Chen, Gang; Zhang, Lu; Zhang, Shangyou Locking-free HDG methods for Reissner-Mindlin plates equations on polygonal meshes. (English) Zbl 07983269 J. Sci. Comput. 102, No. 3, Paper No. 67, 35 p. (2025). MSC: 65Nxx 74Sxx 74Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Yunqing; Zhang, Shangyou Locking-free Argyris-Lagrange finite elements for the Reissner-Mindlin plate. (English) Zbl 1546.65070 Calcolo 61, No. 3, Paper No. 49, 15 p. (2024). MSC: 65M60 65M15 65M12 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Shangyou Robust Falk-Neilan finite elements for the Reissner-Mindlin plate. (English) Zbl 1538.65572 Commun. Appl. Math. Comput. 5, No. 4, 1697-1712 (2023). MSC: 65N30 65N15 74K20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jing; Zhou, Zhaojie; Chen, Huanzhen; Wang, Hong A new finite element space for expanded mixed finite element method. (English) Zbl 1538.65502 J. Comput. Math. 41, No. 5, 817-840 (2023). MSC: 65N30 65N12 65N15 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Führer, Thomas; Heuer, Norbert; Niemi, Antti H. A discontinuous Petrov-Galerkin method for Reissner-Mindlin plates. (English) Zbl 1519.74067 SIAM J. Numer. Anal. 61, No. 2, 995-1017 (2023). Reviewer: V. Leontiev (Sankt-Peterburg) MSC: 74S05 74K20 74G65 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. (English) Zbl 1524.74415 Comput. Math. Appl. 125, 136-149 (2022). MSC: 74S05 65N30 74K20 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C. Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem. (English) Zbl 1506.74190 Comput. Methods Appl. Mech. Eng. 382, Article ID 113873, 33 p. (2021). MSC: 74K25 65D17 65N30 74S22 × Cite Format Result Cite Review PDF Full Text: DOI
Gallistl, Dietmar; Schedensack, Mira Taylor-Hood discretization of the Reissner-Mindlin plate. (English) Zbl 1473.65299 SIAM J. Numer. Anal. 59, No. 3, 1195-1217 (2021). MSC: 65N30 65N12 65N15 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Neunteufel, Michael; Schöberl, Joachim Avoiding membrane locking with Regge interpolation. (English) Zbl 1506.74192 Comput. Methods Appl. Mech. Eng. 373, Article ID 113524, 16 p. (2021). MSC: 74K25 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Shuo Stable mixed element schemes for plate models on multiply-connected domains. (English) Zbl 1488.65676 Adv. Appl. Math. Mech. 12, No. 4, 1008-1034 (2020). MSC: 65N30 74K20 65N50 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Ku, JaEun; Reichel, Lothar A novel iterative method for discrete Helmholtz decomposition. (English) Zbl 1440.65266 Appl. Numer. Math. 151, 161-171 (2020). MSC: 65N55 65N30 65F10 65F35 35J25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Da Veiga, L. Beirão; Mora, D.; Rivera, G. Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. (English) Zbl 1404.65258 Math. Comput. 88, No. 315, 149-178 (2019). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 74K20 74S05 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Long; Huang, Xuehai Decoupling of mixed methods based on generalized Helmholtz decompositions. (English) Zbl 1402.58016 SIAM J. Numer. Anal. 56, No. 5, 2796-2825 (2018). Reviewer: Noureddine Daili (Sétif) MSC: 58J10 65N12 65N22 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ku, Jaeun; Reichel, Lothar Simple efficient solvers for certain ill-conditioned systems of linear equations, including \(H(\operatorname{div})\) problems. (English) Zbl 1457.65163 J. Comput. Appl. Math. 343, 240-249 (2018). MSC: 65N20 65N30 65N22 35A15 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhang, Shuo Regular decomposition and a framework of order reduced methods for fourth order problems. (English) Zbl 1383.35074 Numer. Math. 138, No. 1, 241-271 (2018). MSC: 35J35 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bringmann, P.; Carstensen, C. \(h\)-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates. (English) Zbl 1402.65150 Comput. Math. Appl. 74, No. 8, 1923-1939 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N30 65N12 76D07 76M15 × Cite Format Result Cite Review PDF Full Text: DOI
