NAKAO Mitsuhiro T., HASHIMOTO Kouji, KOBAYASHI Kenta,
Verified numerical computation of solutions for the stationary Navier-Stokes equation in nonconvex polygonal domains.
Hokkaido Mathematical Journal, 36 (2007) pp.777-799
We propose a method to enclose solutions for the stationary Navier-Stokes equation in nonconvex polygonal domains. Our method is based on an infinite dimensional Newton-type formulation by using the finite element method with constructive error estimates and fixed point theorems. Numerical examples related to the step flow problems in $L$-shape domain are presented.
|Uncontrolled Keywords||Navier-Stokes equation, nonconvex polygonal domains, step flow|