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

Dongho Kim; Eun Jae Park; Boyoon Seo

doi:10.1016/j.aml.2017.10.017

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

Dongho Kim, Eun Jae Park, Boyoon Seo

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (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 language	English
Pages (from-to)	24-30
Number of pages	7
Journal	Applied Mathematics Letters
Volume	78
DOIs	https://doi.org/10.1016/j.aml.2017.10.017
Publication status	Published - 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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10.1016/j.aml.2017.10.017

Cite this

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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.",

author = "Dongho Kim and Park, {Eun Jae} and Boyoon Seo",

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AU - Park, Eun Jae

AU - Seo, Boyoon

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PY - 2018/4

Y1 - 2018/4

N2 - 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.

AB - 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.

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JF - Applied Mathematics Letters

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

Abstract

Bibliographical note

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