@Article{IJNAM-21-165, author = {Bazarra , NoeliaFernández , José R.Magaña , AntonioMagaña , Marc and Quintanilla , Ramόn}, 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 = {
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.
}, issn = {2617-8710}, doi = {https://doi.org/10.4208/ijnam2024-1006}, url = {http://global-sci.org/intro/article_detail/ijnam/23022.html} }