Giannelli, Carlotta; Kanduč, Tadej; Martinelli, Massimiliano; Sangalli, Giancarlo; Tani, Mattia Weighted quadrature for hierarchical B-splines. (English) Zbl 1507.74471 Comput. Methods Appl. Mech. Eng. 400, Article ID 115465, 24 p. (2022). MSC: 74S05 65D07 65N30 74S22 PDFBibTeX XMLCite \textit{C. Giannelli} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115465, 24 p. (2022; Zbl 1507.74471) Full Text: DOI arXiv
Loli, Gabriele; Sangalli, Giancarlo; Tani, Mattia Easy and efficient preconditioning of the isogeometric mass matrix. (English) Zbl 1524.65841 Comput. Math. Appl. 116, 245-264 (2022). MSC: 65N30 65D07 41A15 65M60 74S05 65F08 65F10 65M06 65F35 65N50 49M41 65M55 PDFBibTeX XMLCite \textit{G. Loli} et al., Comput. Math. Appl. 116, 245--264 (2022; Zbl 1524.65841) Full Text: DOI arXiv
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas Isogeometric analysis with \(C^1\) functions on planar, unstructured quadrilateral meshes. (English) Zbl 1437.65194 SMAI J. Comput. Math. S5, 67-86 (2019). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{M. Kapl} et al., SMAI J. Comput. Math. S5, 67--86 (2019; Zbl 1437.65194) Full Text: DOI arXiv
Hiemstra, René R.; Sangalli, Giancarlo; Tani, Mattia; Calabrò, Francesco; Hughes, Thomas J. R. Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity. (English) Zbl 1441.74244 Comput. Methods Appl. Mech. Eng. 355, 234-260 (2019). MSC: 74S05 74B05 65D17 65N30 PDFBibTeX XMLCite \textit{R. R. Hiemstra} et al., Comput. Methods Appl. Mech. Eng. 355, 234--260 (2019; Zbl 1441.74244) Full Text: DOI
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas An isogeometric \(C^{1}\) subspace on unstructured multi-patch planar domains. (English) Zbl 1470.65016 Comput. Aided Geom. Des. 69, 55-75 (2019). Reviewer: Nelly Villamizar (Swansea) MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{M. Kapl} et al., Comput. Aided Geom. Des. 69, 55--75 (2019; Zbl 1470.65016) Full Text: DOI arXiv
Sangalli, G.; Tani, M. Matrix-free weighted quadrature for a computationally efficient isogeometric \(k\)-method. (English) Zbl 1440.65230 Comput. Methods Appl. Mech. Eng. 338, 117-133 (2018). MSC: 65N30 65D07 65N22 PDFBibTeX XMLCite \textit{G. Sangalli} and \textit{M. Tani}, Comput. Methods Appl. Mech. Eng. 338, 117--133 (2018; Zbl 1440.65230) Full Text: DOI arXiv
Montardini, M.; Sangalli, G.; Tamellini, L. Optimal-order isogeometric collocation at Galerkin superconvergent points. (English) Zbl 1439.65187 Comput. Methods Appl. Mech. Eng. 316, 741-757 (2017). MSC: 65N30 65D07 65N12 65N35 PDFBibTeX XMLCite \textit{M. Montardini} et al., Comput. Methods Appl. Mech. Eng. 316, 741--757 (2017; Zbl 1439.65187) Full Text: DOI arXiv
Calabrò, F.; Sangalli, G.; Tani, M. Fast formation of isogeometric Galerkin matrices by weighted quadrature. (English) Zbl 1439.65012 Comput. Methods Appl. Mech. Eng. 316, 606-622 (2017). MSC: 65D07 65D30 65N30 PDFBibTeX XMLCite \textit{F. Calabrò} et al., Comput. Methods Appl. Mech. Eng. 316, 606--622 (2017; Zbl 1439.65012) Full Text: DOI arXiv
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas Dimension and basis construction for analysis-suitable \(G^1\) two-patch parameterizations. (English) Zbl 1366.65106 Comput. Aided Geom. Des. 52-53, 75-89 (2017). MSC: 65N30 35J40 65D07 65N12 PDFBibTeX XMLCite \textit{M. Kapl} et al., Comput. Aided Geom. Des. 52--53, 75--89 (2017; Zbl 1366.65106) Full Text: DOI arXiv
