Time Discretization on Time-Grids with Structure — from Euler and Trapezoidal Method to Revised Projection Schemes
Andreas Prohl · Advances in numerical mathematics · 1997
The analyses of projection schemes of higher order in the preceding chapters have highlighted the difficulties of these numerical schemes to cope with highly incompatible flows. As results, we proved an optimal behavior of convergence for the classical Van Kan scheme for problem constellations that satisfy the regularity assumptions demanded in Postulate B 2 , cf. page 145. The sharpness of this restrictive limitation of applicability is shown by numerical experiments leading to a global reduction of the convergence order in the case of violation, i.e., in case of incompatible flows. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.