Wriggers, P.; Hudobivnik, B.; Allix, O. On two simple virtual Kirchhoff-Love plate elements for isotropic and anisotropic materials. (English) Zbl 07492687 Comput. Mech. 69, No. 2, 615-637 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{P. Wriggers} et al., Comput. Mech. 69, No. 2, 615--637 (2022; Zbl 07492687) Full Text: DOI OpenURL
Zhou, Xinchen; Meng, Zhaoliang; Fan, Xin; Luo, Zhongxuan Robust nonconforming polynomial finite elements over quadrilaterals. (English) Zbl 1480.65351 Int. J. Comput. Math. 98, No. 4, 758-782 (2021). MSC: 65N30 PDF BibTeX XML Cite \textit{X. Zhou} et al., Int. J. Comput. Math. 98, No. 4, 758--782 (2021; Zbl 1480.65351) Full Text: DOI OpenURL
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas A family of \(C^1\) quadrilateral finite elements. (English) Zbl 1480.65339 Adv. Comput. Math. 47, No. 6, Paper No. 82, 38 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65D07 31A30 PDF BibTeX XML Cite \textit{M. Kapl} et al., Adv. Comput. Math. 47, No. 6, Paper No. 82, 38 p. (2021; Zbl 1480.65339) Full Text: DOI arXiv OpenURL
Hu, Jun; Ma, Rui; Zhang, Min A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids. (English) Zbl 07445153 Sci. China, Math. 64, No. 12, 2793-2816 (2021). MSC: 65N12 65N30 74S05 PDF BibTeX XML Cite \textit{J. Hu} et al., Sci. China, Math. 64, No. 12, 2793--2816 (2021; Zbl 07445153) Full Text: DOI arXiv OpenURL
Zhang, Shuo An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations. (English) Zbl 1477.65251 Sci. China, Math. 64, No. 11, 2579-2602 (2021). MSC: 65N30 65N50 65N12 76E25 76W05 35Q35 PDF BibTeX XML Cite \textit{S. Zhang}, Sci. China, Math. 64, No. 11, 2579--2602 (2021; Zbl 1477.65251) Full Text: DOI arXiv OpenURL
Cuomo, M.; Greco, Leopoldo An implicit strong \(\mathrm{G}^1\)-conforming formulation for the analysis of the Kirchhoff plate model. (English) Zbl 1442.74115 Contin. Mech. Thermodyn. 32, No. 3, 621-645 (2020). MSC: 74K20 PDF BibTeX XML Cite \textit{M. Cuomo} and \textit{L. Greco}, Contin. Mech. Thermodyn. 32, No. 3, 621--645 (2020; Zbl 1442.74115) Full Text: DOI OpenURL
Li, Chong-Jun; Jia, Yan-Mei A superconvergent nonconforming quadrilateral spline element for biharmonic equation using the B-net method. (English) Zbl 1449.65318 Comput. Appl. Math. 39, No. 2, Paper No. 70, 31 p. (2020). MSC: 65N30 65D07 65N12 65N15 PDF BibTeX XML Cite \textit{C.-J. Li} and \textit{Y.-M. Jia}, Comput. Appl. Math. 39, No. 2, Paper No. 70, 31 p. (2020; Zbl 1449.65318) Full Text: DOI OpenURL
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin A new \(P_1\) weak Galerkin method for the biharmonic equation. (English) Zbl 1427.65342 J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020). MSC: 65N15 65N30 35B45 35J50 35J35 PDF BibTeX XML Cite \textit{X. Ye} et al., J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020; Zbl 1427.65342) Full Text: DOI OpenURL
Nguyen-Xuan, H.; Chau, Khanh N.; Chau, Khai N. Polytopal composite finite elements. (English) Zbl 1441.65109 Comput. Methods Appl. Mech. Eng. 355, 405-437 (2019). MSC: 65N30 PDF BibTeX XML Cite \textit{H. Nguyen-Xuan} et al., Comput. Methods Appl. Mech. Eng. 355, 405--437 (2019; Zbl 1441.65109) Full Text: DOI OpenURL