Pechstein, Astrid S.; Schöberl, Joachim The TDNNS method for Reissner-Mindlin plates. (English) Zbl 1457.65211 Numer. Math. 137, No. 3, 713-740 (2017). MSC: 65N30 65N12 74K20 74B10 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gallistl, Dietmar Stable splitting of polyharmonic operators by generalized Stokes systems. (English) Zbl 1369.31012 Math. Comput. 86, No. 308, 2555-2577 (2017). MSC: 31B30 31B35 35J30 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yu, Guozhu; Xie, Xiaoping Analysis of a 3-node mixed-shear-projected triangular element method for Reissner-Mindlin plates. (English) Zbl 1457.74127 Numer. Methods Partial Differ. Equations 33, No. 1, 241-258 (2017). MSC: 74K20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Talamini, Brandon L.; Radovitzky, Raúl A discontinuous Galerkin method for nonlinear shear-flexible shells. (English) Zbl 1425.74304 Comput. Methods Appl. Mech. Eng. 303, 128-162 (2016). MSC: 74K25 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Cen, Song; Shang, Yan Developments of Mindlin-Reissner plate elements. (English) Zbl 1394.74099 Math. Probl. Eng. 2015, Article ID 456740, 12 p. (2015). MSC: 74K20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Barrenechea, Gabriel R.; Barrios, Tomás P.; Wachtel, Andreas Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model. (English) Zbl 1326.74117 Calcolo 52, No. 3, 343-369 (2015). MSC: 74S05 74K20 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H. A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. (English) Zbl 1321.74065 Math. Models Methods Appl. Sci. 25, No. 8, 1519-1551 (2015). MSC: 74S05 65N12 74K20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Calo, Victor M.; Collier, Nathaniel O.; Niemi, Antti H. Analysis of the discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model. (English) Zbl 1368.65231 Comput. Math. Appl. 66, No. 12, 2570-2586 (2014). MSC: 65N30 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ayuso De Dios, Blanca; Brezzi, Franco; Marini, L. Donatella; Xu, Jinchao; Zikatanov, Ludmil A simple preconditioner for a discontinuous Galerkin method for the Stokes problem. (English) Zbl 1299.76128 J. Sci. Comput. 58, No. 3, 517-547 (2014). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, C. T.; Guo, Y.; Wang, D. A pure bending exact nodal-averaged shear strain method for finite element plate analysis. (English) Zbl 1298.74241 Comput. Mech. 53, No. 5, 877-892 (2014). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Hlaváček, Ivan; Chleboun, Jan Reissner-Mindlin plate model with uncertain input data. (English) Zbl 1367.74032 Nonlinear Anal., Real World Appl. 17, 71-88 (2014). MSC: 74K20 49J40 74P05 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Huoyuan A finite element method for Reissner-Mindlin plates. (English) Zbl 1302.74094 Math. Comput. 83, No. 286, 701-733 (2014). MSC: 74K20 74S05 65N30 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Perotti, L. E.; Bompadre, A.; Ortiz, M. Automatically inf-sup compliant diamond-mixed finite elements for Kirchhoff plates. (English) Zbl 1352.74166 Int. J. Numer. Methods Eng. 96, No. 7, 405-424 (2013). MSC: 74K20 74S05 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, C. T.; Wang, H. P. An enhanced cell-based smoothed finite element method for the analysis of Reissner-Mindlin plate bending problems involving distorted mesh. (English) Zbl 1352.74452 Int. J. Numer. Methods Eng. 95, No. 4, 288-312 (2013). MSC: 74S05 74K20 65N30 74G60 × Cite Format Result Cite Review PDF Full Text: DOI
