CONVERGENCE OF IPDG FOR COUPLED TIME-DEPENDENT NAVIER-STOKES AND DARCY EQUATIONS
Abstract
A numerical method is proposed and analyzed for the coupled time-dependent Navier-Stokes equations and Darcy equations. Existence and uniqueness of the solution is obtained under a small data condition. A priori error estimates are derived. Numerical examples confirm the theoretical convergence rates.
Domains
Mathematics [math]
Origin : Files produced by the author(s)