@Article{IJNAM-21-2,
author = {Noelia, Bazarra and R., José, Fernández and Magaña, Antonio and Marc, Magaña and Ramόn, Quintanilla},
title = {An a Priori Error Analysis of a Problem Involving Mixtures of Continua with Gradient Enrichment},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {2},
pages = {165--180},
abstract = {<p style="text-align: justify;">In this work, we study a strain gradient problem involving mixtures. The variational
formulation is written as a first-order in time coupled system of parabolic variational equations.
An existence and uniqueness result is recalled. Then, we introduce a fully discrete approximation
by using the finite element method and the implicit Euler scheme. A discrete stability property and
a priori error estimates are proved. Finally, some one- and two-dimensional numerical simulations
are performed.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1006},
url = {https://global-sci.com/article/91053/an-a-priori-error-analysis-of-a-problem-involving-mixtures-of-continua-with-gradient-enrichment}
}