Bao, Yuan; Meng, Zhaoliang; Luo, Zhongxuan A \(C^{0}\)-nonconforming quadrilateral finite element for the fourth-order elliptic singular perturbation problem. (English) Zbl 1426.65169 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1981-2001 (2018). Reviewer: Kai Schneider (Marseille) MSC: 65N30 65N12 35J30 35B25 PDF BibTeX XML Cite \textit{Y. Bao} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1981--2001 (2018; Zbl 1426.65169) Full Text: DOI OpenURL
Beheshti, Alireza Novel quadrilateral elements based on explicit Hermite polynomials for bending of Kirchhoff-Love plates. (English) Zbl 1462.74148 Comput. Mech. 62, No. 5, 1199-1211 (2018). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{A. Beheshti}, Comput. Mech. 62, No. 5, 1199--1211 (2018; Zbl 1462.74148) Full Text: DOI OpenURL
Chen, Juan The quadrilateral Mindlin plate elements using the spline interpolation bases. (English) Zbl 1426.74199 J. Comput. Appl. Math. 329, 68-83 (2018). MSC: 74K20 74S05 65N30 PDF BibTeX XML Cite \textit{J. Chen}, J. Comput. Appl. Math. 329, 68--83 (2018; Zbl 1426.74199) Full Text: DOI OpenURL
Maunder, E. A. W.; Izzuddin, B. A. A hybrid equilibrium element for folded plate and shell structures. (English) Zbl 1352.74404 Int. J. Numer. Methods Eng. 95, No. 6, 451-477 (2013). MSC: 74S05 74B05 74K20 74K25 PDF BibTeX XML Cite \textit{E. A. W. Maunder} and \textit{B. A. Izzuddin}, Int. J. Numer. Methods Eng. 95, No. 6, 451--477 (2013; Zbl 1352.74404) Full Text: DOI OpenURL
Man, H.; Song, C.; Xiang, T.; Gao, W.; Tin-Loi, F. High-order plate bending analysis based on the scaled boundary finite element method. (English) Zbl 1352.74402 Int. J. Numer. Methods Eng. 95, No. 4, 331-360 (2013). MSC: 74S05 74K20 65N30 74G60 PDF BibTeX XML Cite \textit{H. Man} et al., Int. J. Numer. Methods Eng. 95, No. 4, 331--360 (2013; Zbl 1352.74402) Full Text: DOI OpenURL
Moitinho de Almeida, J. P.; Maunder, E. A. W. A general degree hybrid equilibrium finite element for Kirchhoff plates. (English) Zbl 1352.74409 Int. J. Numer. Methods Eng. 94, No. 4, 331-354 (2013). MSC: 74S05 74K20 65N30 PDF BibTeX XML Cite \textit{J. P. Moitinho de Almeida} and \textit{E. A. W. Maunder}, Int. J. Numer. Methods Eng. 94, No. 4, 331--354 (2013; Zbl 1352.74409) Full Text: DOI OpenURL
Chen, Juan; Li, Chong-Jun Development of quadrilateral spline thin plate elements using the B-net method. (English) Zbl 1346.74166 Acta Mech. Sin. 29, No. 4, 567-574 (2013). MSC: 74S05 65N30 74K20 PDF BibTeX XML Cite \textit{J. Chen} and \textit{C.-J. Li}, Acta Mech. Sin. 29, No. 4, 567--574 (2013; Zbl 1346.74166) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{F. Brezzi} et al., Comput. Methods Appl. Mech. Eng. 200, No. 33--36, 2547--2561 (2011; Zbl 1230.74170) Full Text: DOI OpenURL
Cartier, J.; Peybernes, M. Mixed variational formulation and mixed-hybrid discretization of the transport equation. (English) Zbl 1214.82094 Transp. Theory Stat. Phys. 39, No. 1, 1-46 (2010). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 82C70 65N30 PDF BibTeX XML Cite \textit{J. Cartier} and \textit{M. Peybernes}, Transp. Theory Stat. Phys. 39, No. 1, 1--46 (2010; Zbl 1214.82094) Full Text: DOI OpenURL
