On a two-grid finite element scheme combined with Crank-Nicolson method for the equations of motion arising in the Kelvin-Voigt model

被引：17
|
作者：
Bajpai, S. [1 ]
Nataraj, N. [2 ]
机构：
[1] Tata Inst Fundamental Res Bangalore, Dept Math, Bangalore, Karnataka, India
[2] Indian Inst Technol, Dept Math, Bombay, Maharashtra, India
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 68卷 / 12期
关键词：
Kelvin-Voigt model; Two-grid method; Crank-Nicolson scheme; Error estimates; Optimal convergence rates; NAVIER-STOKES EQUATIONS; DISCRETIZATION;
D O I：
10.1016/j.camwa.2014.07.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a second order accurate Crank-Nicolson scheme applied to a system arising from Galerkin finite element two-grid approximations to the equations of motion described by the Kelvin-Voigtviscoelastic fluid flow model. Optimal error estimates in L-infinity(L-2)-norm and L-infinity(H-1)-norm for velocity and L-infinity(L-2)-norm for pressure are established. These estimates are shown to be uniform in time. Numerical results are provided to verify the theoretical estimates. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2277 / 2291
页数：15
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