Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure: part II
摘要
In this study, we provide a nonconforming spectral approach for the Stokes equations with nonstandard boundary conditions on a single domain. The discrete spaces are defined in such a way that the discrete approximations for the velocity are exactly divergence-free. We provide a novel discrete inf-sup condition from which pressure error estimates are derived. Several numerical experiments are provided to demonstrate the method’s interest.