Chowdhury, Sudipto; Dond, Asha K.; Nataraj, Neela; Shylaja, Devika A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1501.65108 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1655-1686 (2022). MSC: 65N30 65N15 49M05 49M25 49M41 74K20 31A30 35Q74 PDF BibTeX XML Cite \textit{S. Chowdhury} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1655--1686 (2022; Zbl 1501.65108) Full Text: DOI arXiv OpenURL
Ma, Limin; Tian, Shudan New fourth order postprocessing techniques for plate bending eigenvalues by Morley element. (English) Zbl 1492.65293 SIAM J. Sci. Comput. 44, No. 4, B910-B937 (2022). MSC: 65N25 65N30 65N15 PDF BibTeX XML Cite \textit{L. Ma} and \textit{S. Tian}, SIAM J. Sci. Comput. 44, No. 4, B910--B937 (2022; Zbl 1492.65293) Full Text: DOI arXiv OpenURL
Chowdhury, Sudipto; Nataraj, Neela; Shylaja, Devika Morley FEM for a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1477.49041 Comput. Methods Appl. Math. 21, No. 1, 233-262 (2021). MSC: 49M05 49M25 65N15 65N30 PDF BibTeX XML Cite \textit{S. Chowdhury} et al., Comput. Methods Appl. Math. 21, No. 1, 233--262 (2021; Zbl 1477.49041) Full Text: DOI OpenURL
Chen, Zhiming; Tuo, Rui; Zhang, Wenlong Stochastic convergence of a nonconforming finite element method for the thin plate spline smoother for observational data. (English) Zbl 1397.65254 SIAM J. Numer. Anal. 56, No. 2, 635-659 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{Z. Chen} et al., SIAM J. Numer. Anal. 56, No. 2, 635--659 (2018; Zbl 1397.65254) Full Text: DOI arXiv OpenURL
Mallik, Gouranga; Nataraj, Neela A nonconforming finite element approximation for the von Karman equations. (English) Zbl 1375.74089 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 433-454 (2016). MSC: 74S05 74K20 65N30 35Q74 35J61 65N12 PDF BibTeX XML Cite \textit{G. Mallik} and \textit{N. Nataraj}, ESAIM, Math. Model. Numer. Anal. 50, No. 2, 433--454 (2016; Zbl 1375.74089) Full Text: DOI arXiv OpenURL
Mallik, Gouranga; Nataraj, Neela Conforming and nonconforming finite element methods for canonical von Kármán equations. (English) Zbl 1342.74166 Int. J. Adv. Eng. Sci. Appl. Math. 7, No. 3, 86-95 (2015). MSC: 74S05 65N30 74K20 35Q74 PDF BibTeX XML Cite \textit{G. Mallik} and \textit{N. Nataraj}, Int. J. Adv. Eng. Sci. Appl. Math. 7, No. 3, 86--95 (2015; Zbl 1342.74166) Full Text: DOI OpenURL
Gallistl, Dietmar Morley finite element method for the eigenvalues of the biharmonic operator. (English) Zbl 1332.65160 IMA J. Numer. Anal. 35, No. 4, 1779-1811 (2015). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65N25 65N30 35P15 74K20 74S05 PDF BibTeX XML Cite \textit{D. Gallistl}, IMA J. Numer. Anal. 35, No. 4, 1779--1811 (2015; Zbl 1332.65160) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Comput. Math. Appl. 68, No. 12, Part B, 2167--2181 (2014; Zbl 1362.65123) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Hu} et al., J. Sci. Comput. 58, No. 3, 574--591 (2014; Zbl 1301.65117) Full Text: DOI OpenURL
Li, Mingxia; Guan, Xiaofei; Mao, Shipeng New error estimates of the Morley element for the plate bending problems. (English) Zbl 1301.74046 J. Comput. Appl. Math. 263, 405-416 (2014). MSC: 74S05 74G60 74K20 65N15 65N30 PDF BibTeX XML Cite \textit{M. Li} et al., J. Comput. Appl. Math. 263, 405--416 (2014; Zbl 1301.74046) Full Text: DOI OpenURL
Carstensen, Carsten; Gallistl, Dietmar Guaranteed lower eigenvalue bounds for the biharmonic equation. (English) Zbl 1298.65165 Numer. Math. 126, No. 1, 33-51 (2014). Reviewer: Charis Harley (Johannesburg) MSC: 65N25 31A30 35J30 35P15 65N30 65N15 74K20 74S05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{D. Gallistl}, Numer. Math. 126, No. 1, 33--51 (2014; Zbl 1298.65165) Full Text: DOI OpenURL
Brenner, Susanne C.; Sung, Li-yeng; Zhang, Hongchao; Zhang, Yi A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates. (English) Zbl 1290.65108 J. Comput. Appl. Math. 254, 31-42 (2013). MSC: 65N30 65K15 65N15 74S05 74K20 PDF BibTeX XML Cite \textit{S. C. Brenner} et al., J. Comput. Appl. Math. 254, 31--42 (2013; Zbl 1290.65108) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Numer. Math. 124, No. 2, 309--335 (2013; Zbl 1316.74060) Full Text: DOI OpenURL
Hu, Jun; Shi, Zhongci The best \(L^2\) norm error estimate of lower order finite element methods for the fourth order problem. (English) Zbl 1274.65292 J. Comput. Math. 30, No. 5, 449-460 (2012). MSC: 65N15 65N30 35J40 74K20 74S05 PDF BibTeX XML Cite \textit{J. Hu} and \textit{Z. Shi}, J. Comput. Math. 30, No. 5, 449--460 (2012; Zbl 1274.65292) Full Text: DOI OpenURL
Yang, Yidu; Lin, Qun; Bi, Hai; Li, Qin Eigenvalue approximations from below using Morley elements. (English) Zbl 1253.65181 Adv. Comput. Math. 36, No. 3, 443-450 (2012). MSC: 65N25 65N30 PDF BibTeX XML Cite \textit{Y. Yang} et al., Adv. Comput. Math. 36, No. 3, 443--450 (2012; Zbl 1253.65181) Full Text: DOI OpenURL
Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi Finite element methods for the displacement obstacle problem of clamped plates. (English) Zbl 1250.74023 Math. Comput. 81, No. 279, 1247-1262 (2012). Reviewer: Jan Lovíšek (Bratislava) MSC: 74S05 74M15 74K20 65N30 65N12 49J40 PDF BibTeX XML Cite \textit{S. C. Brenner} et al., Math. Comput. 81, No. 279, 1247--1262 (2012; Zbl 1250.74023) Full Text: DOI OpenURL
Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. A posteriori error analysis for the Morley plate element with general boundary conditions. (English) Zbl 1193.74162 Int. J. Numer. Methods Eng. 83, No. 1, 1-26 (2010). MSC: 74S05 74K20 65N15 65N30 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., Int. J. Numer. Methods Eng. 83, No. 1, 1--26 (2010; Zbl 1193.74162) Full Text: DOI Link OpenURL
Mao, Shipeng; Nicaise, Serge; Shi, Zhong-Ci Error estimates of Morley triangular element satisfying the maximal angle condition. (English) Zbl 1407.74089 Int. J. Numer. Anal. Model. 7, No. 4, 639-655 (2010). MSC: 74S05 74K20 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{S. Mao} et al., Int. J. Numer. Anal. Model. 7, No. 4, 639--655 (2010; Zbl 1407.74089) Full Text: Link OpenURL
Shi, Dongyang; Xie, Pingli Morley type non-\(C^0\) nonconforming rectangular plate finite elements on anisotropic meshes. (English) Zbl 1218.74023 Numer. Methods Partial Differ. Equations 26, No. 3, 723-744 (2010). MSC: 74S05 74K20 65N30 PDF BibTeX XML Cite \textit{D. Shi} and \textit{P. Xie}, Numer. Methods Partial Differ. Equations 26, No. 3, 723--744 (2010; Zbl 1218.74023) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Hu} and \textit{Z. Shi}, Numer. Math. 112, No. 1, 25--40 (2009; Zbl 1169.74646) Full Text: DOI OpenURL
Marcinkowski, Leszek An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D. (English) Zbl 1113.65112 ETNA, Electron. Trans. Numer. Anal. 26, 34-54 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65N30 65N55 74S05 35J40 65F10 65F35 35R05 74K20 PDF BibTeX XML Cite \textit{L. Marcinkowski}, ETNA, Electron. Trans. Numer. Anal. 26, 34--54 (2007; Zbl 1113.65112) Full Text: EuDML Link OpenURL
Hansbo, P.; Larson, M. G. A discontinuous Galerkin method for the plate equation. (English) Zbl 1012.74066 Calcolo 39, No. 1, 41-59 (2002). Reviewer: Fad Seydou (Oulu) MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{P. Hansbo} and \textit{M. G. Larson}, Calcolo 39, No. 1, 41--59 (2002; Zbl 1012.74066) Full Text: DOI OpenURL
Marcinkowski, Leszek A mortar element method for some discretizations of a plate problem. (English) Zbl 1036.74046 Numer. Math. 93, No. 2, 361-386 (2002). MSC: 74S05 74K20 65N30 65N15 PDF BibTeX XML Cite \textit{L. Marcinkowski}, Numer. Math. 93, No. 2, 361--386 (2002; Zbl 1036.74046) Full Text: DOI OpenURL
Xu, Xuejun On \(V\)-cycle multigrid implementation for plate elements. (English) Zbl 1023.74049 Appl. Math. Comput. 125, No. 2-3, 141-153 (2002). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{X. Xu}, Appl. Math. Comput. 125, No. 2--3, 141--153 (2002; Zbl 1023.74049) Full Text: DOI OpenURL
Huang, J. On the construction of a vertex space preconditioner for Morley element. (English) Zbl 0995.65054 East-West J. Numer. Math. 9, No. 4, 295-305 (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65F35 65N30 PDF BibTeX XML Cite \textit{J. Huang}, East-West J. Numer. Math. 9, No. 4, 295--305 (2001; Zbl 0995.65054) OpenURL
Huang, Jianguo; Li, Likang; Chen, Jinru On mortar-type Morley element method for plate bending problem. (English) Zbl 1013.74066 Appl. Numer. Math. 37, No. 4, 519-533 (2001). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{J. Huang} et al., Appl. Numer. Math. 37, No. 4, 519--533 (2001; Zbl 1013.74066) Full Text: DOI OpenURL
Crisfield, M. A.; Tan, D. Rotation shape functions for a low-order quadrilateral plate element with mid-side rotations. (English) Zbl 0996.74073 Commun. Numer. Methods Eng. 17, No. 3, 191-199 (2001). MSC: 74S05 74K10 PDF BibTeX XML Cite \textit{M. A. Crisfield} and \textit{D. Tan}, Commun. Numer. Methods Eng. 17, No. 3, 191--199 (2001; Zbl 0996.74073) Full Text: DOI OpenURL
Huang, Jianguo On the domain decomposition method for the Morley element – from weak overlap to nonoverlap. (English) Zbl 0945.65135 J. Comput. Math. 17, No. 6, 615-628 (1999). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N55 65F10 65F35 74K20 65N30 35J05 74S05 PDF BibTeX XML Cite \textit{J. Huang}, J. Comput. Math. 17, No. 6, 615--628 (1999; Zbl 0945.65135) OpenURL
Shi, Zhongci; Xie, Zhenghui Multigrid methods for Morley element on nonnested meshes. (English) Zbl 0916.65112 J. Comput. Math. 16, No. 5, 385-394 (1998). Reviewer: Michael Sever (Jerusalem) MSC: 65N55 74S05 35J40 31A30 74K20 65N30 65N50 65F10 65F35 PDF BibTeX XML Cite \textit{Z. Shi} and \textit{Z. Xie}, J. Comput. Math. 16, No. 5, 385--394 (1998; Zbl 0916.65112) OpenURL
Brenner, Susanne C. A two-level additive Schwarz preconditioner for nonconforming plate elements. (English) Zbl 0855.73071 Numer. Math. 72, No. 4, 419-447 (1996). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{S. C. Brenner}, Numer. Math. 72, No. 4, 419--447 (1996; Zbl 0855.73071) Full Text: DOI OpenURL
Shi, Zhongci On the error estimates of Morley element. (Chinese. English summary) Zbl 0850.73337 Math. Numer. Sin. 12, No. 2, 113-118 (1990). MSC: 74S05 74K20 65N15 PDF BibTeX XML Cite \textit{Z. Shi}, Math. Numer. Sin. 12, No. 2, 113--118 (1990; Zbl 0850.73337) OpenURL
Butalia, T. S.; Kant, T.; Dixit, V. D. Performance of heterosis element for bending of skew rhombic plates. (English) Zbl 0713.73085 Comput. Struct. 34, No. 1, 23-49 (1990). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{T. S. Butalia} et al., Comput. Struct. 34, No. 1, 23--49 (1990; Zbl 0713.73085) Full Text: DOI OpenURL
Abdalla, Hamed; Hassan, Kamal Shape effect on Morley’s element. (English) Zbl 0582.73066 Commun. Appl. Numer. Methods 1, 255-259 (1985). MSC: 74S05 PDF BibTeX XML Cite \textit{H. Abdalla} and \textit{K. Hassan}, Commun. Appl. Numer. Methods 1, 255--259 (1985; Zbl 0582.73066) Full Text: DOI OpenURL
Ruas de Barros, V. Some results on the curved plate bending problem solved with non- conforming finite elements. (English) Zbl 0497.73074 Calcolo 15, 101-120 (1978). MSC: 74S05 74K20 65N30 PDF BibTeX XML Cite \textit{V. Ruas de Barros}, Calcolo 15, 101--120 (1978; Zbl 0497.73074) Full Text: DOI OpenURL