Beirão da Veiga, Lourenço; Lovadina, Carlo; Mora, David Numerical results for mimetic discretization of Reissner-Mindlin plate problems. (English) Zbl 1273.65172 Calcolo 50, No. 3, 209-237 (2013). MSC: 65N30 74K20 65N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuanhui; Yu, Guozhu; Xie, Xiaoping Uniform analysis of a stabilized hybrid finite element method for Reissner-Mindlin plates. (English) Zbl 1314.74060 Sci. China, Math. 56, No. 8, 1727-1742 (2013). MSC: 74S05 74K20 65N12 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, JianGuo; Xu, YiFeng Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation. (English) Zbl 1266.65182 Sci. China, Math. 55, No. 5, 1083-1098 (2012). Reviewer: Jiguang Sun (Dover) MSC: 65N12 65N15 65N30 65Y20 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Beirão da Veiga, Lourenço; Buffa, Annalisa; Lovadina, Carlo; Martinelli, Massimiliano; Sangalli, Giancarlo An isogeometric method for the Reissner-Mindlin plate bending problem. (English) Zbl 1243.74101 Comput. Methods Appl. Mech. Eng. 209-212, 45-53 (2012). MSC: 74K20 65N30 74G60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D. New rectangular plate elements based on twist-Kirchhoff theory. (English) Zbl 1230.74170 Comput. Methods Appl. Mech. Eng. 200, No. 33-36, 2547-2561 (2011). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Xie, Xiaoping; Yu, Guozhu; Zhou, Tianxiao A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates. (English) Zbl 1225.74081 Comput. Methods Appl. Mech. Eng. 200, No. 9-12, 1161-1175 (2011). MSC: 74S05 74K20 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Hansbo, Peter; Heintz, David; Larson, Mats G. A finite element method with discontinuous rotations for the Mindlin-Reissner plate model. (English) Zbl 1225.74090 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 638-648 (2011). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bathe, Klaus-Jürgen; Brezzi, Franco; Marini, L. Donatella The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case. (English) Zbl 1307.74063 Comput. Mech. 47, No. 6, 617-626 (2011). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Beirão da Veiga, L.; Mora, D. A mimetic discretization of the Reissner-Mindlin plate bending problem. (English) Zbl 1428.74132 Numer. Math. 117, No. 3, 425-462 (2011). MSC: 74K20 74S20 × Cite Format Result Cite Review PDF Full Text: DOI
Acosta, Gabriel; Apel, Thomas; Durán, Ricardo G.; Lombardi, Ariel L. Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra. (English) Zbl 1223.65086 Math. Comput. 80, No. 273, 141-163 (2011). Reviewer: Laura Iulia Aniţa (Iaşi) MSC: 65N15 65N30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Stenberg, R. A priori and a posteriori error analysis for a family of Reissner-Mindlin plate elements. (English) Zbl 1143.74050 BIT 48, No. 2, 189-213 (2008). MSC: 74S05 74K20 65N15 65N30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. Donatella Locking-free Reissner-Mindlin elements without reduced integration. (English) Zbl 1173.74396 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3660-3671 (2007). MSC: 74S05 74K20 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Lyly, Mikko; Niiranen, Jarkko; Stenberg, Rolf Superconvergence and postprocessing of MITC plate elements. (English) Zbl 1173.74434 Comput. Methods Appl. Mech. Eng. 196, No. 33-34, 3110-3126 (2007). MSC: 74S05 74K20 65N12 65N30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Carstensen, Carsten; Schöberl, Joachim Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method. (English) Zbl 1095.74031 Numer. Math. 103, No. 2, 225-250 (2006). MSC: 74S05 74K20 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Shen R. A priori error estimation of a four-node Reissner–Mindlin plate element for elasto-dynamics. (English) Zbl 1091.74050 Comput. Methods Appl. Mech. Eng. 194, No. 18-20, 2257-2281 (2005). MSC: 74S05 74K20 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. (English) Zbl 1065.74068 J. Sci. Comput. 