Boffi, Daniele (ed.); Carstensen, Carsten (ed.); Ern, Alexandre (ed.); Hu, Jun (ed.) Nonstandard finite element methods. Abstracts from the workshop held January 10–16, 2021 (hybrid meeting). (English) Zbl 1487.00033 Oberwolfach Rep. 18, No. 1, 87-148 (2021). MSC: 00B05 00B25 65-06 65N30 PDFBibTeX XMLCite \textit{D. Boffi} (ed.) et al., Oberwolfach Rep. 18, No. 1, 87--148 (2021; Zbl 1487.00033) Full Text: DOI
Hong, Qingguo; Hu, Jun; Ma, Limin; Xu, Jinchao New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor. (English) Zbl 1480.65336 Numer. Math. 149, No. 3, 645-678 (2021). MSC: 65N30 65N12 74B10 74S05 35Q74 PDFBibTeX XMLCite \textit{Q. Hong} et al., Numer. Math. 149, No. 3, 645--678 (2021; Zbl 1480.65336) Full Text: DOI arXiv
Hu, Jun; Ma, Rui; Zhang, Min A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids. (English) Zbl 1491.65141 Sci. China, Math. 64, No. 12, 2793-2816 (2021). MSC: 65N30 65N12 31A30 74S05 PDFBibTeX XMLCite \textit{J. Hu} et al., Sci. China, Math. 64, No. 12, 2793--2816 (2021; Zbl 1491.65141) Full Text: DOI arXiv
Hu, Jun; Ma, Rui Partial relaxation of \(C^0\) vertex continuity of stresses of conforming mixed finite elements for the elasticity problem. (English) Zbl 1473.65303 Comput. Methods Appl. Math. 21, No. 1, 89-108 (2021). MSC: 65N30 74B05 PDFBibTeX XMLCite \textit{J. Hu} and \textit{R. Ma}, Comput. Methods Appl. Math. 21, No. 1, 89--108 (2021; Zbl 1473.65303) Full Text: DOI arXiv
Carstensen, Carsten; Hu, Jun Hierarchical Argyris finite element method for adaptive and multigrid algorithms. (English) Zbl 1473.65291 Comput. Methods Appl. Math. 21, No. 3, 529-556 (2021). MSC: 65N30 65N12 65N15 65N50 65N55 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{J. Hu}, Comput. Methods Appl. Math. 21, No. 3, 529--556 (2021; Zbl 1473.65291) Full Text: DOI
Hu, Jun; Ma, Limin; Ma, Rui Optimal superconvergence analysis for the Crouzeix-Raviart and the Morley elements. (English) Zbl 1477.65220 Adv. Comput. Math. 47, No. 4, Paper No. 52, 25 p. (2021). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{J. Hu} et al., Adv. Comput. Math. 47, No. 4, Paper No. 52, 25 p. (2021; Zbl 1477.65220) Full Text: DOI arXiv
Hu, Jun; Tian, Shudan; Zhang, Shangyou A family of 3D \(H^2\)-nonconforming tetrahedral finite elements for the biharmonic equation. (English) Zbl 1446.65171 Sci. China, Math. 63, No. 8, 1505-1522 (2020). MSC: 65N30 65N15 31A30 PDFBibTeX XMLCite \textit{J. Hu} et al., Sci. China, Math. 63, No. 8, 1505--1522 (2020; Zbl 1446.65171) Full Text: DOI arXiv
Hu, Jun; Ma, Limin Asymptotically exact a posteriori error estimates of eigenvalues by the Crouzeix-Raviart element and enriched Crouzeix-Raviart element. (English) Zbl 1432.65168 SIAM J. Sci. Comput. 42, No. 2, A797-A821 (2020). MSC: 65N30 65N25 65N15 PDFBibTeX XMLCite \textit{J. Hu} and \textit{L. Ma}, SIAM J. Sci. Comput. 42, No. 2, A797--A821 (2020; Zbl 1432.65168) Full Text: DOI arXiv
Hu, Jun; Zhang, Shangyou A cubic \(H^3\)-nonconforming finite element. (English) Zbl 1449.65315 Commun. Appl. Math. Comput. 1, No. 1, 81-100 (2019). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{J. Hu} and \textit{S. Zhang}, Commun. Appl. Math. Comput. 1, No. 1, 81--100 (2019; Zbl 1449.65315) Full Text: DOI
