Ye, Xiu; Zhang, Shangyou A conforming DG method for the biharmonic equation on polytopal meshes. (English) Zbl 07793828 Int. J. Numer. Anal. Model. 20, No. 6, 855-869 (2023). MSC: 65N15 65N30 76D07 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Int. J. Numer. Anal. Model. 20, No. 6, 855--869 (2023; Zbl 07793828) Full Text: DOI arXiv
Wang, Junping; Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou; Zhu, Peng Two-order superconvergence for a weak Galerkin method on rectangular and cuboid grids. (English) Zbl 07779729 Numer. Methods Partial Differ. Equations 39, No. 1, 744-758 (2023). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{J. Wang} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 744--758 (2023; Zbl 07779729) Full Text: DOI
Ye, Xiu; Zhang, Shangyou Constructing order two superconvergent WG finite elements on rectangular meshes. (English) Zbl 1524.65872 Numer. Math., Theory Methods Appl. 16, No. 1, 230-241 (2023). MSC: 65N30 65N15 65N12 35J25 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Numer. Math., Theory Methods Appl. 16, No. 1, 230--241 (2023; Zbl 1524.65872) Full Text: DOI
Lin, Yanping; Ye, Xiu; Zhang, Shangyou A mixed finite-element method on polytopal mesh. (English) Zbl 1513.65466 Commun. Appl. Math. Comput. 4, No. 4, 1374-1385 (2022). MSC: 65N30 65N15 35B45 35J50 35J15 65N12 PDFBibTeX XMLCite \textit{Y. Lin} et al., Commun. Appl. Math. Comput. 4, No. 4, 1374--1385 (2022; Zbl 1513.65466) Full Text: DOI arXiv
Ye, Xiu; Zhang, Shangyou A \(C^0\)-conforming DG finite element method for biharmonic equations on triangle/tetrahedron. (English) Zbl 1517.65121 J. Numer. Math. 30, No. 3, 163-172 (2022). MSC: 65N30 65N50 65N15 65N12 31A30 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, J. Numer. Math. 30, No. 3, 163--172 (2022; Zbl 1517.65121) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A family of H-div-div mixed triangular finite elements for the biharmonic equation. (English) Zbl 1497.65240 Results Appl. Math. 15, Article ID 100318, 16 p. (2022). MSC: 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Results Appl. Math. 15, Article ID 100318, 16 p. (2022; Zbl 1497.65240) Full Text: DOI
Gao, Fuzheng; Ye, Xiu; Zhang, Shangyou A discontinuous Galerkin finite element method without interior penalty terms. (English) Zbl 1499.65659 Adv. Appl. Math. Mech. 14, No. 2, 299-314 (2022). MSC: 65N30 65N15 65N12 35J05 PDFBibTeX XMLCite \textit{F. Gao} et al., Adv. Appl. Math. Mech. 14, No. 2, 299--314 (2022; Zbl 1499.65659) Full Text: DOI
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
Mu, Lin; Ye, Xiu; Zhang, Shangyou A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. (English) Zbl 1486.65259 SIAM J. Sci. Comput. 43, No. 4, A2614-A2637 (2021). MSC: 65N30 65N12 65N15 76D07 35B45 35J50 PDFBibTeX XMLCite \textit{L. Mu} et al., SIAM J. Sci. Comput. 43, No. 4, A2614--A2637 (2021; Zbl 1486.65259) Full Text: DOI arXiv
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 weak Galerkin finite element method on polytopal mesh. II. (English) Zbl 1475.65205 J. Comput. Appl. Math. 394, Article ID 113525, 11 p. (2021). MSC: 65N30 65N15 35J50 35J25 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, J. Comput. Appl. Math. 394, Article ID 113525, 11 p. (2021; Zbl 1475.65205) Full Text: DOI arXiv
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