Davydov, Oleg; Manni, Carla A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations. (English) Zbl 1181.65022 J. Comput. Appl. Math. 233, No. 7, 1674-1684 (2010). MSC: 65D17 41A15 41A63 65D07 65D15 PDF BibTeX XML Cite \textit{O. Davydov} and \textit{C. Manni}, J. Comput. Appl. Math. 233, No. 7, 1674--1684 (2010; Zbl 1181.65022) Full Text: DOI OpenURL
Lang, Feng-Gong; Wang, Ren-Hong Bivariate \(C^{1}\) cubic spline spaces with homogeneous boundary conditions over FVS triangulation. (English) Zbl 1189.65033 Comput. Math. Appl. 58, No. 3, 464-473 (2009). MSC: 65D07 41A15 PDF BibTeX XML Cite \textit{F.-G. Lang} and \textit{R.-H. Wang}, Comput. Math. Appl. 58, No. 3, 464--473 (2009; Zbl 1189.65033) Full Text: DOI OpenURL
Liu, Jian-Guo; Liu, Jie; Pego, Robert L. Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions. (English) Zbl 1422.76043 Chin. Ann. Math., Ser. B 30, No. 6, 743-768 (2009). MSC: 76D05 65M15 76M10 65M12 65M60 PDF BibTeX XML Cite \textit{J.-G. Liu} et al., Chin. Ann. Math., Ser. B 30, No. 6, 743--768 (2009; Zbl 1422.76043) Full Text: DOI OpenURL
Zhang, Shangyou A family of 3D continuously differentiable finite elements on tetrahedral grids. (English) Zbl 1205.76164 Appl. Numer. Math. 59, No. 1, 219-233 (2009). Reviewer: I. N. Katz (St. Louis) MSC: 76M10 65N30 76V05 PDF BibTeX XML Cite \textit{S. Zhang}, Appl. Numer. Math. 59, No. 1, 219--233 (2009; Zbl 1205.76164) Full Text: DOI OpenURL
Muñoz, J. J. Modelling unilateral frictionless contact using the null-space method and cubic \(B\)-spline interpolation. (English) Zbl 1169.74509 Comput. Methods Appl. Mech. Eng. 197, No. 9-12, 979-993 (2008). MSC: 74M15 74S30 PDF BibTeX XML Cite \textit{J. J. Muñoz}, Comput. Methods Appl. Mech. Eng. 197, No. 9--12, 979--993 (2008; Zbl 1169.74509) Full Text: DOI OpenURL
Nguyen-Xuan, H.; Rabczuk, T.; Bordas, Stéphane; Debongnie, J. F. A smoothed finite element method for plate analysis. (English) Zbl 1159.74434 Comput. Methods Appl. Mech. Eng. 197, No. 13-16, 1184-1203 (2008). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{H. Nguyen-Xuan} et al., Comput. Methods Appl. Mech. Eng. 197, No. 13--16, 1184--1203 (2008; Zbl 1159.74434) Full Text: DOI Link OpenURL
Lu, Hongsheng; Li, Shaofan; Simkins, Daniel C. jun.; Liu, Wing Kam; Cao, Jian Reproducing kernel element method. III: Generalized enrichment and applications. (English) Zbl 1060.74671 Comput. Methods Appl. Mech. Eng. 193, No. 12-14, 989-1011 (2004). MSC: 74S30 74S05 PDF BibTeX XML Cite \textit{H. Lu} et al., Comput. Methods Appl. Mech. Eng. 193, No. 12--14, 989--1011 (2004; Zbl 1060.74671) Full Text: DOI OpenURL
Li, Shaofan; Lu, Hongsheng; Han, Weimin; Liu, Wing Kam; Simkins, Daniel C. Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies. (English) Zbl 1093.74062 Comput. Methods Appl. Mech. Eng. 193, No. 12-14, 953-987 (2004). MSC: 74S30 74S05 PDF BibTeX XML Cite \textit{S. Li} et al., Comput. Methods Appl. Mech. Eng. 193, No. 12--14, 953--987 (2004; Zbl 1093.74062) Full Text: DOI OpenURL
Cueto, E.; Sukumar, N.; Calvo, B.; Martínez, M. A.; Cegoñino, J.; Doblaré, M. Overview and recent advances in natural neighbour Galerkin methods. (English) Zbl 1050.74001 Arch. Comput. Methods Eng. 10, No. 4, 307-384 (2003). MSC: 74-02 74S30 74S05 PDF BibTeX XML Cite \textit{E. Cueto} et al., Arch. Comput. Methods Eng. 10, No. 4, 307--384 (2003; Zbl 1050.74001) Full Text: DOI OpenURL
