In this paper we are concerned with domain decomposition methods for the stationary incompres-sible Navier-Stokes equation. We construct an adaptive additive Schwarz method based on dis-cretization by means of a divergence-free wavelet frame. We prove that the method is convergent and asymptotically optimal with respect to the degrees of freedom involved.
V ladimir Arnol′d is currently professor of mathematics at both the Steklov Mathematical Institute, Moscow, and Ceremade, Université de Paris– Dauphine. Professor Arnol′d obtained his Ph.D. from the Moscow State University in 1961. He has made fundamental contributions in dynamical systems, singularity theory, stability theory, topology, algebraic geometry,… (More)
A numerical simulation of steady and unsteady two-dimensional flows past cylinder with dimples based on highly accurate pseudospec-tral method is the subject of the present paper. The vorticity and streamfunction formulation of two-dimensional incompressible Navier-Stokes equations with no-slip boundary conditions is used. The system is formulated on a unit… (More)