Mu, Lin; Ye, Xiu; Zhang, Shangyou Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem. (English) Zbl 1490.65284 J. Sci. Comput. 89, No. 1, Paper No. 26, 25 p. (2021). MSC: 65N30 35B45 35J50 65N15 76D07 PDFBibTeX XMLCite \textit{L. Mu} et al., J. Sci. Comput. 89, No. 1, Paper No. 26, 25 p. (2021; Zbl 1490.65284) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A numerical scheme with divergence free \(H\)-\(\operatorname{div}\) triangular finite element for the Stokes equations. (English) Zbl 1476.65312 Appl. Numer. Math. 167, 211-217 (2021). MSC: 65N30 65F35 76D07 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Appl. Numer. Math. 167, 211--217 (2021; Zbl 1476.65312) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A stabilizer-free pressure-robust finite element method for the Stokes equations. (English) Zbl 1473.65323 Adv. Comput. Math. 47, No. 2, Paper No. 28, 17 p. (2021). MSC: 65N30 65N15 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Adv. Comput. Math. 47, No. 2, Paper No. 28, 17 p. (2021; Zbl 1473.65323) Full Text: DOI arXiv
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou A discrete divergence free weak Galerkin finite element method for the Stokes equations. (English) Zbl 1378.76051 Appl. Numer. Math. 125, 172-182 (2018). MSC: 76M10 76D10 PDFBibTeX XMLCite \textit{L. Mu} et al., Appl. Numer. Math. 125, 172--182 (2018; Zbl 1378.76051) Full Text: DOI arXiv
Mu, Lin; Ye, Xiu A simple finite element method for the Stokes equations. (English) Zbl 1380.76043 Adv. Comput. Math. 43, No. 6, 1305-1324 (2017). MSC: 76M10 65N15 65N30 35Q30 76D07 35B45 35J50 PDFBibTeX XMLCite \textit{L. Mu} and \textit{X. Ye}, Adv. Comput. Math. 43, No. 6, 1305--1324 (2017; Zbl 1380.76043) Full Text: DOI arXiv
Wang, Junping; Ye, Xiu A weak Galerkin finite element method for the Stokes equations. (English) Zbl 1382.76178 Adv. Comput. Math. 42, No. 1, 155-174 (2016). MSC: 76M10 65N30 35A35 35Q35 65N15 76D07 PDFBibTeX XMLCite \textit{J. Wang} and \textit{X. Ye}, Adv. Comput. Math. 42, No. 1, 155--174 (2016; Zbl 1382.76178) Full Text: DOI arXiv
Mu, Lin; Wang, Xiaoshen; Ye, Xiu A modified weak Galerkin finite element method for the Stokes equations. (English) Zbl 1310.65148 J. Comput. Appl. Math. 275, 79-90 (2015). MSC: 65N30 65N15 76D07 35B45 35J50 PDFBibTeX XMLCite \textit{L. Mu} et al., J. Comput. Appl. Math. 275, 79--90 (2015; Zbl 1310.65148) Full Text: DOI
Liu, Jiangguo; Mu, Lin; Ye, Xiu; Jari, Rabeea Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity. (English) Zbl 1257.65061 J. Comput. Appl. Math. 236, No. 17, 4537-4546 (2012). Reviewer: Petr Sváček (Praha) MSC: 65N12 65N08 65N15 35J25 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Appl. Math. 236, No. 17, 4537--4546 (2012; Zbl 1257.65061) Full Text: DOI
Wang, Junping; Wang, Yanqiu; Ye, Xiu A new finite volume method for the Stokes problems. (English) Zbl 1499.65622 Int. J. Numer. Anal. Model. 7, No. 2, 281-302 (2010). MSC: 65N08 65N15 65N30 76D07 35B45 35J50 65N12 76M12 76M10 35Q35 PDFBibTeX XMLCite \textit{J. Wang} et al., Int. J. Numer. Anal. Model. 7, No. 2, 281--302 (2010; Zbl 1499.65622) Full Text: Link
Li, Jian; Wang, Junping; Ye, Xiu Superconvergence by \(L^2\)-projections for stabilized finite element methods for the Stokes equations. (English) Zbl 1499.65672 Int. J. Numer. Anal. Model. 6, No. 4, 711-723 (2009). MSC: 65N30 65N15 76D07 65N12 65K10 35Q35 PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Numer. Anal. Model. 6, No. 4, 711--723 (2009; Zbl 1499.65672) Full Text: Link
Wang, Xiaoshen; Ye, Xiu Superconvergence analysis for the Navier-Stokes equations. (English) Zbl 1034.76034 Appl. Numer. Math. 41, No. 4, 515-527 (2002). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{X. Wang} and \textit{X. Ye}, Appl. Numer. Math. 41, No. 4, 515--527 (2002; Zbl 1034.76034) Full Text: DOI
Ye, Xiu On the relationship between finite volume and finite element methods applied to the Stokes equations. (English) Zbl 1017.76057 Numer. Methods Partial Differ. Equations 17, No. 5, 440-453 (2001). MSC: 76M12 76M10 76D07 PDFBibTeX XMLCite \textit{X. Ye}, Numer. Methods Partial Differ. Equations 17, No. 5, 440--453 (2001; Zbl 1017.76057) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. (English) Zbl 0941.65115 M2AN, Math. Model. Numer. Anal. 33, No. 4, 747-770 (1999). Reviewer: P.Burda (Praha) MSC: 65N30 65N55 35J25 65F10 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., M2AN, Math. Model. Numer. Anal. 33, No. 4, 747--770 (1999; Zbl 0941.65115) Full Text: DOI EuDML Link
Ye, Xiu; Anderson, Gary The derivation of minimal support basis functions for the discrete divergence operator. (English) Zbl 0834.76053 J. Comput. Appl. Math. 61, No. 1, 105-116 (1995). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{X. Ye} and \textit{G. Anderson}, J. Comput. Appl. Math. 61, No. 1, 105--116 (1995; Zbl 0834.76053) Full Text: DOI
Ye, Xiu; Hall, Charles A. The construction of a null basis for a discrete divergence operator. (English) Zbl 0831.76048 J. Comput. Appl. Math. 58, No. 2, 117-133 (1995). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{X. Ye} and \textit{C. A. Hall}, J. Comput. Appl. Math. 58, No. 2, 117--133 (1995; Zbl 0831.76048) Full Text: DOI
Hall, Charles A.; Ye, Xiu Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations. (English) Zbl 0765.76063 Linear Algebra Appl. 171, 9-52 (1992). MSC: 76M25 76M10 76D05 PDFBibTeX XMLCite \textit{C. A. Hall} and \textit{X. Ye}, Linear Algebra Appl. 171, 9--52 (1992; Zbl 0765.76063) Full Text: DOI