Grošelj, Jan; Kapl, Mario; Knez, Marjeta; Takacs, Thomas; Vitrih, Vito \(C^1\)-smooth isogeometric spline functions of general degree over planar mixed meshes: the case of two quadratic mesh elements. (English) Zbl 07748297 Appl. Math. Comput. 460, Article ID 128278, 21 p. (2024). MSC: 65Dxx 65Nxx 74Sxx PDFBibTeX XMLCite \textit{J. Grošelj} et al., Appl. Math. Comput. 460, Article ID 128278, 21 p. (2024; Zbl 07748297) Full Text: DOI arXiv
Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vázquez, Rafael Adaptive isogeometric methods with \(C^1\) (truncated) hierarchical splines on planar multi-patch domains. (English) Zbl 1517.65012 Math. Models Methods Appl. Sci. 33, No. 9, 1829-1874 (2023). MSC: 65D07 65D17 65N30 65N50 PDFBibTeX XMLCite \textit{C. Bracco} et al., Math. Models Methods Appl. Sci. 33, No. 9, 1829--1874 (2023; Zbl 1517.65012) Full Text: DOI arXiv
Farahat, Andrea; Jüttler, Bert; Kapl, Mario; Takacs, Thomas Isogeometric analysis with \(C^1\)-smooth functions over multi-patch surfaces. (English) Zbl 07644173 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115706, 30 p. (2023). MSC: 65D07 65D17 65N30 PDFBibTeX XMLCite \textit{A. Farahat} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115706, 30 p. (2023; Zbl 07644173) Full Text: DOI
Peters, Jörg; Karčiauskas, Kȩstutis Subdivision and G-spline hybrid constructions for high-quality geometric and analysis-suitable surfaces. (English) Zbl 1497.65041 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, 171-189 (2022). MSC: 65D17 41A15 65D07 68U05 PDFBibTeX XMLCite \textit{J. Peters} and \textit{K. Karčiauskas}, Springer INdAM Ser. 49, 171--189 (2022; Zbl 1497.65041) Full Text: DOI
Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas A family of \(C^1\) quadrilateral finite elements. (English) Zbl 1480.65339 Adv. Comput. Math. 47, No. 6, Paper No. 82, 38 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65D07 31A30 PDFBibTeX XMLCite \textit{M. Kapl} et al., Adv. Comput. Math. 47, No. 6, Paper No. 82, 38 p. (2021; Zbl 1480.65339) Full Text: DOI arXiv
Hughes, Thomas J. R.; Sangalli, Giancarlo; Takacs, Thomas; Toshniwal, Deepesh Smooth multi-patch discretizations in isogeometric analysis. (English) Zbl 1473.65302 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part 2. Amsterdam: Elsevier/North Holland. Handbook of Numerical Analysis 22, 467-543 (2021). MSC: 65N30 65D07 65N12 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Handb. Numer. Anal. 22, 467--543 (2021; Zbl 1473.65302) Full Text: DOI
Kapl, Mario; Vitrih, Vito \(C^s\)-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations. (English) Zbl 07379107 Adv. Comput. Math. 47, No. 3, Paper No. 47, 34 p. (2021). MSC: 65D07 65D17 65N30 PDFBibTeX XMLCite \textit{M. Kapl} and \textit{V. Vitrih}, Adv. Comput. Math. 47, No. 3, Paper No. 47, 34 p. (2021; Zbl 07379107) Full Text: DOI arXiv
Karčiauskas, Kȩstutis; Peters, Jörg Multi-sided completion of \(C^2\) bi-3 and \(C^1\) bi-2 splines: a unifying approach. (English) Zbl 1468.65012 Comput. Aided Geom. Des. 86, Article ID 101978, 15 p. (2021). MSC: 65D07 PDFBibTeX XMLCite \textit{K. Karčiauskas} and \textit{J. Peters}, Comput. Aided Geom. Des. 86, Article ID 101978, 15 p. (2021; Zbl 1468.65012) Full Text: DOI
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang Geometrically smooth spline bases for data fitting and simulation. (English) Zbl 1472.65015 Comput. Aided Geom. Des. 78, Article ID 101814, 15 p. (2020). Reviewer: Nelly Villamizar (Swansea) MSC: 65D07 65D15 65D17 PDFBibTeX XMLCite \textit{A. Blidia} et al., Comput. Aided Geom. Des. 78, Article ID 101814, 15 p. (2020; Zbl 1472.65015) Full Text: DOI HAL
Peters, Jörg Splines for meshes with irregularities. (English) Zbl 1437.65215 SMAI J. Comput. Math. S5, 161-183 (2019). MSC: 65N35 15A15 65D07 PDFBibTeX XMLCite \textit{J. Peters}, SMAI J. Comput. Math. S5, 161--183 (2019; Zbl 1437.65215) Full Text: DOI
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
Birner, Katharina; Kapl, Mario The space of \(C^1\)-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains. (English) Zbl 1465.65012 Comput. Aided Geom. Des. 70, 16-30 (2019). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{K. Birner} and \textit{M. Kapl}, Comput. Aided Geom. Des. 70, 16--30 (2019; Zbl 1465.65012) Full Text: DOI
Karčiauskas, Kȩstutis; Peters, Jörg Fair free-form surfaces that are almost everywhere parametrically \(C^2\). (English) Zbl 1462.65026 J. Comput. Appl. Math. 349, 470-481 (2019). MSC: 65D18 PDFBibTeX XMLCite \textit{K. Karčiauskas} and \textit{J. Peters}, J. Comput. Appl. Math. 349, 470--481 (2019; Zbl 1462.65026) Full Text: DOI
Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A. Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. (English) Zbl 1439.65200 Comput. Methods Appl. Mech. Eng. 328, 175-200 (2018). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{G. Xu} et al., Comput. Methods Appl. Mech. Eng. 328, 175--200 (2018; Zbl 1439.65200) Full Text: DOI arXiv
Kapl, Mario; Vitrih, Vito Dimension and basis construction for \(C^2\)-smooth isogeometric spline spaces over bilinear-like \(G^2\) two-patch parameterizations. (English) Zbl 1386.65084 J. Comput. Appl. Math. 335, 289-311 (2018). MSC: 65D17 65N30 68U07 PDFBibTeX XMLCite \textit{M. Kapl} and \textit{V. Vitrih}, J. Comput. Appl. Math. 335, 289--311 (2018; Zbl 1386.65084) Full Text: DOI arXiv