Lyche, Tom; Manni, Carla; Speleers, Hendrik A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations. (English) Zbl 07764039 Appl. Math. Comput. 462, Article ID 128330, 27 p. (2024). MSC: 41Axx 65Dxx 65Nxx PDFBibTeX XMLCite \textit{T. Lyche} et al., Appl. Math. Comput. 462, Article ID 128330, 27 p. (2024; Zbl 07764039) Full Text: DOI
Lyche, Tom; Manni, Carla; Speleers, Hendrik Construction of \(C^2\) cubic splines on arbitrary triangulations. (English) Zbl 1522.41004 Found. Comput. Math. 22, No. 5, 1309-1350 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 65D17 65D05 PDFBibTeX XMLCite \textit{T. Lyche} et al., Found. Comput. Math. 22, No. 5, 1309--1350 (2022; Zbl 1522.41004) Full Text: DOI arXiv
Roman, Fabio; Manni, Carla; Speleers, Hendrik Numerical approximation of GB-splines by a convolutional approach. (English) Zbl 1372.65040 Appl. Numer. Math. 116, 273-285 (2017). MSC: 65D07 41A10 PDFBibTeX XMLCite \textit{F. Roman} et al., Appl. Numer. Math. 116, 273--285 (2017; Zbl 1372.65040) Full Text: DOI Link
Roman, Fabio; Manni, Carla; Speleers, Hendrik Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness. (English) Zbl 1361.65049 Numer. Math. 135, No. 1, 169-216 (2017). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 65L10 15A18 15B05 65L60 34B05 PDFBibTeX XMLCite \textit{F. Roman} et al., Numer. Math. 135, No. 1, 169--216 (2017; Zbl 1361.65049) Full Text: DOI Link
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. (English) Zbl 1355.65153 SIAM J. Numer. Anal. 55, No. 1, 31-62 (2017). MSC: 65N30 65N55 65N12 35J25 65F08 PDFBibTeX XMLCite \textit{M. Donatelli} et al., SIAM J. Numer. Anal. 55, No. 1, 31--62 (2017; Zbl 1355.65153) Full Text: DOI Link
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. (English) Zbl 1335.65096 Math. Comput. 85, No. 300, 1639-1680 (2016). MSC: 65N35 35J25 65N12 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Math. Comput. 85, No. 300, 1639--1680 (2016; Zbl 1335.65096) Full Text: DOI
Speleers, Hendrik; Manni, Carla Effortless quasi-interpolation in hierarchical spaces. (English) Zbl 1335.65021 Numer. Math. 132, No. 1, 155-184 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 65D07 41A05 41A15 65D05 PDFBibTeX XMLCite \textit{H. Speleers} and \textit{C. Manni}, Numer. Math. 132, No. 1, 155--184 (2016; Zbl 1335.65021) Full Text: DOI Link
Calabrò, Francesco; Manni, Carla; Pitolli, Francesca Computation of quadrature rules for integration with respect to refinable functions on assigned nodes. (English) Zbl 1326.65032 Appl. Numer. Math. 90, 168-189 (2015). MSC: 65D30 PDFBibTeX XMLCite \textit{F. Calabrò} et al., Appl. Numer. Math. 90, 168--189 (2015; Zbl 1326.65032) Full Text: DOI
Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik On the spectrum of stiffness matrices arising from isogeometric analysis. (English) Zbl 1298.65172 Numer. Math. 127, No. 4, 751-799 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 15A12 15A18 PDFBibTeX XMLCite \textit{C. Garoni} et al., Numer. Math. 127, No. 4, 751--799 (2014; Zbl 1298.65172) Full Text: DOI Link
Speleers, Hendrik; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems. (English) Zbl 1253.65026 Comput. Methods Appl. Mech. Eng. 221-222, 132-148 (2012). MSC: 65D17 65N30 35K57 76M10 PDFBibTeX XMLCite \textit{H. Speleers} et al., Comput. Methods Appl. Mech. Eng. 221--222, 132--148 (2012; Zbl 1253.65026) Full Text: DOI
Lyche, Tom; Manni, Carla; Sablonnière, Paul Quasi-interpolation projectors for box splines. (English) Zbl 1158.65011 J. Comput. Appl. Math. 221, No. 2, 416-429 (2008). Reviewer: Aurelian Bejancu (Safat) MSC: 65D05 65D07 PDFBibTeX XMLCite \textit{T. Lyche} et al., J. Comput. Appl. Math. 221, No. 2, 416--429 (2008; Zbl 1158.65011) Full Text: DOI
Manni, Carla; Sablonnière, Paul Quadratic spline quasi-interpolants on Powell-Sabin partitions. (English) Zbl 1116.65008 Adv. Comput. Math. 26, No. 1-3, 283-304 (2007). Reviewer: Josef Kofroň (Praha) MSC: 65D05 65D07 PDFBibTeX XMLCite \textit{C. Manni} and \textit{P. Sablonnière}, Adv. Comput. Math. 26, No. 1--3, 283--304 (2007; Zbl 1116.65008) Full Text: DOI HAL
Manni, Carla On the dimension of bivariate spline spaces on generalized quasi-cross- cut partitions. (English) Zbl 0756.41018 J. Approximation Theory 69, No. 2, 141-155 (1992). Reviewer: Zhang Ganglu (Dongying) MSC: 41A15 41A65 PDFBibTeX XMLCite \textit{C. Manni}, J. Approx. Theory 69, No. 2, 141--155 (1992; Zbl 0756.41018) Full Text: DOI