continuous and discrete formulations are established, and the well-posedness of
both of them is addressed. Some useful analytical tools are derived. Among them, an ad-hoc
Helmholtz decomposition for the $T/\Omega$ case is derived, which allows to pertinently split the error.
Consequently, an a posteriori error estimator is obtained, which is proven to be reliable and locally
efficient. Finally, numerical tests confirm the theoretical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/575.html}
}