Chen, Long; Hu, Jun; Huang, Xuehai Multigrid methods for Hellan-Herrmann-Johnson mixed method of Kirchhoff plate bending problems. (English) Zbl 1404.65300 J. Sci. Comput. 76, No. 2, 673-696 (2018). MSC: 65N55 35Q74 74K20 65N12 65N30 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Sci. Comput. 76, No. 2, 673--696 (2018; Zbl 1404.65300) Full Text: DOI arXiv
Chen, Long; Hu, Jun; Huang, Xuehai Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\). (English) Zbl 1422.65378 Comput. Methods Appl. Math. 17, No. 1, 17-31 (2017). MSC: 65N30 65N12 65N15 74S05 74B05 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Math. 17, No. 1, 17--31 (2017; Zbl 1422.65378) Full Text: DOI arXiv
Hu, Jun; Man, Hongying; Wang, Jianye; Zhang, Shangyou The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on \(n\)-rectangular grids. (English) Zbl 1443.65338 Comput. Math. Appl. 71, No. 7, 1317-1336 (2016). MSC: 65N30 74B05 PDFBibTeX XMLCite \textit{J. Hu} et al., Comput. Math. Appl. 71, No. 7, 1317--1336 (2016; Zbl 1443.65338) Full Text: DOI
Hu, Jun; Yang, Xueqin; Zhang, Shuo Capacity of the Adini element for biharmonic equations. (English) Zbl 1382.65403 J. Sci. Comput. 69, No. 3, 1366-1383 (2016). Reviewer: I. N. Katz (St. Louis) MSC: 65N30 35J40 65N12 65N15 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 69, No. 3, 1366--1383 (2016; Zbl 1382.65403) Full Text: DOI arXiv
Hu, Jun; Shi, Zhongci; Yang, Xueqin Superconvergence of three dimensional Morley elements on cuboid meshes for biharmonic equations. (English) Zbl 1356.65233 Adv. Comput. Math. 42, No. 6, 1453-1471 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 65N15 35J40 PDFBibTeX XMLCite \textit{J. Hu} et al., Adv. Comput. Math. 42, No. 6, 1453--1471 (2016; Zbl 1356.65233) Full Text: DOI arXiv
Hu, Jun; Zhang, Shangyou Finite element approximations of symmetric tensors on simplicial grids in \(\mathbb{R}^n\): the lower order case. (English) Zbl 1348.65164 Math. Models Methods Appl. Sci. 26, No. 9, 1649-1669 (2016). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N15 65N50 35J25 PDFBibTeX XMLCite \textit{J. Hu} and \textit{S. Zhang}, Math. Models Methods Appl. Sci. 26, No. 9, 1649--1669 (2016; Zbl 1348.65164) Full Text: DOI arXiv
Hu, Jun; Huang, Yunqing; Ma, Rui Guaranteed lower bounds for eigenvalues of elliptic operators. (English) Zbl 1343.65131 J. Sci. Comput. 67, No. 3, 1181-1197 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N25 65N30 65N15 35J25 35P15 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 67, No. 3, 1181--1197 (2016; Zbl 1343.65131) Full Text: DOI
Hu, Jun; Ma, Rui Superconvergence of both the Crouzeix-Raviart and Morley elements. (English) Zbl 1352.65436 Numer. Math. 132, No. 3, 491-509 (2016). Reviewer: Zhiming Chen (Beijing) MSC: 65N12 65N30 65N15 35J05 35J40 PDFBibTeX XMLCite \textit{J. Hu} and \textit{R. Ma}, Numer. Math. 132, No. 3, 491--509 (2016; Zbl 1352.65436) Full Text: DOI arXiv