22-23, 25-45 (2005). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Bécache, Eliane; Derveaux, Grégoire; Joly, Patrick An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation. (English) Zbl 1079.74060 Numer. Methods Partial Differ. Equations 21, No. 2, 323-348 (2005). MSC: 74S25 74S05 65M70 74K20 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández, Erwin Approximation of the vibration modes of a plate coupled with a fluid by low-order isoparametric finite elements. (English) Zbl 1130.74453 M2AN, Math. Model. Numer. Anal. 38, No. 6, 1055-1070 (2004). MSC: 74S05 74K20 65N30 74F10 74H45 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Roquet, Nicolas; Saramito, Pierre Stick-slip transition capturing by using an adaptive finite element method. (English) Zbl 1130.76368 M2AN, Math. Model. Numer. Anal. 38, No. 2, 249-260 (2004). MSC: 76M10 49M30 65M50 65M60 76D99 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Duan, Huoyuan; Liang, Guoping A locking-free Reissner-Mindlin quadrilateral element. (English) Zbl 1053.74042 Math. Comput. 73, No. 248, 1655-1671 (2004). MSC: 74S05 74K20 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Brenner, Susanne C. Convergence of nonconforming \(V\)-cycle and \(F\)-cycle multigrid algorithms for second order elliptic boundary value problems. (English) Zbl 1052.65102 Math. Comput. 73, No. 247, 1041-1066 (2004). Reviewer: Steve F. McCormick (Boulder) MSC: 65N12 65N55 65N30 65F10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Huo-Yuan; Liang, Guo-Ping Mixed and nonconforming finite element approximations of Reissner-Mindlin plates. (English) Zbl 1054.74051 Comput. Methods Appl. Mech. Eng. 192, No. 49-50, 5265-5281 (2003). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Bermúdez, Alfredo; Rodríguez, Rodolfo; Santamarina, Duarte Finite element computation of sloshing modes in containers with elastic baffle plates. (English) Zbl 1022.74041 Int. J. Numer. Methods Eng. 56, No. 3, 447-467 (2003). MSC: 74S05 74F10 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Huo-Yuan; Liang, Guo-Ping An improved Reissner-Mindlin triangular element. (English) Zbl 1131.74336 Comput. Methods Appl. Mech. Eng. 191, No. 21-22, 2223-2234 (2002). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Ming, Pingbing; Shi, Zhongci Nonconforming rotated \(\mathcal Q_ 1\) element for Reissner-Mindlin plate. (English) Zbl 1037.74048 Math. Models Methods Appl. Sci. 11, No. 8, 1311-1342 (2001). MSC: 74S05 74K20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Huoyuan; Liang, Guoping Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates. (English) Zbl 1041.74067 Comput. Methods Appl. Mech. Eng. 191, No. 3-5, 157-179 (2001). Reviewer: Fumio Kikuchi (Tokyo) MSC: 74S05 74K20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Mackerle, Jaroslav Error estimates and adaptive finite element methods. A bibliography (1990–2000). (English) Zbl 0985.65140 Eng. Comput. (Bradf.) 18, No. 5-6, 802-914 (2001). MSC: 65N30 74S05 65N15 65-00 74-00 65M60 65M15 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Saramito, Pierre; Roquet, Nicolas An adaptive finite element method for viscoplastic fluid flows in pipes. (English) Zbl 1002.76071 Comput. Methods Appl. Mech. Eng. 190, No. 40-41, 5391-5412 (2001). MSC: 76M10 76A05 74C10 × Cite Format Result Cite Review PDF Full Text: DOI
