Amat, Sergio; Levin, David; Ruiz-Álvarez, Juan; Yáñez, Dionisio F. A new B-spline type approximation method for non-smooth functions. (English) Zbl 07701311 Appl. Math. Lett. 141, Article ID 108628, 8 p. (2023). MSC: 65-XX 41A15 41A05 65D07 65D05 41-02 PDFBibTeX XMLCite \textit{S. Amat} et al., Appl. Math. Lett. 141, Article ID 108628, 8 p. (2023; Zbl 07701311) Full Text: DOI
Amat, Sergio; Levin, David; Ruiz-Álvarez, Juan; Yáñez, Dionisio F. Explicit multivariate approximations from cell-average data. (English) Zbl 1528.41019 Adv. Comput. Math. 48, No. 6, Paper No. 85, 31 p. (2022). MSC: 41A15 41A10 PDFBibTeX XMLCite \textit{S. Amat} et al., Adv. Comput. Math. 48, No. 6, Paper No. 85, 31 p. (2022; Zbl 1528.41019) Full Text: DOI arXiv
Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Imperatore, Sofia; Mokriš, Dominik; Sestini, Alessandra THB-spline approximations for turbine blade design with local B-spline approximations. (English) Zbl 1507.65041 Barrera, Domingo (ed.) et al., Mathematical and computational methods for modelling, approximation and simulation. Selected papers based on the presentations at the lectures presented at the international conference, MACMAS 2019, Granada, Spain, September 9–11, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 29, 63-82 (2022). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{C. Bracco} et al., SEMA SIMAI Springer Ser. 29, 63--82 (2022; Zbl 1507.65041) Full Text: DOI arXiv
Hemelmayr, Nora; Jüttler, Bert DPB-splines: the decoupled basis of patchwork splines. (English) Zbl 1497.65024 Manni, Carla (ed.) et al., Geometric challenges in isogeometric analysis. Selected papers based on the presentations at the workshop, Rome, Italy, January 27–31, 2020. Cham: Springer. Springer INdAM Ser. 49, 49-83 (2022). MSC: 65D07 41A15 65D17 PDFBibTeX XMLCite \textit{N. Hemelmayr} and \textit{B. Jüttler}, Springer INdAM Ser. 49, 49--83 (2022; Zbl 1497.65024) Full Text: DOI
Dagnino, Catterina; Lamberti, Paola; Remogna, Sara On spline quasi-interpolation through dimensions. (English) Zbl 1500.65004 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 397-415 (2022). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{C. Dagnino} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 397--415 (2022; Zbl 1500.65004) Full Text: DOI
Kang, Hongmei; Yong, Zhiguo; Li, Xin Quasi-interpolation for analysis-suitable T-splines. (English) Zbl 1501.65007 Comput. Aided Geom. Des. 98, Article ID 102147, 12 p. (2022). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{H. Kang} et al., Comput. Aided Geom. Des. 98, Article ID 102147, 12 p. (2022; Zbl 1501.65007) Full Text: DOI
Giust, Alessandro; Jüttler, Bert Weighted isogeometric collocation based on spline projectors. (English) Zbl 1507.65258 Comput. Methods Appl. Mech. Eng. 391, Article ID 114554, 22 p. (2022). MSC: 65N35 65D07 PDFBibTeX XMLCite \textit{A. Giust} and \textit{B. Jüttler}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114554, 22 p. (2022; Zbl 1507.65258) Full Text: DOI
Pan, Maodong; Jüttler, Bert; Scholz, Felix Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension. (English) Zbl 1507.65044 Comput. Methods Appl. Mech. Eng. 388, Article ID 114210, 26 p. (2022). MSC: 65D07 65D05 65Y20 PDFBibTeX XMLCite \textit{M. Pan} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114210, 26 p. (2022; Zbl 1507.65044) Full Text: DOI
Bressan, Andrea; Lyche, Tom Local approximation from spline spaces on box meshes. (English) Zbl 1469.41001 Found. Comput. Math. 21, No. 3, 807-848 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 41A63 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{T. Lyche}, Found. Comput. Math. 21, No. 3, 807--848 (2021; Zbl 1469.41001) Full Text: DOI Link
