Stabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation

被引：0
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作者：
Hong Xia
Zhendong Luo
机构：
[1] North China Electric Power University,School of Control and Computer Engineering
[2] North China Electric Power University,School of Mathematics and Physics
来源：
Boundary Value Problems | / 2017卷
关键词：
stabilized finite volume element method; a non-dimensional real together with two Gaussian quadratures; incompressible nonlinear viscoelastic flow equation; existence, stability, and error estimate; 65N30; 35Q10;
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摘要：
In this article, we devote ourselves to building a stabilized finite volume element (SFVE) method with a non-dimensional real together with two Gaussian quadratures of the nonlinear incompressible viscoelastic flow equation in a two-dimensional (2D) domain, analyzing the existence, stability, and error estimates of the SFVE solutions and verifying the validity of the preceding theoretical conclusions by numerical simulations.
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