@Article{IJNAM-21-2,
author = {Menghan, Liu and Xie, Xiaoping},
title = {A Hybrid Stress Finite Element Method for Integro-Differential Equations Modelling Dynamic Fractional Order Viscoelasticity},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {2},
pages = {221--243},
abstract = {<p style="text-align: justify;">We consider a semi-discrete finite element method for a dynamic model for linear viscoelastic materials based on the constitutive law of fractional order. The corresponding
integro-differential equation is of a Mittag-Leffler type convolution kernel. A 4-node hybrid stress
quadrilateral finite element is used for the spatial discretization. We show the existence and
uniqueness of the semi-discrete solution, then derive some error estimates. Finally, we provide
several numerical examples to verify the theoretical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1009},
url = {https://global-sci.com/article/91056/a-hybrid-stress-finite-element-method-for-integro-differential-equations-modelling-dynamic-fractional-order-viscoelasticity}
}