Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system

被引：0
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作者：
Zhendong Luo
Junqiang Gao
机构：
[1] North China Electric Power University,School of Mathematics and Physics
[2] North China Electric Power University,School of Control and Computer Engineering
来源：
Boundary Value Problems | / 2017卷
关键词：
stabilized mixed finite element model; parameter-free and two local Gauss integrals; two-dimensional nonlinear incompressible viscoelastic fluid system; existence and uniqueness as well as convergence; 65N30; 35Q10;
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摘要：
In this study, we first establish a stabilized mixed finite element (SMFE) model based on parameter-free and two local Gauss integrals for the two-dimensional (2D) nonlinear incompressible viscoelastic fluid system. And then, we prove the existence, uniqueness, and convergence of the SMFE solutions. Finally, we use a numerical example to verify the correctness of the previous theoretical results.
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