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
Hernández, Erwin; Lepe, Felipe; Vellojin, Jesus A mixed parameter formulation with applications to linear viscoelastic slender structures. (English) Zbl 1541.65099 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 157-189 (2024). MSC: 65M60 65M06 65N30 65M12 65N12 65M15 45D05 65R20 35A15 76A10 74K20 74B10 74D05 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
Ainsworth, Mark; Dong, Justin Galerkin neural network approximation of singularly-perturbed elliptic systems. (English) Zbl 1507.74440 Comput. Methods Appl. Mech. Eng. 402, Article ID 115169, 29 p. (2022). MSC: 74S05 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
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
Li, Bin; Maurini, Corrado Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy. (English) Zbl 1474.74089 J. Mech. Phys. Solids 125, 502-522 (2019). MSC: 74R10 74E10 × 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
Ortiz-Bernardin, A.; Köbrich, P.; Hale, J. S.; Olate-Sanzana, E.; Bordas, S. P. A.; Natarajan, S. A volume-averaged nodal projection method for the Reissner-Mindlin plate model. (English) Zbl 1440.74433 Comput. Methods Appl. Mech. Eng. 341, 827-850 (2018). MSC: 74S05 65N30 74K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chinosi, Claudia Virtual elements for the Reissner-Mindlin plate problem. (English) Zbl 1407.74059 Numer. Methods Partial Differ. Equations 34, No. 4, 1117-1144 (2018). MSC: 74K20 74S05 35Q74 × 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
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
Bösing, Paulo Rafael; Carstensen, Carsten Discontinuous Galerkin with weakly over-penalized techniques for Reissner-Mindlin plates. (English) Zbl 1329.74269 J. Sci. Comput. 64, No. 2, 401-424 (2015). MSC: 74S05 65N30 65N15 74K20 × 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
Bösing, Paulo Rafael; Carstensen, Carsten Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable. (English) Zbl 1401.65128 Numer. Math. 130, No. 3, 395-423 (2015). MSC: 65N30 65N15 74S05 × 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
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
Beirão da Veiga, Lourenço; Mora, David; Rodríguez, Rodolfo Numerical analysis of a locking-free mixed finite element method for a bending moment formulation of Reissner-Mindlin plate model. (English) Zbl 1294.74061 Numer. Methods Partial Differ. Equations 29, No. 1, 40-63 (2013). MSC: 74S05 74K20 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández, Erwin; Santamarina, Duarte Active control of sloshing in containers with elastic baffle plates. (English) Zbl 1253.76010 Int. J. Numer. Methods Eng. 91, No. 6, 604-621 (2012). MSC: 76B15 76M10 74F10 93C95 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Wenbin; Wang, Yanqiu A mixed finite element method for thin film epitaxy. (English) Zbl 1254.82028 Numer. Math. 122, No. 4, 771-793 (2012). MSC: 82C24 65M60 65M12 35Q82 74K35 65M06 82-08 49M27 × 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
Behrens, Edwin M.; Guzmán, J. A new family of mixed methods for the Reissner-Mindlin plate model based on a system of first-order equations. (English) Zbl 1432.74200 J. Sci. Comput. 49, No. 2, 137-166 (2011). MSC: 74S05 65N30 65N12 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Creusé, Emmanuel; Nicaise, Serge; Verhille, Emmanuel Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system. (English) Zbl 1235.74212 Calcolo 48, No. 4, 307-335 (2011). MSC: 74K20 65M60 65M15 65M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
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
Durán, Ricardo G.; Rodríguez, Rodolfo; Sanhueza, Frank Numerical analysis of a finite element method to compute the vibration modes of a Reissner-Mindlin laminated plate. (English) Zbl 1387.74106 Math. Comput. 80, No. 275, 1239-1264 (2011). MSC: 74S05 74K20 65N30 65N15 × 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
Bösing, Paulo R.; Madureira, Alexandre L.; Mozolevski, Igor A new interior penalty discontinuous Galerkin method for the Reissner-Mindlin model. (English) Zbl 1200.65091 Math. Models Methods Appl. Sci. 20, No. 8, 1343-1361 (2010). MSC: 65N30 65N15 74K30 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández, Erwin; Hervella-Nieto, Luis Finite element approximation of free vibration of folded plates. (English) Zbl 1227.74071 Comput. Methods Appl. Mech. Eng. 198, No. 15-16, 1360-1367 (2009). MSC: 74S05 74H45 74K20 74H15 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Minfu; Yang, Yan; Zhou, Tianxiao Nonconforming stabilized combined finite element method for Reissner-Mindlin plate. (English) Zbl 1160.74045 Appl. Math. Mech., Engl. Ed. 30, No. 2, 197-207 (2009). MSC: 74S05 74K20 × 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
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
Ming, Pingbing; Shi, Zhongci Two nonconforming quadrilateral elements for the Reissner-Mindlin plate. (English) Zbl 1096.74050 Math. Models Methods Appl. Sci. 15, No. 10, 1503-1517 (2005). MSC: 74S05 74K20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Apel, T.; Nicaise, S. The inf-sup condition for low order elements on anisotropic meshes. (English) Zbl 1108.65117 Calcolo 41, No. 2, 89-113 (2004). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 35Q30 × 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
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
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
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
Bermúdez, Alfredo; Hervella-Nieto, Luis; Rodríguez, Rodolfo Finite element computation of the vibrations of a plate-fluid system with interface damping. (English) Zbl 1015.74057 Comput. Methods Appl. Mech. Eng. 190, No. 24-25, 3021-3038 (2001). MSC: 74S05 74F10 74K20 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
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
Mackerle, Jaroslav Finite element linear and nonlinear, static and dynamic analysis of structural elements: A bibliography (1992-1995). (English) Zbl 0983.74500 Eng. Comput. (Bradf.) 14, No. 4, 347-440 (1997). MSC: 74-00 74S05 74K99 × 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
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
Zhang, Zhimin; Zhang, Shangyou Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate. (English) Zbl 0891.73071 Comput. Methods Appl. Mech. Eng. 134, No. 1-2, 1-16 (1996). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhimin; Zhang, Shangyou Wilson’s element for the Reissner-Mindlin plate. (English) Zbl 0847.73070 Comput. Methods Appl. Mech. Eng. 113, No. 1-2, 55-65 (1994). MSC: 74S05 74K20 × 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
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