Hu, Jun A robust prolongation operator for non-nested finite element methods. (English) Zbl 1360.76141 Comput. Math. Appl. 69, No. 3, 235-246 (2015). MSC: 76M10 65N30 76D07 65N15 PDFBibTeX XMLCite \textit{J. Hu}, Comput. Math. Appl. 69, No. 3, 235--246 (2015; Zbl 1360.76141) Full Text: DOI
Hu, Jun; Yang, Xueqin Lower bounds of eigenvalues of the biharmonic operators by the rectangular Morley element methods. (English) Zbl 1344.65108 Numer. Methods Partial Differ. Equations 31, No. 5, 1623-1644 (2015). Reviewer: Mahmoud Annaby (Giza) MSC: 65N25 35P15 65N30 35J40 PDFBibTeX XMLCite \textit{J. Hu} and \textit{X. Yang}, Numer. Methods Partial Differ. Equations 31, No. 5, 1623--1644 (2015; Zbl 1344.65108) Full Text: DOI arXiv
Hu, Jun; Huang, Yunqing; Shen, Quan Constructing both lower and upper bounds for the eigenvalues of elliptic operators by nonconforming finite element methods. (English) Zbl 1326.65156 Numer. Math. 131, No. 2, 273-302 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N25 65N30 65N15 35J25 35P15 PDFBibTeX XMLCite \textit{J. Hu} et al., Numer. Math. 131, No. 2, 273--302 (2015; Zbl 1326.65156) Full Text: DOI
Hu, Jun; Ma, Rui The enriched Crouzeix-Raviart elements are equivalent to the Raviart-Thomas elements. (English) Zbl 1319.65111 J. Sci. Comput. 63, No. 2, 410-425 (2015). MSC: 65N30 65N15 65N25 35J05 35Q30 35P15 PDFBibTeX XMLCite \textit{J. Hu} and \textit{R. Ma}, J. Sci. Comput. 63, No. 2, 410--425 (2015; Zbl 1319.65111) Full Text: DOI arXiv
Hu, Jun A new family of efficient conforming mixed finite elements on both rectangular and cuboid meshes for linear elasticity in the symmetric formulation. (English) Zbl 1328.65242 SIAM J. Numer. Anal. 53, No. 3, 1438-1463 (2015). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. Hu}, SIAM J. Numer. Anal. 53, No. 3, 1438--1463 (2015; Zbl 1328.65242) Full Text: DOI arXiv
Hu, Jun; Zhang, ShangYou A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids. (English) Zbl 1308.74148 Sci. China, Math. 58, No. 2, 297-307 (2015). MSC: 74S05 65N30 74C05 PDFBibTeX XMLCite \textit{J. Hu} and \textit{S. Zhang}, Sci. China, Math. 58, No. 2, 297--307 (2015; Zbl 1308.74148) Full Text: DOI arXiv
Hu, Jun; Zhang, Shangyou The minimal conforming \(H^{k}\) finite element spaces on \(\mathbb R^{n}\) rectangular grids. (English) Zbl 1307.65167 Math. Comput. 84, No. 292, 563-579 (2015). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{J. Hu} and \textit{S. Zhang}, Math. Comput. 84, No. 292, 563--579 (2015; Zbl 1307.65167) Full Text: DOI
Carstensen, Carsten; Gallistl, Dietmar; Hu, Jun A discrete Helmholtz decomposition with morley finite element functions and the optimality of adaptive finite element schemes. (English) Zbl 1362.65123 Comput. Math. Appl. 68, No. 12, Part B, 2167-2181 (2014). MSC: 65N30 65N12 65N50 65M55 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Comput. Math. Appl. 68, No. 12, Part B, 2167--2181 (2014; Zbl 1362.65123) Full Text: DOI
Hu, Jun; Ma, Rui; Shi, Zhongci A new a priori error estimate of nonconforming finite element methods. (English) Zbl 1309.65125 Sci. China, Math. 57, No. 5, 887-902 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N15 65N30 35J25 35J40 35J05 PDFBibTeX XMLCite \textit{J. Hu} et al., Sci. China, Math. 57, No. 5, 887--902 (2014; Zbl 1309.65125) Full Text: DOI