Wang, Junping; Ye, Xiu; Zhang, Shangyou Numerical investigation on weak Galerkin finite elements. (English) Zbl 1488.65656 Int. J. Numer. Anal. Model. 17, No. 4, 517-531 (2020). MSC: 65N30 65N15 35J50 35J15 PDFBibTeX XMLCite \textit{J. Wang} et al., Int. J. Numer. Anal. Model. 17, No. 4, 517--531 (2020; Zbl 1488.65656) Full Text: Link
Ye, Xiu; Zhang, Shangyou A conforming discontinuous Galerkin finite element method. II. (English) Zbl 1465.65151 Int. J. Numer. Anal. Model. 17, No. 2, 281-296 (2020). MSC: 65N30 65N15 35B35 35J05 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Int. J. Numer. Anal. Model. 17, No. 2, 281--296 (2020; Zbl 1465.65151) Full Text: Link
Ye, Xiu; Zhang, Shangyou A conforming discontinuous Galerkin finite element method. (English) Zbl 1465.65150 Int. J. Numer. Anal. Model. 17, No. 1, 110-117 (2020). MSC: 65N30 65N15 35J15 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Int. J. Numer. Anal. Model. 17, No. 1, 110--117 (2020; Zbl 1465.65150) Full Text: Link
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin A locking-free weak Galerkin finite element method for Reissner-Mindlin plate on polygonal meshes. (English) Zbl 1447.65167 Comput. Math. Appl. 80, No. 5, 906-916 (2020). MSC: 65N30 74K30 74S05 35Q74 PDFBibTeX XMLCite \textit{X. Ye} et al., Comput. Math. Appl. 80, No. 5, 906--916 (2020; Zbl 1447.65167) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A stabilizer-free weak Galerkin finite element method on polytopal meshes. (English) Zbl 1434.65285 J. Comput. Appl. Math. 371, Article ID 112699, 9 p. (2020). MSC: 65N30 65N15 35J50 35J15 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, J. Comput. Appl. Math. 371, Article ID 112699, 9 p. (2020; Zbl 1434.65285) Full Text: DOI arXiv
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin A new \(P_1\) weak Galerkin method for the biharmonic equation. (English) Zbl 1427.65342 J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020). MSC: 65N15 65N30 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{X. Ye} et al., J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020; Zbl 1427.65342) Full Text: DOI
Ye, Xiu; Zhang, Shangyou; Zhu, Peng A discontinuous Galerkin least-squares method for div-curl systems. (English) Zbl 1428.65097 J. Comput. Appl. Math. 367, Article ID 112474, 10 p. (2020). MSC: 65N30 65N15 76D07 35B45 35J50 PDFBibTeX XMLCite \textit{X. Ye} et al., J. Comput. Appl. Math. 367, Article ID 112474, 10 p. (2020; Zbl 1428.65097) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A discontinuous least-squares finite-element method for second-order elliptic equations. (English) Zbl 1499.65690 Int. J. Comput. Math. 96, No. 3, 557-567 (2019). MSC: 65N30 65N15 35B45 35J50 35J25 65N12 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Int. J. Comput. Math. 96, No. 3, 557--567 (2019; Zbl 1499.65690) Full Text: DOI
Li, Hengguang; Mu, Lin; Ye, Xiu A posteriori error estimates for the weak Galerkin finite element methods on polytopal meshes. (English) Zbl 1473.65268 Commun. Comput. Phys. 26, No. 2, 558-578 (2019). MSC: 65N15 65N30 35J50 PDFBibTeX XMLCite \textit{H. Li} et al., Commun. Comput. Phys. 26, No. 2, 558--578 (2019; Zbl 1473.65268) Full Text: DOI