Antolin, P.; Buffa, A.; Calabrò, F.; Martinelli, M.; Sangalli, G. Efficient matrix computation for tensor-product isogeometric analysis: the use of sum factorization. (English) Zbl 1425.65143 Comput. Methods Appl. Mech. Eng. 285, 817-828 (2015). MSC: 65N30 65D17 65D30 PDFBibTeX XMLCite \textit{P. Antolin} et al., Comput. Methods Appl. Mech. Eng. 285, 817--828 (2015; Zbl 1425.65143) Full Text: DOI arXiv
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. Mathematical analysis of variational isogeometric methods. (English) Zbl 1398.65287 Acta Numerica 23, 157-287 (2014). MSC: 65N30 65D07 65D17 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Acta Numerica 23, 157--287 (2014; Zbl 1398.65287) Full Text: DOI
Gomez, Hector; Reali, Alessandro; Sangalli, Giancarlo Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models. (English) Zbl 1349.82084 J. Comput. Phys. 262, 153-171 (2014). MSC: 82C80 65M70 76M22 76Txx 82C26 PDFBibTeX XMLCite \textit{H. Gomez} et al., J. Comput. Phys. 262, 153--171 (2014; Zbl 1349.82084) Full Text: DOI
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R. Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties. (English) Zbl 1270.65009 Math. Models Methods Appl. Sci. 23, No. 11, 1979-2003 (2013). MSC: 65D17 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 23, No. 11, 1979--2003 (2013; Zbl 1270.65009) Full Text: DOI
Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. Analysis-suitable T-splines are dual-compatible. (English) Zbl 1348.65048 Comput. Methods Appl. Mech. Eng. 249-252, 42-51 (2012). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Methods Appl. Mech. Eng. 249--252, 42--51 (2012; Zbl 1348.65048) Full Text: DOI
Auricchio, F.; Calabrò, F.; Hughes, T. J. R.; Reali, A.; Sangalli, G. A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis. (English) Zbl 1348.65059 Comput. Methods Appl. Mech. Eng. 249-252, 15-27 (2012). MSC: 65D30 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Comput. Methods Appl. Mech. Eng. 249--252, 15--27 (2012; Zbl 1348.65059) Full Text: DOI
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. Isogeometric collocation for elastostatics and explicit dynamics. (English) Zbl 1348.74305 Comput. Methods Appl. Mech. Eng. 249-252, 2-14 (2012). MSC: 74S05 74B05 65N30 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Comput. Methods Appl. Mech. Eng. 249--252, 2--14 (2012; Zbl 1348.74305) Full Text: DOI
Beirão da Veiga, Lourenço; Buffa, Annalisa; Lovadina, Carlo; Martinelli, Massimiliano; Sangalli, Giancarlo An isogeometric method for the Reissner-Mindlin plate bending problem. (English) Zbl 1243.74101 Comput. Methods Appl. Mech. Eng. 209-212, 45-53 (2012). MSC: 74K20 65N30 74G60 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Methods Appl. Mech. Eng. 209--212, 45--53 (2012; Zbl 1243.74101) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Cho, Durkbin; Sangalli, Giancarlo Anisotropic NURBS approximation in isogeometric analysis. (English) Zbl 1243.65027 Comput. Methods Appl. Mech. Eng. 209-212, 1-11 (2012). MSC: 65D17 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Methods Appl. Mech. Eng. 209--212, 1--11 (2012; Zbl 1243.65027) Full Text: DOI
