Artioli, Edoardo; De Miranda, Stefano; Lovadina, Carlo; Patruno, Luca A dual hybrid virtual element method for plane elasticity problems. (English) Zbl 1482.65210 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725-1750 (2020). Reviewer: Lijun Yi (Shanghai) MSC: 65N30 65N15 65N12 35B45 74B10 74K10 PDF BibTeX XML Cite \textit{E. Artioli} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725--1750 (2020; Zbl 1482.65210) Full Text: DOI arXiv OpenURL
Bai, Yanhong; Wu, Yongke; Xie, Xiaoping Uniform convergence analysis of a higher order hybrid stress quadrilateral finite element method for linear elasticity problems. (English) Zbl 1488.65605 Adv. Appl. Math. Mech. 8, No. 3, 399-425 (2016). MSC: 65N30 65N12 74B10 35Q74 PDF BibTeX XML Cite \textit{Y. Bai} et al., Adv. Appl. Math. Mech. 8, No. 3, 399--425 (2016; Zbl 1488.65605) Full Text: DOI OpenURL
Li, Binjie; Xie, Xiaoping Analysis of a family of HDG methods for second order elliptic problems. (English) Zbl 1382.65412 J. Comput. Appl. Math. 307, 37-51 (2016). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{B. Li} and \textit{X. Xie}, J. Comput. Appl. Math. 307, 37--51 (2016; Zbl 1382.65412) Full Text: DOI arXiv OpenURL
Rah, K.; van Paepegem, W.; Degrieck, J. An optimal versatile partial hybrid stress solid-shell element for the analysis of multilayer composites. (English) Zbl 1352.74090 Int. J. Numer. Methods Eng. 93, No. 2, 201-223 (2013). MSC: 74E30 74S05 65N30 74A10 PDF BibTeX XML Cite \textit{K. Rah} et al., Int. J. Numer. Methods Eng. 93, No. 2, 201--223 (2013; Zbl 1352.74090) Full Text: DOI OpenURL
Rah, K.; Van Paepegem, W.; Degrieck, J. A novel versatile multilayer hybrid stress solid-shell element. (English) Zbl 1366.74074 Comput. Mech. 51, No. 6, 825-841 (2013). MSC: 74S05 74K25 74E30 PDF BibTeX XML Cite \textit{K. Rah} et al., Comput. Mech. 51, No. 6, 825--841 (2013; Zbl 1366.74074) Full Text: DOI OpenURL
Rah, K.; Van Paepegem, W.; Habraken, A. M.; Degrieck, J. A mixed solid-shell element for the analysis of laminated composites. (English) Zbl 1242.74152 Int. J. Numer. Methods Eng. 89, No. 7, 805-828 (2012). MSC: 74S05 74E30 74K25 PDF BibTeX XML Cite \textit{K. Rah} et al., Int. J. Numer. Methods Eng. 89, No. 7, 805--828 (2012; Zbl 1242.74152) Full Text: DOI OpenURL
Rah, K.; Van Paepegem, W.; Habraken, A. M.; Degrieck, J. A partial hybrid stress solid-shell element for the analysis of laminated composites. (English) Zbl 1239.74029 Comput. Methods Appl. Mech. Eng. 200, No. 49-52, 3526-3539 (2011). MSC: 74G65 74A40 74S05 PDF BibTeX XML Cite \textit{K. Rah} et al., Comput. Methods Appl. Mech. Eng. 200, No. 49--52, 3526--3539 (2011; Zbl 1239.74029) Full Text: DOI Link OpenURL
Yu, Guozhu; Xie, Xiaoping; Carstensen, Carsten Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods. (English) Zbl 1230.74205 Comput. Methods Appl. Mech. Eng. 200, No. 29-32, 2421-2433 (2011). MSC: 74S05 65N30 65N15 PDF BibTeX XML Cite \textit{G. Yu} et al., Comput. Methods Appl. Mech. Eng. 200, No. 29--32, 2421--2433 (2011; Zbl 1230.74205) Full Text: DOI arXiv OpenURL
