Stabilized finite element methods for a blood flow model of arteriosclerosis |
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| Authors: | Feifei Jing Jian Li Zhangxin Chen |
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| Institution: | 1. College of Mathematics and Statistics, Center for Computational Geoscience, Xi'an Jiaotong University, Xi'an, People's Republic of China;2. Institute of Computational Mathematics and its Applications, Baoji University of Arts and Sciences, Baoji, People's Republic of China;3. Department of Chemical and Petroleum Engineering, Schulich School of Engineering, University of Calgary, 2500 University Drive N.W. Calgary, Alberta, Canada |
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| Abstract: | 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 on  stabilized 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 |
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| Keywords: | error estimates Navier– Stokes equations nonlinear slip boundary stabilized method variational inequality |
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