Benlemlih, A.; El Alami El Ferricha, M. A mixed finite element method for the arch assembly problem. (English) Zbl 1014.74065 Comput. Methods Appl. Mech. Eng. 190, No. 42, 5569-5582 (2001). MSC: 74S05 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Auricchio, F.; Lovadina, C.; Sacco, E. Analysis of mixed finite elements for laminated composite plates. (English) Zbl 0998.74068 Comput. Methods Appl. Mech. Eng. 190, No. 35-36, 4767-4783 (2001). MSC: 74S05 74E30 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Liberman, Elsa A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate. (English) Zbl 1017.74066 Math. Comput. 70, No. 236, 1383-1396 (2001). MSC: 74S05 74K20 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Auricchio, F.; Lovadina, C. Analysis of kinematic linked interpolation methods for Reissner-Mindlin plate problems. (English) Zbl 0994.74065 Comput. Methods Appl. Mech. Eng. 190, No. 18-19, 2465-2482 (2001). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Suri, Manil The \(p\) and \(hp\) finite element method for problems on thin domains. (English) Zbl 0974.65102 J. Comput. Appl. Math. 128, No. 1-2, 235-260 (2001). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65N30 65N15 74K10 74K20 35J25 74S05 74K25 × Cite Format Result Cite Review PDF Full Text: DOI
Codina, Ramon On stabilized finite element methods for linear systems of convection-diffusion-reaction equations. (English) Zbl 0973.76041 Comput. Methods Appl. Mech. Eng. 188, No. 1-3, 61-82 (2000). MSC: 76M10 76R50 76V05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Falk, Richard S.; Tu, Tong Locking-free finite elements for the Reissner-Mindlin plate. (English) Zbl 0965.74063 Math. Comput. 69, No. 231, 911-928 (2000). MSC: 74S05 74K20 65N15 65N30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Auricchio, Ferdinando; Lovadina, Carlo Partial selective reduced integration schemes and kinematically linked interpolations for plate bending problems. (English) Zbl 0949.74064 Math. Models Methods Appl. Sci. 9, No. 5, 693-722 (1999). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Durán, R. G.; Hervella-Nieto, L.; Liberman, E.; Rodríguez, R.; Solomin, J. Approximation of the vibration modes of a plate by Reissner-Mindlin equations. (English) Zbl 0945.74030 Math. Comput. 68, No. 228, 1447-1463 (1999). Reviewer: M.Mişicu (Bucureşti) MSC: 74H45 74K20 74H15 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Lovadina, C. Analysis of a mixed finite element method for the Reissner-Mindlin plate problems. (English) Zbl 0962.74065 Comput. Methods Appl. Mech. Eng. 163, No. 1-4, 71-85 (1998). MSC: 74S05 74K20 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhimin Superconvergence in the projected-shear plate-bending finite element method. (English) Zbl 0927.74075 Numer. Methods Partial Differ. Equations 14, No. 3, 367-386 (1998). MSC: 74S05 74K20 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Bramble, James H.; Sun, Tong A locking-free finite element method for Naghdi shells. (English) Zbl 0913.73065 J. Comput. Appl. Math. 89, No. 1, 119-133 (1998). MSC: 74S05 74K15 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Bramble, James H.; Sun, Tong A negative-norm least squares method for Reissner-Mindlin plates. (English) Zbl 0899.73544 Math. Comput. 67, No. 223, 901-916 (1998). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Perugia, Ilaria; Scapolla, Terenzio Optimal rectangular MITC finite elements for Reissner-Mindlin plates. (English) Zbl 0881.73129 Numer. Methods Partial Differ. Equations 13, No. 5, 575-585 (1997). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar Preconditioning discrete approximations of the Reissner-Mindlin plate model. (English) Zbl 0877.73060 RAIRO, Modélisation Math. Anal. Numér. 31, No. 4, 517-557 (1997). MSC: 74S05 74K20 65F10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Cheng, Xiao-liang; Han, Weimin; Huang, Hong-ci Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems. (English) Zbl 0878.73068 J. Comput. Appl. Math. 79, No. 2, 215-234 (1997). MSC: 74S05 74K10 74K20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Ciarlet, Philippe G.; Lods, Véronique Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations. (English) Zbl 0887.73038 Arch. Ration. Mech. Anal. 136, No. 2, 119-161 (1996). Reviewer: E.Gavrilova (Sofia) MSC: 74K15 35Q72 × Cite Format Result Cite Review PDF Full Text: DOI
