Cavoretto, Roberto; De Rossi, Alessandra; Dell’Accio, Francesco; Di Tommaso, Filomena A 3D efficient procedure for Shepard interpolants on tetrahedra. (English) Zbl 07249914 Sergeyev, Yaroslav D. (ed.) et al., Numerical computations: theory and algorithms. Third international conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019. Revised selected papers. Part I. Cham: Springer (ISBN 978-3-030-39080-8/pbk; 978-3-030-39081-5/ebook). Lecture Notes in Computer Science 11973, 27-34 (2020). MSC: 65 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., Lect. Notes Comput. Sci. 11973, 27--34 (2020; Zbl 07249914) Full Text: DOI
Zhang, Wenjing; Ma, Yuewen; Zheng, Jianmin; Allen, William J. Tetrahedral mesh deformation with positional constraints. (English) Zbl 07242742 Comput. Aided Geom. Des. 81, Article ID 101909, 16 p. (2020). MSC: 65D PDF BibTeX XML Cite \textit{W. Zhang} et al., Comput. Aided Geom. Des. 81, Article ID 101909, 16 p. (2020; Zbl 07242742) Full Text: DOI
Cavoretto, R.; De Rossi, A.; Dell’Accio, F.; Di Tommaso, F. An efficient trivariate algorithm for tetrahedral Shepard interpolation. (English) Zbl 07174111 J. Sci. Comput. 82, No. 3, Paper No. 57, 15 p. (2020). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65D05 65D15 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 82, No. 3, Paper No. 57, 15 p. (2020; Zbl 07174111) Full Text: DOI
Barrera, D.; Ibáñez, M. J.; Remogna, S. On the construction of trivariate near-best quasi-interpolants based on \(C^2\) quartic splines on type-6 tetrahedral partitions. (English) Zbl 1354.41002 J. Comput. Appl. Math. 311, 252-261 (2017). MSC: 41A15 PDF BibTeX XML Cite \textit{D. Barrera} et al., J. Comput. Appl. Math. 311, 252--261 (2017; Zbl 1354.41002) Full Text: DOI
Rossi, S.; Abboud, N.; Scovazzi, G. Implicit finite incompressible elastodynamics with linear finite elements: a stabilized method in rate form. (English) Zbl 1439.74464 Comput. Methods Appl. Mech. Eng. 311, 208-249 (2016). MSC: 74S05 65M60 74B20 PDF BibTeX XML Cite \textit{S. Rossi} et al., Comput. Methods Appl. Mech. Eng. 311, 208--249 (2016; Zbl 1439.74464) Full Text: DOI
Scovazzi, Guglielmo; Carnes, Brian; Zeng, Xianyi; Rossi, Simone A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach. (English) Zbl 1352.74434 Int. J. Numer. Methods Eng. 106, No. 10, 799-839 (2016). MSC: 74S05 65M60 74B05 74B20 PDF BibTeX XML Cite \textit{G. Scovazzi} et al., Int. J. Numer. Methods Eng. 106, No. 10, 799--839 (2016; Zbl 1352.74434) Full Text: DOI
Dagnino, Catterina; Lamberti, Paola; Remogna, Sara Near-best \(C^2\) quartic spline quasi-interpolants on type-6 tetrahedral partitions of bounded domains. (English) Zbl 1329.65045 Calcolo 52, No. 4, 475-494 (2015). MSC: 65D07 41A15 65D05 PDF BibTeX XML Cite \textit{C. Dagnino} et al., Calcolo 52, No. 4, 475--494 (2015; Zbl 1329.65045) Full Text: DOI arXiv
Muratov, M. V.; Petrov, I. B.; Sannikov, I. V.; Favorskaya, A. V. Grid-characteristic method on unstructured tetrahedral meshes. (Russian, English) Zbl 1313.86016 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 821- 832 (2014); translation in Comput. Math. Math. Phys. 54, No. 5, 837-847 (2014). MSC: 86A15 65M25 68M20 PDF BibTeX XML Cite \textit{M. V. Muratov} et al., Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 821- 832 (2014; Zbl 1313.86016); translation in Comput. Math. Math. Phys. 54, No. 5, 837--847 (2014) Full Text: DOI Link
