Li, Jian; Jing, Feifei; Chen, Zhangxin; Lin, Xiaolin A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis. (English) Zbl 1459.76088 J. Comput. Appl. Math. 363, 35-52 (2020). MSC: 76M12 76Z05 76D07 76M30 92C35 PDFBibTeX XMLCite \textit{J. Li} et al., J. Comput. Appl. Math. 363, 35--52 (2020; Zbl 1459.76088) Full Text: DOI
Li, Jian; Huang, Pengzhan; Su, Jian; Chen, Zhangxin A linear, stabilized, non-spatial iterative, partitioned time stepping method for the nonlinear Navier-Stokes/Navier-Stokes interaction model. (English) Zbl 1513.65369 Bound. Value Probl. 2019, Paper No. 115, 19 p. (2019). MSC: 65M60 35Q35 76D05 PDFBibTeX XMLCite \textit{J. Li} et al., Bound. Value Probl. 2019, Paper No. 115, 19 p. (2019; Zbl 1513.65369) Full Text: DOI
Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin A stabilized finite volume element method for a coupled Stokes-Darcy problem. (English) Zbl 1404.65221 Appl. Numer. Math. 133, 2-24 (2018). MSC: 65N08 76D07 76S05 76M12 65N30 65N15 PDFBibTeX XMLCite \textit{R. Li} et al., Appl. Numer. Math. 133, 2--24 (2018; Zbl 1404.65221) Full Text: DOI
Jing, Feifei; Li, Jian; Chen, Zhangxin; Zhang, Zhonghua Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions. (English) Zbl 1415.76455 J. Comput. Appl. Math. 320, 43-60 (2017). MSC: 76M10 76D05 65M60 65M15 65M25 PDFBibTeX XMLCite \textit{F. Jing} et al., J. Comput. Appl. Math. 320, 43--60 (2017; Zbl 1415.76455) Full Text: DOI
Li, Rui; Li, Jian; Chen, Zhangxin; Gao, Yali A stabilized finite element method based on two local Gauss integrations for a coupled Stokes-Darcy problem. (English) Zbl 1329.76181 J. Comput. Appl. Math. 292, 92-104 (2016). MSC: 76M10 65N30 65N12 65N15 76D07 76S05 PDFBibTeX XMLCite \textit{R. Li} et al., J. Comput. Appl. Math. 292, 92--104 (2016; Zbl 1329.76181) Full Text: DOI
Zhu, Liping; Chen, Zhangxin A two-level stabilized nonconforming finite element method for the stationary Navier-Stokes equations. (English) Zbl 07313377 Math. Comput. Simul. 114, 37-48 (2015). MSC: 65N30 76D05 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Z. Chen}, Math. Comput. Simul. 114, 37--48 (2015; Zbl 07313377) Full Text: DOI
Li, Jian; Chen, Zhangxin; Zhang, Tong Adaptive stabilized mixed finite volume methods for the incompressible flow. (English) Zbl 1338.76076 Numer. Methods Partial Differ. Equations 31, No. 5, 1424-1443 (2015). MSC: 76M12 65N08 65N50 76D07 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 31, No. 5, 1424--1443 (2015; Zbl 1338.76076) Full Text: DOI
Jing, Feifei; Li, Jian; Chen, Zhangxin Stabilized finite element methods for a blood flow model of arteriosclerosis. (English) Zbl 1371.92039 Numer. Methods Partial Differ. Equations 31, No. 6, 2063-2079 (2015). MSC: 92C35 92C50 49N90 PDFBibTeX XMLCite \textit{F. Jing} et al., Numer. Methods Partial Differ. Equations 31, No. 6, 2063--2079 (2015; Zbl 1371.92039) Full Text: DOI
Chen, Zhangxin; Wang, Zhen; Zhu, Liping; Li, Jian Analysis of the pressure projection stabilization method for the Darcy and coupled Darcy-Stokes flows. (English) Zbl 1393.76062 Comput. Geosci. 17, No. 6, 1079-1091 (2013). MSC: 76M10 65N30 65N15 76S05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Comput. Geosci. 17, No. 6, 1079--1091 (2013; Zbl 1393.76062) Full Text: DOI
Li, Jian; Chen, Zhangxin On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations. (English) Zbl 1278.35178 Adv. Comput. Math. 38, No. 2, 281-320 (2013). MSC: 35Q30 65N30 76D05 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Chen}, Adv. Comput. Math. 38, No. 2, 281--320 (2013; Zbl 1278.35178) Full Text: DOI
Li, Jian; Chen, Zhangxin; He, Yinnian A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations. (English) Zbl 1366.76062 Numer. Math. 122, No. 2, 279-304 (2012). MSC: 76M12 76D05 65M08 65M12 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Math. 122, No. 2, 279--304 (2012; Zbl 1366.76062) Full Text: DOI
Li, Jian; Mei, Liquan; Chen, Zhangxin Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh \(L^2\) projection. (English) Zbl 1234.65038 Numer. Methods Partial Differ. Equations 28, No. 1, 115-126 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 35Q30 76M10 76D07 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 28, No. 1, 115--126 (2012; Zbl 1234.65038) Full Text: DOI
Zhu, Liping; Li, Jian; Chen, Zhangxin A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations. (English) Zbl 1350.76035 J. Comput. Appl. Math. 235, No. 8, 2821-2831 (2011). MSC: 76M10 65N15 65N30 76D05 PDFBibTeX XMLCite \textit{L. Zhu} et al., J. Comput. Appl. Math. 235, No. 8, 2821--2831 (2011; Zbl 1350.76035) Full Text: DOI
Zhang, Liyun; Chen, Zhangxin A stabilized mixed finite element method for single-phase compressible flow. (English) Zbl 1204.76022 J. Appl. Math. 2011, Article ID 129724, 16 p. (2011). MSC: 76M10 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Z. Chen}, J. Appl. Math. 2011, Article ID 129724, 16 p. (2011; Zbl 1204.76022) Full Text: DOI EuDML
Li, Jian; Shen, Lihua; Chen, Zhangxin Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations. (English) Zbl 1275.76163 BIT 50, No. 4, 823-842 (2010). MSC: 76M12 76D05 65N08 65N12 PDFBibTeX XMLCite \textit{J. Li} et al., BIT 50, No. 4, 823--842 (2010; Zbl 1275.76163) Full Text: DOI
Li, Jian; He, Yinnian; Chen, Zhangxin Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs. (English) Zbl 1176.65136 Computing 86, No. 1, 37-51 (2009). MSC: 65N30 35J25 76D07 65N12 76M10 PDFBibTeX XMLCite \textit{J. Li} et al., Computing 86, No. 1, 37--51 (2009; Zbl 1176.65136) Full Text: DOI
Li, Jian; Chen, Zhangxin A new stabilized finite volume method for the stationary Stokes equations. (English) Zbl 1187.65120 Adv. Comput. Math. 30, No. 2, 141-152 (2009). Reviewer: Maria Christina Mariani (El Paso) MSC: 65N08 35Q30 65N30 76D07 76M12 65N12 65N15 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Chen}, Adv. Comput. Math. 30, No. 2, 141--152 (2009; Zbl 1187.65120) Full Text: DOI
Li, Jian; Chen, Zhangxin A new local stabilized nonconforming finite element method for the Stokes equations. (English) Zbl 1155.65101 Computing 82, No. 2-3, 157-170 (2008). Reviewer: Ziwen Jiang (Shandong) MSC: 65N30 35Q30 65N15 65N12 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Chen}, Computing 82, No. 2--3, 157--170 (2008; Zbl 1155.65101) Full Text: DOI