Jaideep Sai Padhi

Scott–Vogelius–Nitsche on a polygonally approximated boundary: convergence, the missing pressure traction, and the penalty threshold

Extended version (v3). We analyse the Scott–Vogelius–Nitsche method of Gjerde and Scott for two-dimensional Stokes flow whose curved no-slip wall is replaced by an inscribed polygon, answering Scott's zero-gradient prize question (PPL 115): does the error behave like h_Γ^{3/2} +...

Scott–Vogelius–Nitsche on a polygonally approximated boundary: convergence, the missing pressure traction, and the penalty threshold

We analyse the Scott–Vogelius–Nitsche method of Gjerde and Scott for two-dimensional Stokes flow whose no-slip curve is replaced by an inscribed polygon: continuous P4 velocities that are exactly divergence-free, with Dirichlet data imposed weakly on the polygon by Nitsche's meth...