A numerical method to solve the Stokes problem with a punctual force in source term

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.

Comptes Rendus M{é}canique, Elsevier, 2015, http://www.sciencedirect.com/science/article/pii/S1631072114001818

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