Hu, Xiaozhe; Mu, Lin; Ye, Xiu A weak Galerkin finite element method for the Navier-Stokes equations. (English) Zbl 1422.65389 J. Comput. Appl. Math. 362, 614-625 (2019). MSC: 65N30 76D05 76M10 PDFBibTeX XMLCite \textit{X. Hu} et al., J. Comput. Appl. Math. 362, 614--625 (2019; Zbl 1422.65389) Full Text: DOI
Wang, Ruishu; Mu, Lin; Ye, Xiu A locking free Reissner-Mindlin element with weak Galerkin rotations. (English) Zbl 1407.65301 Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 351-361 (2019). MSC: 65N30 74K20 74S05 65N15 PDFBibTeX XMLCite \textit{R. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 351--361 (2019; Zbl 1407.65301) Full Text: DOI
Hu, Xiaozhe; Mu, Lin; Ye, Xiu Weak Galerkin method for the Biot’s consolidation model. (English) Zbl 1409.76063 Comput. Math. Appl. 75, No. 6, 2017-2030 (2018). MSC: 76M10 65N30 35Q35 PDFBibTeX XMLCite \textit{X. Hu} et al., Comput. Math. Appl. 75, No. 6, 2017--2030 (2018; Zbl 1409.76063) Full Text: DOI Link
Li, Jichun; Ye, Xiu; Zhang, Shangyou A weak Galerkin least-squares finite element method for div-curl systems. (English) Zbl 1398.65306 J. Comput. Phys. 363, 79-86 (2018). MSC: 65N30 78A25 78M10 PDFBibTeX XMLCite \textit{J. Li} et al., J. Comput. Phys. 363, 79--86 (2018; Zbl 1398.65306) Full Text: DOI
Lin, Runchang; Ye, Xiu; Zhang, Shangyou; Zhu, Peng A weak Galerkin finite element method for singularly perturbed convection-diffusion-reaction problems. (English) Zbl 1448.65239 SIAM J. Numer. Anal. 56, No. 3, 1482-1497 (2018). MSC: 65N30 65N15 35J25 35B25 PDFBibTeX XMLCite \textit{R. Lin} et al., SIAM J. Numer. Anal. 56, No. 3, 1482--1497 (2018; Zbl 1448.65239) Full Text: DOI
Mu, Lin; Wang, Junping; Ye, Xiu A weak Galerkin method for the Reissner-Mindlin plate in primary form. (English) Zbl 1398.65273 J. Sci. Comput. 75, No. 2, 782-802 (2018). MSC: 65N15 65N30 35J50 PDFBibTeX XMLCite \textit{L. Mu} et al., J. Sci. Comput. 75, No. 2, 782--802 (2018; Zbl 1398.65273) Full Text: DOI
Mu, Lin; Ye, Xiu A simple finite element method for linear hyperbolic problems. (English) Zbl 1376.65129 J. Comput. Appl. Math. 330, 330-339 (2018). MSC: 65M60 35L04 65M15 PDFBibTeX XMLCite \textit{L. Mu} and \textit{X. Ye}, J. Comput. Appl. Math. 330, 330--339 (2018; Zbl 1376.65129) Full Text: DOI Link
Zhai, Qilong; Ye, Xiu; Wang, Ruishu; Zhang, Ran A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems. (English) Zbl 1397.65297 Comput. Math. Appl. 74, No. 10, 2243-2252 (2017). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{Q. Zhai} et al., Comput. Math. Appl. 74, No. 10, 2243--2252 (2017; Zbl 1397.65297) Full Text: DOI arXiv
Mu, Lin; Wang, Junping; Ye, Xiu Effective implementation of the weak Galerkin finite element methods for the biharmonic equation. (English) Zbl 1397.65283 Comput. Math. Appl. 74, No. 6, 1215-1222 (2017). MSC: 65N30 35J40 PDFBibTeX XMLCite \textit{L. Mu} et al., Comput. Math. Appl. 74, No. 6, 1215--1222 (2017; Zbl 1397.65283) 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
Mu, Lin; Wang, Junping; Ye, Xiu A least-squares-based weak Galerkin finite element method for second order elliptic equations. (English) Zbl 1404.65233 SIAM J. Sci. Comput. 39, No. 4, A1531-A1557 (2017). MSC: 65N15 65N30 76D07 35B45 35J50 76S05 35K57 PDFBibTeX XMLCite \textit{L. Mu} et al., SIAM J. Sci. Comput. 39, No. 4, A1531--A1557 (2017; Zbl 1404.65233) Full Text: DOI
