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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 ill L-shape domain are presented.

Verified numerical computation of solutions for the stationary Navier-Stokes equation in nonconvex polygonal domains