@Article{AAMM-14-2,
author = {Yuan, Hao and Xie, Xiaoping},
title = {Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2022},
volume = {14},
number = {2},
pages = {344--364},
abstract = {<p style="text-align: justify;">Semi-discrete and fully discrete mixed finite element methods are considered for Maxwell-model-based problems of wave propagation in linear viscoelastic
solid. This mixed finite element framework allows the use of a large class of existing mixed conforming finite elements for elasticity in the spatial discretization. In the
fully discrete scheme, a Crank-Nicolson scheme is adopted for the approximation of
the temporal derivatives of stress and velocity variables. Error estimates of the semi-discrete and fully discrete schemes, as well as an unconditional stability result for the
fully discrete scheme, are derived. Numerical experiments are provided to verify the
theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0014},
url = {https://global-sci.com/article/72903/semi-discrete-and-fully-discrete-mixed-finite-element-methods-for-maxwell-viscoelastic-model-of-wave-propagation}
}