A Posteriori Error Estimators for the Quasi-Newtonian Stokes Problem with a General Boundary Condition

被引：2
|
作者：
El Moutea, Omar [1 ]
El Ouadefli, Lahcen [2 ]
El Akkad, Abdeslam [2 ,3 ]
Nakbi, Nadia [3 ]
Elkhalfi, Ahmed [2 ]
Scutaru, Maria Luminita [4 ]
Vlase, Sorin [4 ,5 ]
机构：
[1] Hassan II Univ Casablanca, Lab Math & Applicat, ENS, Casablanca 20000, Morocco
[2] Univ Sidi Mohammed Ben Abdellah, Fac Sci & Technol, Mech Engn Lab, BP 30000 Route Imouzzer, Fes 30000, Morocco
[3] Ctr Reg Metiers Educ Format Fes Meknes CRMEF Fes M, Dept Math, Rue Koweit 49, Fes 30050, Morocco
[4] Transylvania Univ Brasov, Fac Mech Engn, Dept Mech Engn, B dul Eroilor 29, Brasov 500036, Romania
[5] Romanian Acad Tech Sci, B dul Dacia 26, Bucharest 030167, Romania
来源：
MATHEMATICS | 2023年 / 11卷 / 08期
关键词：
a posteriori error estimation; FEM; Laplacian operator; quasi-Newtonian flows problem; FINITE-ELEMENT APPROXIMATION; SATURATED POROUS-MEDIA; P-LAPLACIAN; FLUID-FLOW; REGULARITY; EXISTENCE; COLLOIDS; MODEL;
D O I：
10.3390/math11081943
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we approach two nonlinear differential equations applied in fluid mechanics by finite element methods (FEM). Our objective is to approach the solution to these problems; the first one is the "p-Laplacian" problem and the second one is the "Quasi-Newtonian Stokes" problem with a general boundary condition. To study and analyze our solutions, we introduce the a posteriori error indicator; this technique allows us to control the error, and each is shown the equivalent between the true and the a posterior errors estimators. The performance of the finite element method by this type of general boundary condition is presented via different numerical simulations.
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页数：20
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