Zhang, Canhui; Wang, Dongdong; Li, Tongshan Orthogonal basic deformation mode method for zero-energy mode suppression of hybrid stress elements. (English) Zbl 1366.74002 Appl. Math. Mech., Engl. Ed. 32, No. 1, 83-96 (2011). MSC: 74A10 65N30 74S05 PDF BibTeX XML Cite \textit{C. Zhang} et al., Appl. Math. Mech., Engl. Ed. 32, No. 1, 83--96 (2011; Zbl 1366.74002) Full Text: DOI OpenURL
Castro, Luís Manuel Santos Polynomial wavelets in hybrid-mixed stress finite element models. (English) Zbl 1274.74057 Int. J. Numer. Methods Biomed. Eng. 26, No. 10, 1293-1312 (2010). MSC: 74B10 74S05 65N30 65T60 PDF BibTeX XML Cite \textit{L. M. S. Castro}, Int. J. Numer. Methods Biomed. Eng. 26, No. 10, 1293--1312 (2010; Zbl 1274.74057) Full Text: DOI OpenURL
Wisniewski, K.; Turska, E. Improved four-node Hellinger-Reissner elements based on skew coordinates. (English) Zbl 1195.74207 Int. J. Numer. Methods Eng. 76, No. 6, 798-836 (2008). MSC: 74S05 PDF BibTeX XML Cite \textit{K. Wisniewski} and \textit{E. Turska}, Int. J. Numer. Methods Eng. 76, No. 6, 798--836 (2008; Zbl 1195.74207) Full Text: DOI OpenURL
de Miranda, Stefano; Molari, Luisa; Ubertini, Francesco A consistent approach for mixed stress finite element formulations in linear elastodynamics. (English) Zbl 1159.74441 Comput. Methods Appl. Mech. Eng. 197, No. 13-16, 1376-1388 (2008). MSC: 74S05 74H15 74B05 PDF BibTeX XML Cite \textit{S. de Miranda} et al., Comput. Methods Appl. Mech. Eng. 197, No. 13--16, 1376--1388 (2008; Zbl 1159.74441) Full Text: DOI OpenURL
Xiao, Q. Z.; Karihaloo, B. L. Implementation of hybrid crack element on a general finite element mesh and in combination with XFEM. (English) Zbl 1173.74448 Comput. Methods Appl. Mech. Eng. 196, No. 13-16, 1864-1873 (2007). MSC: 74S05 74R10 PDF BibTeX XML Cite \textit{Q. Z. Xiao} and \textit{B. L. Karihaloo}, Comput. Methods Appl. Mech. Eng. 196, No. 13--16, 1864--1873 (2007; Zbl 1173.74448) Full Text: DOI OpenURL
Wang, H. T.; Sze, K. Y.; Yang, X. M. Analysis of electromechanical stress singularity in piezoelectrics by computed eigensolutions and hybrid-Trefftz finite element models. (English) Zbl 1168.74355 Comput. Mech. 38, No. 6, 551-564 (2006). MSC: 74G70 74R10 74F15 74S05 74E40 PDF BibTeX XML Cite \textit{H. T. Wang} et al., Comput. Mech. 38, No. 6, 551--564 (2006; Zbl 1168.74355) Full Text: DOI OpenURL
Li, Z. R.; Lim, C. W.; Wu, C. C. Bound theorem and implementation of dual finite elements for fracture assessment of piezoelectric materials. (English) Zbl 1096.74045 Comput. Mech. 36, No. 3, 209-216 (2005). MSC: 74R10 74F15 74S05 PDF BibTeX XML Cite \textit{Z. R. Li} et al., Comput. Mech. 36, No. 3, 209--216 (2005; Zbl 1096.74045) Full Text: DOI OpenURL
Zhou, Tianxiao Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems. (English) Zbl 1081.74046 Math. Comput. 72, No. 244, 1655-1673 (2003). MSC: 74S05 74B05 49M30 65N12 65N30 PDF BibTeX XML Cite \textit{T. Zhou}, Math. Comput. 72, No. 244, 1655--1673 (2003; Zbl 1081.74046) Full Text: DOI OpenURL
Zhou, Tianxiao; Xie, Xiaoping A unified analysis for stress/strain hybrid methods of high performance. (English) Zbl 1039.74052 Comput. Methods Appl. Mech. Eng. 191, No. 41-42, 4619-4640 (2002). MSC: 74S05 74B05 65N15 65N30 PDF BibTeX XML Cite \textit{T. Zhou} and \textit{X. Xie}, Comput. Methods Appl. Mech. Eng. 191, No. 41--42, 4619--4640 (2002; Zbl 1039.74052) Full Text: DOI OpenURL
