@Article{JPDE-26-151,
author = {Varnhorn , Werner and Zanger , Florian},
title = {On Approximation and Computation of Navier-Stokes Flow},
journal = {Journal of Partial Differential Equations},
year = {2013},
volume = {26},
number = {2},
pages = {151--171},
abstract = {<p>We present an approximation method for the non-stationary nonlinear incompressible Navier-Stokes equations in a cylindrical domain (0,T)×G,where G⊂R^3 is a smoothly bounded domain. Ourmethod is applicable to general three-dimensional flow without any symmetry restrictions and relies on existence, uniqueness and representation results from mathematical fluid dynamics. After a suitable time delay in the nonlinear convective term v·∇v we obtain globally (in time) uniquely solvable equations, which - by using semi-implicit time differences - can be transformed into a finite number of Stokes-type boundary value problems. For the latter a boundary element method based on a corresponding hydrodynamical potential theory is carried out. The method is reported in short outlines ranging from approximation theory up to numerical test calculations.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v26.n2.5},
url = {http://global-sci.org/intro/article_detail/jpde/5159.html}
}