Puso, Michael Anthony; Laursen, Tod A. A 3D contact smoothing method using Gregory patches. (English) Zbl 1098.74711 Int. J. Numer. Methods Eng. 54, No. 8, 1161-1194 (2002). MSC: 74S05 74M15 PDF BibTeX XML Cite \textit{M. A. Puso} and \textit{T. A. Laursen}, Int. J. Numer. Methods Eng. 54, No. 8, 1161--1194 (2002; Zbl 1098.74711) Full Text: DOI OpenURL
Nürnberger, G.; Zeilfelder, F. Interpolation by spline spaces on classes of triangulations. (English) Zbl 0966.65018 J. Comput. Appl. Math. 119, No. 1-2, 347-376 (2000). Reviewer: Jesus Illán González (Vigo) MSC: 65D07 65D05 65D18 41A15 PDF BibTeX XML Cite \textit{G. Nürnberger} and \textit{F. Zeilfelder}, J. Comput. Appl. Math. 119, No. 1--2, 347--376 (2000; Zbl 0966.65018) Full Text: DOI OpenURL
Bezine, G.; Millet, B. A new plate finite element using integral representation interpolation. (English) Zbl 0956.74051 Eng. Anal. Bound. Elem. 23, No. 7, 549-554 (1999). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{G. Bezine} and \textit{B. Millet}, Eng. Anal. Bound. Elem. 23, No. 7, 549--554 (1999; Zbl 0956.74051) Full Text: DOI OpenURL
Sukumar, N.; Moran, B. \(C^1\) natural neighbor interpolant for partial differential equations. (English) Zbl 0943.74080 Numer. Methods Partial Differ. Equations 15, No. 4, 417-447 (1999). Reviewer: Ladislav Prášek (Plzeň) MSC: 74S30 65D05 65N55 PDF BibTeX XML Cite \textit{N. Sukumar} and \textit{B. Moran}, Numer. Methods Partial Differ. Equations 15, No. 4, 417--447 (1999; Zbl 0943.74080) Full Text: DOI OpenURL
Brenner, Susanne C. A nonstandard finite element interpolation estimate. (English) Zbl 0938.65133 Numer. Funct. Anal. Optimization 20, No. 3-4, 245-250 (1999). Reviewer: V.Arnăutu (Iaşi) MSC: 65N30 65N12 65D05 PDF BibTeX XML Cite \textit{S. C. Brenner}, Numer. Funct. Anal. Optim. 20, No. 3--4, 245--250 (1999; Zbl 0938.65133) Full Text: DOI OpenURL
Brenner, Susanne C. Convergence of nonconforming multigrid methods without full elliptic regularity. (English) Zbl 0912.65099 Math. Comput. 68, No. 225, 25-53 (1999). Reviewer: M.Bernadou (Le Chesnay) MSC: 65N55 65N30 65N12 35J25 35J40 PDF BibTeX XML Cite \textit{S. C. Brenner}, Math. Comput. 68, No. 225, 25--53 (1999; Zbl 0912.65099) Full Text: DOI OpenURL
Brenner, Susanne C. Two-level additive Schwarz preconditioners for plate elements. (English) Zbl 0968.74598 Wuhan Univ. J. Nat. Sci. 1, No. 3-4, 658-667 (1996). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{S. C. Brenner}, Wuhan Univ. J. Nat. Sci. 1, No. 3--4, 658--667 (1996; Zbl 0968.74598) Full Text: DOI OpenURL
Felippa, C. A.; Bergan, P. G. A triangular bending element based on an energy-orthogonal free formulation. (English) Zbl 0596.73048 Comput. Methods Appl. Mech. Eng. 61, 129-160 (1987). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{C. A. Felippa} and \textit{P. G. Bergan}, Comput. Methods Appl. Mech. Eng. 61, 129--160 (1987; Zbl 0596.73048) Full Text: DOI OpenURL