Braess, Dietrich Stability of saddle point problems with penalty. (English) Zbl 0860.65054 RAIRO, Modélisation Math. Anal. Numér. 30, No. 6, 731-742 (1996). Reviewer: P.Chocholatý (Bratislava) MSC: 65K10 49J27 49M30 74K20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hlaváček, Ivan Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements. (English) Zbl 0857.49003 Appl. Math., Praha 41, No. 2, 107-121 (1996). Reviewer: G.Olenev (Tartu) MSC: 49J20 65N30 74P99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hlaváček, Ivan Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements. (English) Zbl 0848.73067 Appl. Math., Praha 41, No. 1, 57-78 (1996). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Brenner, Susanne C. Multigrid methods for parameter dependent problems. (English) Zbl 0848.73062 RAIRO, Modélisation Math. Anal. Numér. 30, No. 3, 265-297 (1996). MSC: 74S05 74B05 74Kxx × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Pitkäranta, J.; Leino, Y.; Ovaskainen, O.; Piila, J. Shell deformation states and the finite element method: A benchmark study of cylindrical shells. (English) Zbl 0861.73046 Comput. Methods Appl. Mech. Eng. 128, No. 1-2, 81-121 (1995). MSC: 74K15 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Suri, Manil; Babuška, Ivo; Schwab, Christoph Locking effects in the finite element approximation of plate models. (English) Zbl 0827.73063 Math. Comput. 64, No. 210, 461-482 (1995). MSC: 74S05 74K20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Scapolla, Terenzio; Della Croce, Lucia Combining hierarchic high order and mixed-interpolated finite elements for Reissner-Mindlin plate problems. (English) Zbl 0826.73061 Comput. Methods Appl. Mech. Eng. 116, 185-192 (1994). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Křížek, Michal Superconvergence phenomena in the finite element method. (English) Zbl 0820.65071 Comput. Methods Appl. Mech. Eng. 116, 157-163 (1994). MSC: 65N30 65N12 65-02 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Lovadina, C. On the convergence of a mixed finite element method for Reissner-Mindlin plates. (English) Zbl 0817.73064 RAIRO, Modélisation Math. Anal. Numér. 28, No. 5, 557-573 (1994). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Lyly, Mikko; Stenberg, Rolf; Vihinen, Teemu A stable bilinear element for the Reissner-Mindlin plate model. (English) Zbl 0846.73065 Comput. Methods Appl. Mech. Eng. 110, No. 3-4, 343-357 (1993). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Gastaldi, Lucia Uniform interior error estimates for the Reissner-Mindlin plate model. (English) Zbl 0784.73046 Math. Comput. 61, No. 204, 539-567 (1993). MSC: 74K20 74S05 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Pitkäranta, Juhani The problem of membrane locking in finite element analysis of cylindrical shells. (English) Zbl 0768.73079 Numer. Math. 61, No. 4, 523-542 (1992). Reviewer: V.Arnautu (Iaşi) MSC: 74S05 74K15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Durán, Ricardo The inf-sup condition and error estimates for the Arnold-Falk plate bending element. (English) Zbl 0781.73065 Numer. Math. 59, No. 8, 769-778 (1991). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Peisker, Petra A multigrid method for Reissner-Mindlin plates. (English) Zbl 0736.73071 Numer. Math. 59, No. 5, 511-528 (1991). MSC: 74S30 65N55 74K20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML