A numerical method to solve the Stokes problem with a punctual force in source term
Numerical Analysis
2015-05-20 v1
Abstract
The aim of this note is to present a numerical method to solve the Stokes problem in a bounded domain with a Dirac source term, which preserves optimality for any approximation order by the finite-element method. It is based on the knowledge of a fundamental solution to the associated operator over the whole space. This method is motivated by the modeling of the movement of active thin structures in a viscous fluid.
Cite
@article{arxiv.1505.03047,
title = {A numerical method to solve the Stokes problem with a punctual force in source term},
author = {Loïc Lacouture},
journal= {arXiv preprint arXiv:1505.03047},
year = {2015}
}
Comments
Comptes Rendus M{\'e}canique, Elsevier, 2015, http://www.sciencedirect.com/science/article/pii/S1631072114001818