Geyer, Sannelie; Groenwold, Albert A. Two hybrid stress membrane finite element families with drilling rotations. (English) Zbl 1112.74514 Int. J. Numer. Methods Eng. 53, No. 3, 583-601 (2002). MSC: 74S05 74K15 PDF BibTeX XML Cite \textit{S. Geyer} and \textit{A. A. Groenwold}, Int. J. Numer. Methods Eng. 53, No. 3, 583--601 (2002; Zbl 1112.74514) Full Text: DOI OpenURL
Zhou, T.-X.; Nie, Y.-F. Combined hybrid approach to finite element schemes of high performance. (English) Zbl 0983.74078 Int. J. Numer. Methods Eng. 51, No. 2, 181-202 (2001). MSC: 74S05 74B05 PDF BibTeX XML Cite \textit{T. X. Zhou} and \textit{Y. F. Nie}, Int. J. Numer. Methods Eng. 51, No. 2, 181--202 (2001; Zbl 0983.74078) Full Text: DOI OpenURL
Zhang, Wu; Chen, D. P. The patch test conditions and some multivariable finite element formulations. (English) Zbl 0895.73070 Int. J. Numer. Methods Eng. 40, No. 16, 3015-3032 (1997). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{D. P. Chen}, Int. J. Numer. Methods Eng. 40, No. 16, 3015--3032 (1997; Zbl 0895.73070) Full Text: DOI OpenURL
Yeo, Seung Tai; Lee, Byung Chai New stress assumption for hybrid stress elements and refined four-node plane and eight-node brick elements. (English) Zbl 0905.73073 Int. J. Numer. Methods Eng. 40, No. 16, 2933-2952 (1997). MSC: 74S05 74B10 PDF BibTeX XML Cite \textit{S. T. Yeo} and \textit{B. C. Lee}, Int. J. Numer. Methods Eng. 40, No. 16, 2933--2952 (1997; Zbl 0905.73073) Full Text: DOI OpenURL
Feng, W.; Hoa, S. V.; Huang, Q. Classification of stress modes in assumed stress fields of hybrid finite elements. (English) Zbl 0893.73060 Int. J. Numer. Methods Eng. 40, No. 23, 4313-4339 (1997). Reviewer: I.N.Molchanov (Kyïv) MSC: 74S05 74B10 PDF BibTeX XML Cite \textit{W. Feng} et al., Int. J. Numer. Methods Eng. 40, No. 23, 4313--4339 (1997; Zbl 0893.73060) Full Text: DOI OpenURL
Wu, Changchun; Cheung, Y. K. Penalty-equilibrating approach and an innovative formulation of 4-noded hybrid stress elements. (English) Zbl 0862.73069 Commun. Numer. Methods Eng. 12, No. 11, 707-717 (1996). MSC: 74S05 74B10 PDF BibTeX XML Cite \textit{C. Wu} and \textit{Y. K. Cheung}, Commun. Numer. Methods Eng. 12, No. 11, 707--717 (1996; Zbl 0862.73069) Full Text: DOI OpenURL
Teixeira de Freitas, J. A.; Ji, Z.-Y. Hybrid-Trefftz finite element formulation for simulation of singular stress fields. (English) Zbl 0842.73067 Int. J. Numer. Methods Eng. 39, No. 2, 281-308 (1996). MSC: 74S05 74G70 74H35 PDF BibTeX XML Cite \textit{J. A. Teixeira de Freitas} and \textit{Z. Y. Ji}, Int. J. Numer. Methods Eng. 39, No. 2, 281--308 (1996; Zbl 0842.73067) Full Text: DOI OpenURL
Yeo, Seung Tai; Lee, Byung Chai Equivalence between enhanced assumed strain method and assumed stress hybrid method based on the Hellinger-Reissner principle. (English) Zbl 0884.73075 Int. J. Numer. Methods Eng. 39, No. 18, 3083-3099 (1996). MSC: 74S05 74S30 74P10 PDF BibTeX XML Cite \textit{S. T. Yeo} and \textit{B. C. Lee}, Int. J. Numer. Methods Eng. 39, No. 18, 3083--3099 (1996; Zbl 0884.73075) Full Text: DOI OpenURL
