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Stabilized finite element methods for a blood flow model of arteriosclerosis
Author(s) -
Jing Feifei,
Li Jian,
Chen Zhangxin
Publication year - 2015
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22005
Subject(s) - mathematics , finite element method , nonlinear system , boundary value problem , compressibility , mathematical analysis , partial differential equation , incompressible flow , flow (mathematics) , mechanics , geometry , physics , quantum mechanics , thermodynamics
In this article, a blood flow model of arteriosclerosis, which is governed by the incompressible Navier–Stokes equations with nonlinear slip boundary conditions, is constructed and analyzed. By means of suitable numerical integration approximation for the nonlinear boundary term in this model, a discrete variational inequality for the model based onP 1 − P 1 / P 0stabilized finite elements is proposed. Optimal order error estimates are obtained. Finally, numerical examples are shown to demonstrate the validity of the theoretical analysis and the efficiency of the presented methods. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 2063–2079, 2015