Petrov, I. B.; Favorskaya, A. V.; Sannikov, A. V.; Kvasov, I. E. Grid-characteristic method using high-order interpolation on tetrahedral hierarchical meshes with a multiple time step. (Russian. English summary) Zbl 06686958 Mat. Model. 25, No. 2, 42-52 (2013). MSC: 86-08 86A15 86A20 PDF BibTeX XML Cite \textit{I. B. Petrov} et al., Mat. Model. 25, No. 2, 42--52 (2013; Zbl 06686958) Full Text: DOI MNR
Mikhaĭlova, Ekaterina Igorevna; Shurina, Èlla Petrovna Mathematical modeling of the high-frequency electromagnetic field in waveguiding structures. (Russian) Zbl 1349.78054 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 13, No. 4, 102-118 (2013). MSC: 78A50 78M10 PDF BibTeX XML Cite \textit{E. I. Mikhaĭlova} and \textit{È. P. Shurina}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 13, No. 4, 102--118 (2013; Zbl 1349.78054) Full Text: MNR
Matt, Michael A. A \(C^r\) trivariate macro-element based on the Worsey-Farin split of a tetrahedron. (English) Zbl 1267.41011 Numer. Math. 123, No. 1, 121-144 (2013). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 41A15 65D05 65D07 65D10 PDF BibTeX XML Cite \textit{M. A. Matt}, Numer. Math. 123, No. 1, 121--144 (2013; Zbl 1267.41011) Full Text: DOI
Dagnino, Catterina; Lamberti, Paola; Remogna, Sara Trivariate quartic splines on type-6 tetrahedral partitions and their applications. (English) Zbl 1329.65046 Commun. Appl. Ind. Math. 3, No. 2, Article ID 443, 9 p. (2012). MSC: 65D07 PDF BibTeX XML Cite \textit{C. Dagnino} et al., Commun. Appl. Ind. Math. 3, No. 2, Article ID 443, 9 p. (2012; Zbl 1329.65046) Full Text: DOI
Tang, Q.; Zhang, G. Y.; Liu, G. R.; Zhong, Z. H.; He, Z. C. A three-dimensional adaptive analysis using the meshfree node-based smoothed point interpolation method (NS-PIM). (English) Zbl 1259.74096 Eng. Anal. Bound. Elem. 35, No. 10, 1123-1135 (2011). MSC: 74S30 PDF BibTeX XML Cite \textit{Q. Tang} et al., Eng. Anal. Bound. Elem. 35, No. 10, 1123--1135 (2011; Zbl 1259.74096) Full Text: DOI
Hecklin, Gero; Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank Local Lagrange interpolation with cubic \(C^{1}\) splines on tetrahedral partitions. (English) Zbl 1208.41005 J. Approx. Theory 160, No. 1-2, 89-102 (2009). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 41A15 41A05 65D05 65D07 PDF BibTeX XML Cite \textit{G. Hecklin} et al., J. Approx. Theory 160, No. 1--2, 89--102 (2009; Zbl 1208.41005) Full Text: DOI
Masud, Arif; Calderer, Ramon A variational multiscale stabilized formulation for the incompressible Navier-Stokes equations. (English) Zbl 1165.76027 Comput. Mech. 44, No. 2, 145-160 (2009). MSC: 76M10 76D05 PDF BibTeX XML Cite \textit{A. Masud} and \textit{R. Calderer}, Comput. Mech. 44, No. 2, 145--160 (2009; Zbl 1165.76027) Full Text: DOI
Kupriyanova, Yu. V. On a theorem in spline theory. (Russian, English) Zbl 1201.65023 Comput. Math. Math. Phys. 48, No. 2, 195-200 (2008); translation from Zh. Vychisl. Mat. Mat. Fiz. 48, No. 2, 206-211 (2008). MSC: 65D07 41A05 41A63 PDF BibTeX XML Cite \textit{Yu. V. Kupriyanova}, Zh. Vychisl. Mat. Mat. Fiz. 48, No. 2, 206--211 (2008; Zbl 1201.65023); translation from Zh. Vychisl. Mat. Mat. Fiz. 48, No. 2, 206--211 (2008) Full Text: DOI Link
