Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term-Reference-Cited by-同舟云学术

Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term

Published:2024 Issue:2 Volume:19 Page:475-499
ISSN:1556-1801
Container-title:Networks and Heterogeneous Media
language:
Short-container-title:NHM

Author:

Tai Yue¹,Wang Xiuli²,Yin Weishi¹,Meng Pinchao¹

Affiliation:

1. School of Mathematics and Statistics, Changchun University of Science and Technology, 7089. Weixing Rd, Changchun, Jilin 130022, China

2. Department of Mathematics, Jilin University, 2699. Qianjin Ave, Changchun, Jilin 130012, China

Abstract

<abstract><p>The primary focus of this research was to investigate the weak Galerkin (WG) finite element method for the Navier-Stokes equations with damping. We established the weak Galerkin finite element numerical scheme and demonstrated the existence and uniqueness of the weak Galerkin numerical solution. Additionally, optimal errors estimates for the velocity and pressure were obtained. Eventually, numerous numerical examples were reported to validate the theoretical analysis.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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