Optimal error estimates for the pseudostress formulation of the Navier–Stokes equations

Dongho Kim, Eun Jae Park, Boyoon Seo

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)24-30
Number of pages7
JournalApplied Mathematics Letters
Volume78
DOIs
Publication statusPublished - 2018 Apr

Bibliographical note

Funding Information:
The first author’s research was supported by NRF-2013R1A1A2007462. The second author’s research was supported by NRF-2015R1A5A1009350 and NRF-2016R1A2B4014358.

Publisher Copyright:
© 2017 Elsevier Ltd

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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