Carey, G. F.; Kabaila, A.; Utku, M. On Penalty methods for interelement constraints. (English) Zbl 0483.73071 Comput. Methods Appl. Mech. Eng. 30, 151-171 (1982). MSC: 74S30 65N30 49M30 49M29 74S05 PDF BibTeX XML Cite \textit{G. F. Carey} et al., Comput. Methods Appl. Mech. Eng. 30, 151--171 (1982; Zbl 0483.73071) Full Text: DOI OpenURL
Ohtake, K.; Oden, J. T.; Kikuchi, N. Analysis of certain unilateral problems in von Kármán plate theory by a penalty method. II. Approximation and numerical analysis. (English) Zbl 0457.73096 Comput. Methods Appl. Mech. Eng. 24, 317-337 (1980). MSC: 74A55 74M15 74S05 65N30 65K10 74-04 74K20 49J40 35D10 74G60 47H05 49M30 35G30 PDF BibTeX XML Cite \textit{K. Ohtake} et al., Comput. Methods Appl. Mech. Eng. 24, 317--337 (1980; Zbl 0457.73096) Full Text: DOI OpenURL
Jirousek, Jaroslav; Leon, Nicos A powerful finite element for plate bending. (English) Zbl 0366.73065 Computer Methods Appl. Mech. Engin. 12, 77-96 (1977). MSC: 74K20 74S05 PDF BibTeX XML Cite \textit{J. Jirousek} and \textit{N. Leon}, Comput. Methods Appl. Mech. Eng. 12, 77--96 (1977; Zbl 0366.73065) Full Text: DOI OpenURL
Fraeijs de Veubeke, B. M.; Millard, A. Discretization of stress fields in the finite element method. (English) Zbl 0352.73061 J. Franklin Inst. 302, 389-412 (1976). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{B. M. Fraeijs de Veubeke} and \textit{A. Millard}, J. Franklin Inst. 302, 389--412 (1976; Zbl 0352.73061) Full Text: DOI Link OpenURL
Fortin, M. Utilisation de la méthode des éléments finis en mécanique des fluides. I. (French) Zbl 0351.76030 Calcolo 12(1975), 405-441 (1976). MSC: 76D05 65Z05 PDF BibTeX XML Cite \textit{M. Fortin}, Calcolo 12, 405--441 (1976; Zbl 0351.76030) Full Text: DOI OpenURL
Brezzi, F.; Marini, L. D. On the numerical solution of plate bending problems by hybrid methods. (English) Zbl 0322.73048 Rev. Franc. Automat. Inform. Rech. Operat. 9, Analyse numer. R-3, 50 p. (1975). MSC: 74S05 74K20 65Z05 65N99 PDF BibTeX XML Cite \textit{F. Brezzi} and \textit{L. D. Marini}, Rev. Franc. Automat. Inform. Rech. Operat., R 9, No. 3, 50 p. (1975; Zbl 0322.73048) Full Text: EuDML OpenURL
Ciavaldini, Jean-François; Nedelec, J. C. Sur l’élément de Fraeijs de Veubeke et Sander. (French) Zbl 0304.65077 Rev. Franc. Automat. Inform. Rech. Operat. 8, Analyse numer., R-2, 29-45 (1974). MSC: 65N30 PDF BibTeX XML Cite \textit{J.-F. Ciavaldini} and \textit{J. C. Nedelec}, Rev. Franc. Automat. Inform. Rech. Operat., R 8, No. 2, 29--45 (1974; Zbl 0304.65077) Full Text: EuDML OpenURL
Fraeijs de Veubeke, B. Variational principles and the patch test. (English) Zbl 0284.73043 Int. J. Numer. Methods Eng. 8, 783-801 (1974). MSC: 74S05 PDF BibTeX XML Cite \textit{B. Fraeijs de Veubeke}, Int. J. Numer. Methods Eng. 8, 783--801 (1974; Zbl 0284.73043) Full Text: DOI OpenURL
Laudiero, Ferdinando; Tralli, Antonio Finite element incremental analysis of elastoplastic plate bending. (English) Zbl 0269.73055 Meccanica 8, 190-202 (1973). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{F. Laudiero} and \textit{A. Tralli}, Meccanica 8, 190--202 (1973; Zbl 0269.73055) Full Text: DOI OpenURL
Zlámal, Miloš On the finite element method. (English) Zbl 0176.16001 Numer. Math. 12, 394-409 (1968). MSC: 65N30 PDF BibTeX XML Cite \textit{M. Zlámal}, Numer. Math. 12, 394--409 (1968; Zbl 0176.16001) Full Text: DOI EuDML OpenURL