Performance of nonconforming spectral element method for Stokes problems

Abstract

A nonconforming spectral element method for the Stokes problem on nonsmooth domains has been proposed in Mohapatra et al. (J Comput Appl Math 372:112696, 2020). The main focus of this article is to study the performance of this method for Stokes problems on smooth curvilinear domains and Stokes problem with mixed boundary conditions. Various test cases are considered including the generalized Stokes problem in $${\mathbb {R}}^{2}$$ and $${\mathbb {R}}^{3}$$ to verify the exponential accuracy of the method.