In this paper, we prove optimal a priori error estimates for the pseudostress-velocity mixed finite element formulation of the incompressible Navier–Stokes equations, thus improve the result of Cai et al. (SINUM 2010). This is achieved by applying Petrov–Galerkin type Brezzi–Rappaz–Raviart theory.
Bibliographical noteFunding Information:
The first author’s research was supported by NRF-2013R1A1A2007462. The second author’s research was supported by NRF-2015R1A5A1009350 and NRF-2016R1A2B4014358.
© 2017 Elsevier Ltd
All Science Journal Classification (ASJC) codes
- Applied Mathematics