Seki, W.; Atluri, S. N. Analysis of strain localization in strain-softening hyperelastic materials, using assumed stress hybrid elements. (English) Zbl 0813.73069 Comput. Mech. 14, No. 6, 549-585 (1994). MSC: 74S05 74S30 74P10 74B20 74C99 PDF BibTeX XML Cite \textit{W. Seki} and \textit{S. N. Atluri}, Comput. Mech. 14, No. 6, 549--585 (1994; Zbl 0813.73069) Full Text: DOI OpenURL
Di, Shenglin; Ramm, Ekkehard Hybrid stress formulation for higher-order theory of laminated shell analysis. (English) Zbl 0847.73060 Comput. Methods Appl. Mech. Eng. 109, No. 3-4, 359-376 (1993). MSC: 74S05 74K15 74E30 PDF BibTeX XML Cite \textit{S. Di} and \textit{E. Ramm}, Comput. Methods Appl. Mech. Eng. 109, No. 3--4, 359--376 (1993; Zbl 0847.73060) Full Text: DOI OpenURL
Zhang, Wu Theoretical basis and general optimal formulations of isoparametric generalized hybrid/mixed element model for improved stress analysis. (English) Zbl 0788.73078 Acta Mech. Sin., Engl. Ed. 9, No. 3, 277-288 (1993). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{W. Zhang}, Acta Mech. Sin., Engl. Ed. 9, No. 3, 277--288 (1993; Zbl 0788.73078) Full Text: DOI OpenURL
Ghosh, Somnath; Mukhopadhyay, Sankar N. A material based finite element analysis of heterogeneous media involving Dirichlet tessellations. (English) Zbl 0775.73252 Comput. Methods Appl. Mech. Eng. 104, No. 2, 211-247 (1993). MSC: 74S05 PDF BibTeX XML Cite \textit{S. Ghosh} and \textit{S. N. Mukhopadhyay}, Comput. Methods Appl. Mech. Eng. 104, No. 2, 211--247 (1993; Zbl 0775.73252) Full Text: DOI OpenURL
Cazzani, A.; Atluri, S. N. Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes. (English) Zbl 0773.73085 Comput. Mech. 11, No. 4, 229-251 (1993). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{A. Cazzani} and \textit{S. N. Atluri}, Comput. Mech. 11, No. 4, 229--251 (1993; Zbl 0773.73085) Full Text: DOI OpenURL
Weissman, Shmuel L.; Taylor, Robert L. A unified approach to mixed finite element methods: Application to in- plane problems. (English) Zbl 0764.73091 Comput. Methods Appl. Mech. Eng. 98, No. 1, 127-151 (1992). MSC: 74S05 74K10 74K20 PDF BibTeX XML Cite \textit{S. L. Weissman} and \textit{R. L. Taylor}, Comput. Methods Appl. Mech. Eng. 98, No. 1, 127--151 (1992; Zbl 0764.73091) Full Text: DOI OpenURL
Sze, K. Y.; Chow, C. L. Efficient hybrid/mixed elements using admissible matrix formulation. (English) Zbl 0763.73059 Comput. Methods Appl. Mech. Eng. 99, No. 1, 1-26 (1992). MSC: 74S05 74K10 PDF BibTeX XML Cite \textit{K. Y. Sze} and \textit{C. L. Chow}, Comput. Methods Appl. Mech. Eng. 99, No. 1, 1--26 (1992; Zbl 0763.73059) Full Text: DOI OpenURL
Weissman, Shmuel L.; Taylor, Robert L. Resultant fields for mixed plate bending elements. (English) Zbl 0743.73031 Comput. Methods Appl. Mech. Eng. 79, No. 3, 321-355 (1990). Reviewer: Z.Dżygadło (Warszawa) MSC: 74S05 74K20 74S30 74P10 PDF BibTeX XML Cite \textit{S. L. Weissman} and \textit{R. L. Taylor}, Comput. Methods Appl. Mech. Eng. 79, No. 3, 321--355 (1990; Zbl 0743.73031) Full Text: DOI OpenURL
Wu, Chang-Chun Dual zero energy modes in mixed/hybrid elements - definition, analysis and control. (English) Zbl 0717.73071 Comput. Methods Appl. Mech. Eng. 81, No. 1, 39-56 (1990). MSC: 74S05 65K10 74S30 74P10 65N12 74M05 PDF BibTeX XML Cite \textit{C.-C. Wu}, Comput. Methods Appl. Mech. Eng. 81, No. 1, 39--56 (1990; Zbl 0717.73071) Full Text: DOI OpenURL