Pan, Maodong; Jüttler, Bert; Mantzaflaris, Angelos Efficient matrix assembly in isogeometric analysis with hierarchical B-splines. (English) Zbl 1458.65153 J. Comput. Appl. Math. 390, Article ID 113278, 20 p. (2021). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N30 65D07 65D05 65D30 35J05 65N50 65N15 PDFBibTeX XMLCite \textit{M. Pan} et al., J. Comput. Appl. Math. 390, Article ID 113278, 20 p. (2021; Zbl 1458.65153) Full Text: DOI HAL
Patrizi, Francesco; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik Adaptive refinement with locally linearly independent LR B-splines: theory and applications. (English) Zbl 1506.65041 Comput. Methods Appl. Mech. Eng. 369, Article ID 113230, 19 p. (2020). MSC: 65D17 65D07 PDFBibTeX XMLCite \textit{F. Patrizi} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113230, 19 p. (2020; Zbl 1506.65041) Full Text: DOI arXiv
Giust, Alessandro; Jüttler, Bert; Mantzaflaris, Angelos Local (T)HB-spline projectors via restricted hierarchical spline fitting. (English) Zbl 1506.65028 Comput. Aided Geom. Des. 80, Article ID 101865, 18 p. (2020). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{A. Giust} et al., Comput. Aided Geom. Des. 80, Article ID 101865, 18 p. (2020; Zbl 1506.65028) Full Text: DOI HAL
Ni, Qian; Wang, Xuhui; Deng, Jiansong Modified basis functions for MPHT-splines. (English) Zbl 1503.65030 J. Comput. Appl. Math. 375, Article ID 112817, 15 p. (2020). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{Q. Ni} et al., J. Comput. Appl. Math. 375, Article ID 112817, 15 p. (2020; Zbl 1503.65030) Full Text: DOI
Ni, Qian; Wang, Xuhui; Deng, Jiansong Modified PHT-splines. (English) Zbl 1505.65032 Comput. Aided Geom. Des. 73, 37-53 (2019). MSC: 65D07 41A15 65D17 PDFBibTeX XMLCite \textit{Q. Ni} et al., Comput. Aided Geom. Des. 73, 37--53 (2019; Zbl 1505.65032) Full Text: DOI arXiv
Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R. Improved conditioning of isogeometric analysis matrices for trimmed geometries. (English) Zbl 1440.74426 Comput. Methods Appl. Mech. Eng. 334, 79-110 (2018). MSC: 74S05 65N30 65D07 74B05 PDFBibTeX XMLCite \textit{B. Marussig} et al., Comput. Methods Appl. Mech. Eng. 334, 79--110 (2018; Zbl 1440.74426) Full Text: DOI
Anitescu, Cosmin; Hossain, Md Naim; Rabczuk, Timon Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes. (English) Zbl 1439.65011 Comput. Methods Appl. Mech. Eng. 328, 638-662 (2018). MSC: 65D07 65N30 PDFBibTeX XMLCite \textit{C. Anitescu} et al., Comput. Methods Appl. Mech. Eng. 328, 638--662 (2018; Zbl 1439.65011) Full Text: DOI
Buffa, Annalisa; Garau, Eduardo M. A posteriori error estimators for hierarchical B-spline discretizations. (English) Zbl 1398.65291 Math. Models Methods Appl. Sci. 28, No. 8, 1453-1480 (2018). MSC: 65N30 65D07 65N50 65N12 65N15 41A25 PDFBibTeX XMLCite \textit{A. Buffa} and \textit{E. M. Garau}, Math. Models Methods Appl. Sci. 28, No. 8, 1453--1480 (2018; Zbl 1398.65291) Full Text: DOI arXiv
Bracco, Cesare; Giannelli, Carlotta; Großmann, David; Sestini, Alessandra Adaptive fitting with THB-splines: error analysis and industrial applications. (English) Zbl 1505.65022 Comput. Aided Geom. Des. 62, 239-252 (2018). MSC: 65D07 41A15 65D17 PDFBibTeX XMLCite \textit{C. Bracco} et al., Comput. Aided Geom. Des. 62, 239--252 (2018; Zbl 1505.65022) Full Text: DOI
Bracco, Cesare; Giannelli, Carlotta; Sestini, Alessandra Adaptive scattered data fitting by extension of local approximations to hierarchical splines. (English) Zbl 1366.65014 Comput. Aided Geom. Des. 52-53, 90-105 (2017). MSC: 65D10 65D07 65F20 PDFBibTeX XMLCite \textit{C. Bracco} et al., Comput. Aided Geom. Des. 52--53, 90--105 (2017; Zbl 1366.65014) Full Text: DOI arXiv