Hu, Jun; Huang, Yunqing; Lin, Qun Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods. (English) Zbl 1335.65089 J. Sci. Comput. 61, No. 1, 196-221 (2014). MSC: 65N25 65N30 35J25 35P15 65N15 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 61, No. 1, 196--221 (2014; Zbl 1335.65089) Full Text: DOI arXiv
Hu, Jun; Huang, Yunqing; Shen, Quan The lower/upper bound property of approximate eigenvalues by nonconforming finite element methods for elliptic operators. (English) Zbl 1301.65117 J. Sci. Comput. 58, No. 3, 574-591 (2014). MSC: 65N25 35P15 65N30 65N15 74K20 74S05 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 58, No. 3, 574--591 (2014; Zbl 1301.65117) Full Text: DOI
Hu, Jun; Man, Hongying; Zhang, Shangyou A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension. (English) Zbl 1296.65159 J. Sci. Comput. 58, No. 2, 367-379 (2014). MSC: 65N30 74S05 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 58, No. 2, 367--379 (2014; Zbl 1296.65159) Full Text: DOI
Hu, Jun; Jiang, Longlong; Shi, Zhongci New a posteriori error estimate and quasi-optimal convergence of the adaptive nonconforming Wilson element. (English) Zbl 1293.65154 J. Comput. Appl. Math. 265, 173-186 (2014). MSC: 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Comput. Appl. Math. 265, 173--186 (2014; Zbl 1293.65154) Full Text: DOI
Hu, Jun; Zhang, Shangyou Nonconforming finite element methods on quadrilateral meshes. (English) Zbl 1310.65147 Sci. China, Math. 56, No. 12, 2599-2614 (2013). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N50 35J05 PDFBibTeX XMLCite \textit{J. Hu} and \textit{S. Zhang}, Sci. China, Math. 56, No. 12, 2599--2614 (2013; Zbl 1310.65147) Full Text: DOI arXiv
Hu, Jun; Xu, Jinchao Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem. (English) Zbl 1273.76274 J. Sci. Comput. 55, No. 1, 125-148 (2013). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{J. Hu} and \textit{J. Xu}, J. Sci. Comput. 55, No. 1, 125--148 (2013; Zbl 1273.76274) Full Text: DOI arXiv
Carstensen, Carsten; Gallistl, Dietmar; Hu, Jun A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles. (English) Zbl 1316.74060 Numer. Math. 124, No. 2, 309-335 (2013). MSC: 74S05 74K20 65N30 65N15 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Numer. Math. 124, No. 2, 309--335 (2013; Zbl 1316.74060) Full Text: DOI
Hu, Jun; Huang, Yunqing; Shen, Quan A high accuracy post-processing algorithm for the eigenvalues of elliptic operators. (English) Zbl 1255.65206 J. Sci. Comput. 52, No. 2, 426-445 (2012). MSC: 65N25 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 52, No. 2, 426--445 (2012; Zbl 1255.65206) Full Text: DOI
Hu, Jun; Shi, Zhongci; Xu, Jinchao Convergence and optimality of the adaptive Morley element method. (English) Zbl 1255.65212 Numer. Math. 121, No. 4, 731-752 (2012). Reviewer: Fernando Casas (Castellon) MSC: 65N30 65N15 35J30 65N12 PDFBibTeX XMLCite \textit{J. Hu} et al., Numer. Math. 121, No. 4, 731--752 (2012; Zbl 1255.65212) Full Text: DOI arXiv