Mu, Lin; Wang, Junping; Ye, Xiu A hybridized formulation for the weak Galerkin mixed finite element method. (English) Zbl 1338.76063 J. Comput. Appl. Math. 307, 335-345 (2016). MSC: 76M10 65N30 65N15 35J20 76S05 35J46 PDFBibTeX XMLCite \textit{L. Mu} et al., J. Comput. Appl. Math. 307, 335--345 (2016; Zbl 1338.76063) 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
Chen, Long; Wang, Junping; Wang, Yanqiu; Ye, Xiu An auxiliary space multigrid preconditioner for the weak Galerkin method. (English) Zbl 1443.65319 Comput. Math. Appl. 70, No. 4, 330-344 (2015). MSC: 65N30 65F08 65N55 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Math. Appl. 70, No. 4, 330--344 (2015; Zbl 1443.65319) 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
Mu, Lin; Wang, Junping; Ye, Xiu A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods. (English) Zbl 1351.76072 J. Comput. Phys. 273, 327-342 (2014). MSC: 76M10 65N30 65N12 65N15 76S05 PDFBibTeX XMLCite \textit{L. Mu} et al., J. Comput. Phys. 273, 327--342 (2014; Zbl 1351.76072) Full Text: DOI arXiv
Lin, Guang; Liu, Jiangguo; Mu, Lin; Ye, Xiu Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity. (English) Zbl 1349.76234 J. Comput. Phys. 276, 422-437 (2014). MSC: 76M10 65N30 76S05 PDFBibTeX XMLCite \textit{G. Lin} et al., J. Comput. Phys. 276, 422--437 (2014; Zbl 1349.76234) Full Text: DOI
Mu, Lin; Wang, Junping; Ye, Xiu; Zhang, Shangyou A \(C^0\)-weak Galerkin finite element method for the biharmonic equation. (English) Zbl 1305.65233 J. Sci. Comput. 59, No. 2, 473-495 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N15 35J40 PDFBibTeX XMLCite \textit{L. Mu} et al., J. Sci. Comput. 59, No. 2, 473--495 (2014; Zbl 1305.65233) Full Text: DOI arXiv
Wang, Junping; Ye, Xiu A weak Galerkin mixed finite element method for second order elliptic problems. (English) Zbl 1308.65202 Math. Comput. 83, No. 289, 2101-2126 (2014). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. Wang} and \textit{X. Ye}, Math. Comput. 83, No. 289, 2101--2126 (2014; Zbl 1308.65202) Full Text: DOI arXiv
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes. (English) Zbl 1291.65347 J. Comput. Appl. Math. 255, 432-440 (2014). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{L. Mu} et al., J. Comput. Appl. Math. 255, 432--440 (2014; Zbl 1291.65347) Full Text: DOI arXiv
Mu, Lin; Wang, Junping; Ye, Xiu Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. (English) Zbl 1314.65151 Numer. Methods Partial Differ. Equations 30, No. 3, 1003-1029 (2014). Reviewer: I. N. Katz (St. Louis) MSC: 65N30 35J40 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{L. Mu} et al., Numer. Methods Partial Differ. Equations 30, No. 3, 1003--1029 (2014; Zbl 1314.65151) Full Text: DOI arXiv
Mu, Lin; Wang, Junping; Wang, Yanqiu; Ye, Xiu A computational study of the weak Galerkin method for second-order elliptic equations. (English) Zbl 1271.65140 Numer. Algorithms 63, No. 4, 753-777 (2013). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{L. Mu} et al., Numer. Algorithms 63, No. 4, 753--777 (2013; Zbl 1271.65140) Full Text: DOI arXiv
Liu, Jiangguo; Mu, Lin; Ye, Xiu \(L_2\) error estimation for DGFEM for elliptic problems with low regularity. (English) Zbl 1252.65184 Appl. Math. Lett. 25, No. 11, 1614-1618 (2012). MSC: 65N15 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math. Lett. 25, No. 11, 1614--1618 (2012; Zbl 1252.65184) 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