Beirão da Veiga, L.; Buffa, A.; Cho, D.; Sangalli, G. Isogeometric analysis using T-splines on two-patch geometries. (English) Zbl 1228.65229 Comput. Methods Appl. Mech. Eng. 200, No. 21-22, 1787-1803 (2011). MSC: 65N50 65D17 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Methods Appl. Mech. Eng. 200, No. 21--22, 1787--1803 (2011; Zbl 1228.65229) Full Text: DOI
Beirão da Veiga, L.; Buffa, A.; Rivas, J.; Sangalli, G. Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis. (English) Zbl 1222.41010 Numer. Math. 118, No. 2, 271-305 (2011). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Numer. Math. 118, No. 2, 271--305 (2011; Zbl 1222.41010) Full Text: DOI
Buffa, A.; De Falco, C.; Sangalli, G. IsoGeometric analysis: Stable elements for the 2D Stokes equation. (English) Zbl 1429.76044 Int. J. Numer. Methods Fluids 65, No. 11-12, 1407-1422 (2011). MSC: 76D07 76M10 65M12 PDFBibTeX XMLCite \textit{A. Buffa} et al., Int. J. Numer. Methods Fluids 65, No. 11--12, 1407--1422 (2011; Zbl 1429.76044) Full Text: DOI
Buffa, A.; Cho, D.; Sangalli, G. Linear independence of the T-spline blending functions associated with some particular T-meshes. (English) Zbl 1231.65027 Comput. Methods Appl. Mech. Eng. 199, No. 23-24, 1437-1445 (2010). MSC: 65D07 65N50 65M50 PDFBibTeX XMLCite \textit{A. Buffa} et al., Comput. Methods Appl. Mech. Eng. 199, No. 23--24, 1437--1445 (2010; Zbl 1231.65027) Full Text: DOI
Hughes, T. J. R.; Reali, A.; Sangalli, G. Efficient quadrature for NURBS-based isogeometric analysis. (English) Zbl 1227.65029 Comput. Methods Appl. Mech. Eng. 199, No. 5-8, 301-313 (2010). MSC: 65D32 65D07 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Comput. Methods Appl. Mech. Eng. 199, No. 5--8, 301--313 (2010; Zbl 1227.65029) Full Text: DOI
Buffa, A.; Sangalli, G.; Vázquez, R. Isogeometric analysis in electromagnetics: B-splines approximation. (English) Zbl 1227.78026 Comput. Methods Appl. Mech. Eng. 199, No. 17-20, 1143-1152 (2010). MSC: 78M25 78A25 PDFBibTeX XMLCite \textit{A. Buffa} et al., Comput. Methods Appl. Mech. Eng. 199, No. 17--20, 1143--1152 (2010; Zbl 1227.78026) Full Text: DOI
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. Isogeometric collocation methods. (English) Zbl 1226.65091 Math. Models Methods Appl. Sci. 20, No. 11, 2075-2107 (2010). Reviewer: Ioana Tascu (Baia Mare) MSC: 65N30 65N35 65D07 65L60 35J25 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Math. Models Methods Appl. Sci. 20, No. 11, 2075--2107 (2010; Zbl 1226.65091) Full Text: DOI
Auricchio, F.; Beirão da Veiga, L.; Buffa, A.; Lovadina, C.; Reali, A.; Sangalli, G. A fully “locking-free” isogeometric approach for plane linear elasticity problems: a stream function formulation. (English) Zbl 1169.74643 Comput. Methods Appl. Mech. Eng. 197, No. 1-4, 160-172 (2007). MSC: 74S30 74B05 65D07 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Comput. Methods Appl. Mech. Eng. 197, No. 1--4, 160--172 (2007; Zbl 1169.74643) Full Text: DOI
Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G. Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. (English) Zbl 1103.65113 Math. Models Methods Appl. Sci. 16, No. 7, 1031-1090 (2006). MSC: 65N30 65D07 35J25 65N15 74B05 74S05 76D07 76M10 PDFBibTeX XMLCite \textit{Y. Bazilevs} et al., Math. Models Methods Appl. Sci. 16, No. 7, 1031--1090 (2006; Zbl 1103.65113) Full Text: DOI