Bartoň, Michael; Puzyrev, Vladimir; Deng, Quanling; Calo, Victor Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines. (English) Zbl 1493.65054 J. Comput. Appl. Math. 371, Article ID 112626, 11 p. (2020). MSC: 65D32 65D07 41A55 PDFBibTeX XMLCite \textit{M. Bartoň} et al., J. Comput. Appl. Math. 371, Article ID 112626, 11 p. (2020; Zbl 1493.65054) Full Text: DOI arXiv
Deng, Quanling; Bartoň, Michael; Puzyrev, Vladimir; Calo, Victor Dispersion-minimizing quadrature rules for \(C^1\) quadratic isogeometric analysis. (English) Zbl 1439.74406 Comput. Methods Appl. Mech. Eng. 328, 554-564 (2018). MSC: 74S05 65N30 65D07 74H45 PDFBibTeX XMLCite \textit{Q. Deng} et al., Comput. Methods Appl. Mech. Eng. 328, 554--564 (2018; Zbl 1439.74406) Full Text: DOI arXiv
Bartoň, Michael; Calo, Victor; Deng, Quanling; Puzyrev, Vladimir Generalization of the Pythagorean eigenvalue error theorem and its application to isogeometric analysis. (English) Zbl 1416.65423 Di Pietro, Daniele Antonio (ed.) et al., Numerical methods for PDEs. State of the art techniques. Cham: Springer. SEMA SIMAI Springer Ser. 15, 147-170 (2018). MSC: 65N25 65D32 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{M. Bartoň} et al., SEMA SIMAI Springer Ser. 15, 147--170 (2018; Zbl 1416.65423) Full Text: DOI Link
Bartoň, Michael; Ait-Haddou, Rachid; Calo, Victor Manuel Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors. (English) Zbl 1365.65061 J. Comput. Appl. Math. 322, 57-70 (2017). MSC: 65D32 41A55 65D07 PDFBibTeX XMLCite \textit{M. Bartoň} et al., J. Comput. Appl. Math. 322, 57--70 (2017; Zbl 1365.65061) Full Text: DOI
Bartoň, Michael; Calo, Victor Manuel Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis. (English) Zbl 1425.65039 Comput. Methods Appl. Mech. Eng. 305, 217-240 (2016). MSC: 65D30 65D17 PDFBibTeX XMLCite \textit{M. Bartoň} and \textit{V. M. Calo}, Comput. Methods Appl. Mech. Eng. 305, 217--240 (2016; Zbl 1425.65039) Full Text: DOI Link
Bartoň, Michael; Calo, Victor Manuel Gaussian quadrature for splines via homotopy continuation: rules for \(C^2\) cubic splines. (English) Zbl 1342.65097 J. Comput. Appl. Math. 296, 709-723 (2016). MSC: 65D30 65D07 PDFBibTeX XMLCite \textit{M. Bartoň} and \textit{V. M. Calo}, J. Comput. Appl. Math. 296, 709--723 (2016; Zbl 1342.65097) Full Text: DOI arXiv
Bartoň, Michael; Calo, Victor Manuel Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis. arXiv:1602.01200 Preprint, arXiv:1602.01200 [math.NA] (2016). BibTeX Cite \textit{M. Bartoň} and \textit{V. M. Calo}, ``Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis'', Preprint, arXiv:1602.01200 [math.NA] (2016) Full Text: arXiv OA License
Ait-Haddou, Rachid; Bartoň, Michael; Calo, Victor Manuel Explicit Gaussian quadrature rules for \(C^1\) cubic splines with symmetrically stretched knot sequences. (English) Zbl 1321.65037 J. Comput. Appl. Math. 290, 543-552 (2015). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{R. Ait-Haddou} et al., J. Comput. Appl. Math. 290, 543--552 (2015; Zbl 1321.65037) Full Text: DOI arXiv
Barton, Michael; Calo, Victor Optimal quadrature rules for isogeometric analysis. arXiv:1511.03882 Preprint, arXiv:1511.03882 [math.NA] (2015). BibTeX Cite \textit{M. Barton} and \textit{V. Calo}, ``Optimal quadrature rules for isogeometric analysis'', Preprint, arXiv:1511.03882 [math.NA] (2015) Full Text: arXiv OA License
Bartoň, Michael; Ait-Haddou, Rachid; Calo, Victor Manuel Gaussian quadrature rules for \(C^1\) quintic splines. arXiv:1503.00907 Preprint, arXiv:1503.00907 [math.NA] (2015). BibTeX Cite \textit{M. Bartoň} et al., ``Gaussian quadrature rules for $C^1$ quintic splines'', Preprint, arXiv:1503.00907 [math.NA] (2015) Full Text: arXiv OA License
Bartoň, Michael; Kosinka, Jiří; Calo, Victor M. Strain-minimising Stream Surfaces. arXiv:1411.1369 Preprint, arXiv:1411.1369 [math.DG] (2014). BibTeX Cite \textit{M. Bartoň} et al., ``Strain-minimising Stream Surfaces'', Preprint, arXiv:1411.1369 [math.DG] (2014) Full Text: arXiv OA License