Groiss, Lisa; Jüttler, Bert; Pan, Maodong Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes. (English) Zbl 1516.65007 Comput. Aided Geom. Des. 103, Article ID 102190, 16 p. (2023). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{L. Groiss} et al., Comput. Aided Geom. Des. 103, Article ID 102190, 16 p. (2023; Zbl 1516.65007) Full Text: DOI
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
Heydarov, Teymur; Buffa, Annalisa; Jüttler, Bert An unrefinement algorithm for planar THB-spline parameterizations. (English) Zbl 1504.65029 Comput. Aided Geom. Des. 99, Article ID 102157, 16 p. (2022). MSC: 65D07 65D17 65D18 PDFBibTeX XMLCite \textit{T. Heydarov} et al., Comput. Aided Geom. Des. 99, Article ID 102157, 16 p. (2022; Zbl 1504.65029) 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
Seiler, Agnes; Jüttler, Bert Approximately \(\mathcal{C}^1\) -smooth isogeometric functions on two-patch domains. (English) Zbl 1493.65229 van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 157-175 (2021). MSC: 65N30 65D07 65D17 41A15 PDFBibTeX XMLCite \textit{A. Seiler} and \textit{B. Jüttler}, Lect. Notes Comput. Sci. Eng. 133, 157--175 (2021; Zbl 1493.65229) Full Text: DOI
Birner, Katharina; Jüttler, Bert; Mantzaflaris, Angelos Approximation power of \(C^1\)-smooth isogeometric splines on volumetric two-patch domains. (English) Zbl 1478.65134 van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 27-38 (2021). MSC: 65N35 65D07 65D17 41A15 PDFBibTeX XMLCite \textit{K. Birner} et al., Lect. Notes Comput. Sci. Eng. 133, 27--38 (2021; Zbl 1478.65134) Full Text: DOI
Scholz, Felix; Jüttler, Bert Using high-order transport theorems for implicitly defined moving curves to perform quadrature on planar domains. (English) Zbl 1477.65243 SIAM J. Numer. Anal. 59, No. 4, 2138-2162 (2021). MSC: 65N30 65N85 53A04 65D30 35R37 PDFBibTeX XMLCite \textit{F. Scholz} and \textit{B. Jüttler}, SIAM J. Numer. Anal. 59, No. 4, 2138--2162 (2021; Zbl 1477.65243) Full Text: DOI
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
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
Pan, Maodong; Jüttler, Bert; Giust, Alessandro Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up. (English) Zbl 1442.65392 Comput. Methods Appl. Mech. Eng. 366, Article ID 113005, 24 p. (2020). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{M. Pan} et al., Comput. Methods Appl. Mech. Eng. 366, Article ID 113005, 24 p. (2020; Zbl 1442.65392) Full Text: DOI
Masson, Yannick; Jüttler, Bert Bivariate Hermite interpolation by a limiting case of the cross approximation algorithm. (English) Zbl 07183949 J. Comput. Appl. Math. 375, Article ID 112634, 18 p. (2020). MSC: 65-XX 41A63 65F55 41A50 65D07 65F05 PDFBibTeX XMLCite \textit{Y. Masson} and \textit{B. Jüttler}, J. Comput. Appl. Math. 375, Article ID 112634, 18 p. (2020; Zbl 07183949) Full Text: DOI
Dyn, Nira; Jüttler, Bert; Mokriš, Dominik On the error in transfinite interpolation by low-rank functions. (English) Zbl 1486.65015 J. Approx. Theory 253, Article ID 105379, 7 p. (2020). Reviewer: Antonio López-Carmona (Granada) MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{N. Dyn} et al., J. Approx. Theory 253, Article ID 105379, 7 p. (2020; Zbl 1486.65015) Full Text: DOI
Scholz, Felix; Jüttler, Bert Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces. (English) Zbl 1442.65025 Comput. Methods Appl. Mech. Eng. 357, Article ID 112577, 20 p. (2019). MSC: 65D30 PDFBibTeX XMLCite \textit{F. Scholz} and \textit{B. Jüttler}, Comput. Methods Appl. Mech. Eng. 357, Article ID 112577, 20 p. (2019; Zbl 1442.65025) Full Text: DOI
Kargaran, S.; Jüttler, B.; Kleiss, S. K.; Mantzaflaris, A.; Takacs, T. Overlapping multi-patch structures in isogeometric analysis. (English) Zbl 1441.65105 Comput. Methods Appl. Mech. Eng. 356, 325-353 (2019). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{S. Kargaran} et al., Comput. Methods Appl. Mech. Eng. 356, 325--353 (2019; