@Article{AAMM-13-119,
author = {Kara , MohamedMesbahi , Salim and Angot , Philippe},
title = {The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2020},
volume = {13},
number = {1},
pages = {119--139},
abstract = {<p style="text-align: justify;">In framework of the fictitious domain methods with immersed interfaces for the elasticity problem, the present contribution is to study and numerically validate the jump-integrated boundary conditions method with sharp interface for the vector elasticity system discretized by a proposed finite volume method. The main idea of the fictitious domain approach consists in embedding the original domain of study into a geometrically larger and simpler one called the fictitious domain. Here, we present a cell-centered finite volume method to discretize the fictitious domain problem. The proposed method is numerically validated for different test cases. This work can be considered as a first step before more challenging problems such as fluid-structure interactions or moving interface problems.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2019-0119},
url = {http://global-sci.org/intro/article_detail/aamm/18343.html}
}