Ye, Xiu A posterior error estimate for finite volume methods of the second order elliptic problem. (English) Zbl 1227.65104 Numer. Methods Partial Differ. Equations 27, No. 5, 1165-1178 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N08 35J25 PDFBibTeX XMLCite \textit{X. Ye}, Numer. Methods Partial Differ. Equations 27, No. 5, 1165--1178 (2011; Zbl 1227.65104) 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
Cui, Ming; Ye, Xiu Superconvergence of finite volume methods for the Stokes equations. (English) Zbl 1170.76037 Numer. Methods Partial Differ. Equations 25, No. 5, 1212-1230 (2009). MSC: 76M12 76D07 65N12 PDFBibTeX XMLCite \textit{M. Cui} and \textit{X. Ye}, Numer. Methods Partial Differ. Equations 25, No. 5, 1212--1230 (2009; Zbl 1170.76037) Full Text: DOI
Chou, So-Hsiang; Ye, Xiu Superconvergence of finite volume methods for the second-order elliptic problem. (English) Zbl 1173.65354 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3706-3712 (2007). MSC: 65N30 65N12 65N15 76D07 35B45 35J50 PDFBibTeX XMLCite \textit{S.-H. Chou} and \textit{X. Ye}, Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3706--3712 (2007; Zbl 1173.65354) Full Text: DOI
Lazarov, Raytcho; Ye, Xiu Stabilized discontinuous finite element approximations for Stokes equations. (English) Zbl 1101.76035 J. Comput. Appl. Math. 198, No. 1, 236-252 (2007). MSC: 76M10 76D07 74S05 74B05 65N30 65N15 PDFBibTeX XMLCite \textit{R. Lazarov} and \textit{X. Ye}, J. Comput. Appl. Math. 198, No. 1, 236--252 (2007; Zbl 1101.76035) Full Text: DOI
Ye, Xiu; Xu, Chaoyong A discontinuous Galerkin method for the Reissner-Mindlin plate in the primitive variables. (English) Zbl 1044.74045 Appl. Math. Comput. 149, No. 1, 65-82 (2004). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{X. Ye} and \textit{C. Xu}, Appl. Math. Comput. 149, No. 1, 65--82 (2004; Zbl 1044.74045) Full Text: DOI
Ye, Xiu A rectangular element for the Reissner-Mindlin plate. (English) Zbl 0959.74076 Numer. Methods Partial Differ. Equations 16, No. 2, 184-193 (2000). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{X. Ye}, Numer. Methods Partial Differ. Equations 16, No. 2, 184--193 (2000; Zbl 0959.74076) Full Text: DOI
Chai, Zhiqiang; Ye, Xiu; Zhang, Huilong Least-squares finite element approximations for the Reissner-Mindlin plate. (English) Zbl 0982.74062 Numer. Linear Algebra Appl. 6, No. 6, 479-496 (1999). Reviewer: Ivan Hlaváček (Praha) MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{Z. Chai} et al., Numer. Linear Algebra Appl. 6, No. 6, 479--496 (1999; Zbl 0982.74062) 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, X. Domain decomposition for a least-square finite element method for second order elliptic problem. (English) Zbl 0942.65136 Appl. Math. Comput. 91, No. 2-3, 233-242 (1998). MSC: 65N55 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{X. Ye}, Appl. Math. Comput. 91, No. 2--3, 233--242 (1998; Zbl 0942.65136) Full Text: DOI
Ye, Xiu; Hall, Charles A. The construction of an optimal weakly divergence-free macroelement. (English) Zbl 0780.76046 Int. J. Numer. Methods Eng. 36, No. 13, 2245-2262 (1993). MSC: 76M10 76D05 65M60 PDFBibTeX XMLCite \textit{X. Ye} and \textit{C. A. Hall}, Int. J. Numer. Methods Eng. 36, No. 13, 2245--2262 (1993; Zbl 0780.76046) Full Text: DOI