Zhao, Xuying; Hu, Jun; Shi, Zhongci Convergence analysis of the adaptive finite element method with the red-green refinement. (English) Zbl 1189.65276 Sci. China, Math. 53, No. 2, 499-512 (2010). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N12 65N30 65N15 65N50 35J25 PDFBibTeX XMLCite \textit{X. Zhao} et al., Sci. China, Math. 53, No. 2, 499--512 (2010; Zbl 1189.65276) Full Text: DOI
Hu, Jun; Shi, Zhong-Ci Analysis for quadrilateral MITC elements for the Reissner-Mindlin plate problem. (English) Zbl 1223.74027 Math. Comput. 78, No. 266, 673-711 (2009). MSC: 74K20 65N30 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Z.-C. Shi}, Math. Comput. 78, No. 266, 673--711 (2009; Zbl 1223.74027) Full Text: DOI
Hu, Jun; Shi, Zhongci A new a posteriori error estimate for the Morley element. (English) Zbl 1169.74646 Numer. Math. 112, No. 1, 25-40 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 74S30 74K20 65N30 65N15 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Z. Shi}, Numer. Math. 112, No. 1, 25--40 (2009; Zbl 1169.74646) Full Text: DOI
Man, Hongying; Hu, Jun; Shi, Zhongci Lower-order rectangular nonconforming mixed finite element for the three-dimensional elasticity problem. (English) Zbl 1156.74045 Math. Models Methods Appl. Sci. 19, No. 1, 51-65 (2009). MSC: 74S05 74B05 65N30 65N15 PDFBibTeX XMLCite \textit{H. Man} et al., Math. Models Methods Appl. Sci. 19, No. 1, 51--65 (2009; Zbl 1156.74045) Full Text: DOI
Hu, Jun; Shi, Zhongci Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate. (English) Zbl 1218.74016 Sci. China, Ser. A 51, No. 11, 2097-2114 (2008). MSC: 74K20 74S05 65N30 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Z. Shi}, Sci. China, Ser. A 51, No. 11, 2097--2114 (2008; Zbl 1218.74016) Full Text: DOI
Hu, Jun; Shi, Zhong-Ci Error analysis of quadrilateral Wilson element for Reissner-Mindlin plate. (English) Zbl 1169.74609 Comput. Methods Appl. Mech. Eng. 197, No. 6-8, 464-475 (2008). MSC: 74S05 74K20 65N15 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Z.-C. Shi}, Comput. Methods Appl. Mech. Eng. 197, No. 6--8, 464--475 (2008; Zbl 1169.74609) Full Text: DOI
Carstensen, C.; Hu, Jun A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates. (English) Zbl 1130.74045 Math. Comput. 77, No. 262, 611-632 (2008). MSC: 74S05 74K20 65N15 65N30 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{J. Hu}, Math. Comput. 77, No. 262, 611--632 (2008; Zbl 1130.74045) Full Text: DOI
Carstensen, C.; Hu, Jun A unifying theory of a posteriori error control for nonconforming finite element methods. (English) Zbl 1127.65083 Numer. Math. 107, No. 3, 473-502 (2007). Reviewer: Dietrich Braess (Bochum) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{J. Hu}, Numer. Math. 107, No. 3, 473--502 (2007; Zbl 1127.65083) Full Text: DOI
Hu, Jun; Shi, Zhongci Two lower-order nonconforming rectangular elements for the Reissner-Mindlin plate. (English) Zbl 1118.74050 Math. Comput. 76, No. 260, 1771-1786 (2007). MSC: 74S05 74K20 65N30 65N12 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Z. Shi}, Math. Comput. 76, No. 260, 1771--1786 (2007; Zbl 1118.74050) Full Text: DOI