Goswami, Samrat; Gillette, Andrew; Bajaj, Chandrajit Efficient Delaunay mesh generation from sampled scalar functions. (English) Zbl 1134.65318 Brewer, Michael L. (ed.) et al., Proceedings of the 16th international meshing roundtable, Seattle, WA, USA, October 14–17, 2007. Berlin: Springer (ISBN 978-3-540-75102-1/hbk). 495-512 (2008). MSC: 65D18 68U05 PDF BibTeX XML Cite \textit{S. Goswami} et al., in: Proceedings of the 16th international meshing roundtable, Seattle, WA, USA, October 14--17, 2007. Berlin: Springer. 495--512 (2008; Zbl 1134.65318)
Sorokina, Tatyana; Zeilfelder, Frank Local quasi-interpolation by cubic \(C^1\) splines on type-6 tetrahedral partitions. (English) Zbl 1116.65011 IMA J. Numer. Anal. 27, No. 1, 74-101 (2007). Reviewer: Aurelian Bejancu (Safat) MSC: 65D07 65D05 65D18 PDF BibTeX XML Cite \textit{T. Sorokina} and \textit{F. Zeilfelder}, IMA J. Numer. Anal. 27, No. 1, 74--101 (2007; Zbl 1116.65011) Full Text: DOI
Gruau, Cyril; Coupez, Thierry 3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric. (English) Zbl 1102.65122 Comput. Methods Appl. Mech. Eng. 194, No. 48-49, 4951-4976 (2005). Reviewer: Michael Jung (Dresden) MSC: 65N50 65N30 65N55 PDF BibTeX XML Cite \textit{C. Gruau} and \textit{T. Coupez}, Comput. Methods Appl. Mech. Eng. 194, No. 48--49, 4951--4976 (2005; Zbl 1102.65122) Full Text: DOI
Ghorai, Saktipada; Tomlin, Alison S.; Berzins, Martin Resolution of pollutant concentrations using a fully 3D adaptive method. (English) Zbl 1026.76034 Chock, David P. (ed.) et al., Atmospheric modeling. IMA workshop at the Univ. of Minnesota, Minneapolis, MN, USA, March 15-19, 2000. New York, NY: Springer. IMA Vol. Math. Appl. 130, 61-79 (2002). MSC: 76M12 86-08 65M06 65M50 86A10 PDF BibTeX XML Cite \textit{S. Ghorai} et al., IMA Vol. Math. Appl. 130, 61--79 (2002; Zbl 1026.76034)
Ženíšek, Alexander; Hoderová-Zlámalová, Jana Semiregular Hermite tetrahedral finite elements. (English) Zbl 1066.65118 Appl. Math., Praha 46, No. 4, 295-315 (2001). Reviewer: Michal Křížek (Praha) MSC: 65N30 65N50 65N12 35J05 PDF BibTeX XML Cite \textit{A. Ženíšek} and \textit{J. Hoderová-Zlámalová}, Appl. Math., Praha 46, No. 4, 295--315 (2001; Zbl 1066.65118) Full Text: DOI EuDML
Radovitzky, R.; Ortiz, M. Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation. (English) Zbl 0980.74080 Comput. Methods Appl. Mech. Eng. 187, No. 3-4, 543-569 (2000). MSC: 74S99 65N50 65M50 PDF BibTeX XML Cite \textit{R. Radovitzky} and \textit{M. Ortiz}, Comput. Methods Appl. Mech. Eng. 187, No. 3--4, 543--569 (2000; Zbl 0980.74080) Full Text: DOI
Ben Salah, Nizar; Soulaimani, Azzeddine; Habashi, Wagdi G.; Fortin, Michel A conservative stabilized finite element method for the magneto-hydrodynamic equations. (English) Zbl 0938.76049 Int. J. Numer. Methods Fluids 29, No. 5, 535-554 (1999). MSC: 76M10 76W05 PDF BibTeX XML Cite \textit{N. Ben Salah} et al., Int. J. Numer. Methods Fluids 29, No. 5, 535--554 (1999; Zbl 0938.76049) Full Text: DOI
Chan, C. T.; Anastasiou, K. An automatic tetrahedral mesh generation scheme by the advancing front method. (English) Zbl 0873.65103 Commun. Numer. Methods Eng. 13, No. 1, 33-46 (1997). Reviewer: M.Plum (Karlsruhe) MSC: 65N50 65M50 PDF BibTeX XML Cite \textit{C. T. Chan} and \textit{K. Anastasiou}, Commun. Numer. Methods Eng. 13, No. 1, 33--46 (1997; Zbl 0873.65103) Full Text: DOI
