Lohi, Jonni; Kettunen, Lauri Whitney forms and their extensions. (English) Zbl 1468.65200 J. Comput. Appl. Math. 393, Article ID 113520, 19 p. (2021). MSC: 65N30 58A10 PDFBibTeX XMLCite \textit{J. Lohi} and \textit{L. Kettunen}, J. Comput. Appl. Math. 393, Article ID 113520, 19 p. (2021; Zbl 1468.65200) Full Text: DOI
Moreno-Navarro, Pablo; Ibrahimbegovic, Adnan; Ospina, Alejandro Multi-field variational formulations and mixed finite element approximations for electrostatics and magnetostatics. (English) Zbl 1490.78009 Comput. Mech. 65, No. 1, 41-59 (2020). MSC: 78M10 78M30 78A30 65N30 PDFBibTeX XMLCite \textit{P. Moreno-Navarro} et al., Comput. Mech. 65, No. 1, 41--59 (2020; Zbl 1490.78009) Full Text: DOI Link
Chen, Wenbin; Wang, Yanqiu \(H^1, H(\text{curl})\) and \(H(\text{div})\) conforming elements on polygon-based prisms and cones. (English) Zbl 1446.65163 Numer. Math. 145, No. 4, 973-1004 (2020). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y. Wang}, Numer. Math. 145, No. 4, 973--1004 (2020; Zbl 1446.65163) Full Text: DOI
Jawtuschenko, Alexis B.; Lombardi, Ariel L. A mixed discretization of elliptic problems on polyhedra using anisotropic hybrid meshes. (English) Zbl 1419.65112 Calcolo 56, No. 2, Paper No. 10, 46 p. (2019). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{A. B. Jawtuschenko} and \textit{A. L. Lombardi}, Calcolo 56, No. 2, Paper No. 10, 46 p. (2019; Zbl 1419.65112) Full Text: DOI
Ainsworth, Mark; Fu, Guosheng A lowest-order composite finite element exact sequence on pyramids. (English) Zbl 1439.74381 Comput. Methods Appl. Mech. Eng. 324, 110-127 (2017). MSC: 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{G. Fu}, Comput. Methods Appl. Mech. Eng. 324, 110--127 (2017; Zbl 1439.74381) Full Text: DOI arXiv
Liu, Xin; Li, Jian; Chen, Zhangxin A nonconforming virtual element method for the Stokes problem on general meshes. (English) Zbl 1439.76085 Comput. Methods Appl. Mech. Eng. 320, 694-711 (2017). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{X. Liu} et al., Comput. Methods Appl. Mech. Eng. 320, 694--711 (2017; Zbl 1439.76085) Full Text: DOI
Chen, Wenbin; Wang, Yanqiu Minimal degree \(H(\mathrm {curl})\) and \(H(\mathrm {div})\) conforming finite elements on polytopal meshes. (English) Zbl 1364.65244 Math. Comput. 86, No. 307, 2053-2087 (2017). MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y. Wang}, Math. Comput. 86, No. 307, 2053--2087 (2017; Zbl 1364.65244) Full Text: DOI arXiv
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit Construction of scalar and vector finite element families on polygonal and polyhedral meshes. (English) Zbl 1348.65163 Comput. Methods Appl. Math. 16, No. 4, 667-683 (2016). MSC: 65N30 41A30 65D05 41A25 PDFBibTeX XMLCite \textit{A. Gillette} et al., Comput. Methods Appl. Math. 16, No. 4, 667--683 (2016; Zbl 1348.65163) Full Text: DOI arXiv Link
Fuentes, Federico; Keith, Brendan; Demkowicz, Leszek; Nagaraj, Sriram Orientation embedded high order shape functions for the exact sequence elements of all shapes. (English) Zbl 1443.65326 Comput. Math. Appl. 70, No. 4, 353-458 (2015). MSC: 65N30 68U07 PDFBibTeX XMLCite \textit{F. Fuentes} et al., Comput. Math. Appl. 70, No. 4, 353--458 (2015; Zbl 1443.65326) Full Text: DOI arXiv
Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A. The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. (English) Zbl 1207.78041 J. Comput. Phys. 230, No. 2, 305-328 (2011). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M20 78A30 PDFBibTeX XMLCite \textit{K. Lipnikov} et al., J. Comput. Phys. 230, No. 2, 305--328 (2011; Zbl 1207.78041) Full Text: DOI
Bossavit, A. A uniform rationale for Whitney forms on various supporting shapes. (English) Zbl 1196.78024 Math. Comput. Simul. 80, No. 8, 1567-1577 (2010). MSC: 78M10 PDFBibTeX XMLCite \textit{A. Bossavit}, Math. Comput. Simul. 80, No. 8, 1567--1577 (2010; Zbl 1196.78024) Full Text: DOI
Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G. Mimetic finite difference method for the Stokes problem on polygonal meshes. (English) Zbl 1172.76032 J. Comput. Phys. 228, No. 19, 7215-7232 (2009). MSC: 76M20 76D07 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., J. Comput. Phys. 228, No. 19, 7215--7232 (2009; Zbl 1172.76032) Full Text: DOI Link
Bluck, M. J.; Walker, S. P. Polynomial basis functions on pyramidal elements. (English) Zbl 1152.74044 Commun. Numer. Methods Eng. 24, No. 12, 1827-1837 (2008). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{M. J. Bluck} and \textit{S. P. Walker}, Commun. Numer. Methods Eng. 24, No. 12, 1827--1837 (2008; Zbl 1152.74044) Full Text: DOI
Ledger, P. D.; Morgan, K. The application of the \(hp\)-finite element method to electromagnetic problems. (English) Zbl 1195.78059 Arch. Comput. Methods Eng. 12, No. 3, 235-302 (2005). Reviewer: Weiying Zheng (Beijing) MSC: 78M10 PDFBibTeX XMLCite \textit{P. D. Ledger} and \textit{K. Morgan}, Arch. Comput. Methods Eng. 12, No. 3, 235--302 (2005; Zbl 1195.78059) Full Text: DOI
Hiptmair, R. Analysis of multilevel methods for eddy current problems. (English) Zbl 1018.78008 Math. Comput. 72, No. 243, 1281-1303 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 78M25 65N30 35Q60 65N55 78A25 PDFBibTeX XMLCite \textit{R. Hiptmair}, Math. Comput. 72, No. 243, 1281--1303 (2003; Zbl 1018.78008) Full Text: DOI