@Article{EAJAM-8-365,
author = {Catalina Domínguez, Ricardo Prato Torres and Heidy González},
title = {An a Posteriori Error Estimator for a Non-Conforming Domain Decomposition Method for a Harmonic Elastodynamics Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {2},
pages = {365--384},
abstract = {<p style="text-align: justify;">We develop a reliable residual-based a posteriori error estimator for a non-conforming
method with non-matching meshes for a harmonic elastodynamics equation
and show that the approximation method converges with an optimal order to the exact
solution. Moreover, we propose an adaptive strategy to reduce computational cost and
derive better approximations for problems with singularities and with large approximating
systems. Numerical experiments confirm theoretical conclusions.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.100317.020318a},
url = {http://global-sci.org/intro/article_detail/eajam/12211.html}
}