Nkonga, B.; Guillard, H. Godunov type method on non-structured meshes for three-dimensional moving boundary problems. (English) Zbl 0846.76060 Comput. Methods Appl. Mech. Eng. 113, No. 1-2, 183-204 (1994). MSC: 76M20 76N10 PDF BibTeX XML Cite \textit{B. Nkonga} and \textit{H. Guillard}, Comput. Methods Appl. Mech. Eng. 113, No. 1--2, 183--204 (1994; Zbl 0846.76060) Full Text: DOI
Shenk Al, N. Uniform error estimates for certain narrow Lagrange finite elements. (English) Zbl 0807.65003 Math. Comput. 63, No. 207, 105-119 (1994). Reviewer: G.Hedstrom (Livermore) MSC: 65D07 41A15 65N30 41A63 PDF BibTeX XML Cite \textit{N. Shenk Al}, Math. Comput. 63, No. 207, 105--119 (1994; Zbl 0807.65003) Full Text: DOI
Křížek, Michal On the maximum angle condition for linear tetrahedral elements. (English) Zbl 0755.41003 SIAM J. Numer. Anal. 29, No. 2, 513-520 (1992). MSC: 41A05 65N30 PDF BibTeX XML Cite \textit{M. Křížek}, SIAM J. Numer. Anal. 29, No. 2, 513--520 (1992; Zbl 0755.41003) Full Text: DOI
Lacombe, Claude; Bedard, Claude Face-apex projectors for the interpolation function of a general tetrahedral mid-edge finite element. (English) Zbl 0627.65008 Comput. Methods Appl. Mech. Eng. 68, No. 2, 177-188 (1988). MSC: 65D05 74S05 41A05 41A63 65N30 PDF BibTeX XML Cite \textit{C. Lacombe} and \textit{C. Bedard}, Comput. Methods Appl. Mech. Eng. 68, No. 2, 177--188 (1988; Zbl 0627.65008) Full Text: DOI
Alfeld, Peter A discrete \(C^ 1\) interpolant for tetrahedral data. (English) Zbl 0566.65004 Rocky Mt. J. Math. 14, 5-16 (1984). Reviewer: V.V.Vasil’ev MSC: 65D05 41A05 41A63 PDF BibTeX XML Cite \textit{P. Alfeld}, Rocky Mt. J. Math. 14, 5--16 (1984; Zbl 0566.65004) Full Text: DOI
Alfeld, Peter A trivariate Clough-Tocher scheme for tetrahedral data. (English) Zbl 0566.65003 Comput. Aided Geom. Des. 1, 169-181 (1984). Reviewer: V.V.Vasil’ev MSC: 65D05 41A05 41A63 PDF BibTeX XML Cite \textit{P. Alfeld}, Comput. Aided Geom. Des. 1, 169--181 (1984; Zbl 0566.65003) Full Text: DOI
Barnhill, R. E.; Little, F. F. Three- and four-dimensional surfaces. (English) Zbl 0552.65008 Rocky Mt. J. Math. 14, 77-102 (1984). Reviewer: G.Farin MSC: 65D05 53A05 41A05 41A63 PDF BibTeX XML Cite \textit{R. E. Barnhill} and \textit{F. F. Little}, Rocky Mt. J. Math. 14, 77--102 (1984; Zbl 0552.65008) Full Text: DOI
Pang, Zhiyuan On the basis functions in tetrahedral element with 16 and 20 degrees of freedom. (English) Zbl 0611.65004 Finite element methods, Proc. China-France Symp., Beijing/China 1982, 815-832 (1983). MSC: 65D05 74S05 65N30 41A05 41A63 PDF BibTeX XML
Buneman, Oscar Tetrahedral finite elements for interpolation. (English) Zbl 0476.65006 SIAM J. Sci. Stat. Comput. 1, 223-248 (1980). MSC: 65D05 65N30 41A05 35J05 PDF BibTeX XML Cite \textit{O. Buneman}, SIAM J. Sci. Stat. Comput. 1, 223--248 (1980; Zbl 0476.65006) Full Text: DOI
Andersen, C. M. Evaluation of integrals for a ten-node isoparametric tetrahedral finite element. (English) Zbl 0441.65015 Comput. Math. Appl. 5, 297-320 (1979). MSC: 65D05 65N30 65D32 74S05 41A05 41A63 PDF BibTeX XML Cite \textit{C. M. Andersen}, Comput. Math. Appl. 5, 297--320 (1979; Zbl 0441.65015) Full Text: DOI