@Article{AAMM-13-1,
author = {Mohamed, Kara and Salim, Mesbahi and Philippe, Angot},
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 = {2021},
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 = {https://global-sci.com/article/72959/the-fictitious-domain-method-with-sharp-interface-for-elasticity-systems-with-general-jump-embedded-boundary-conditions}
}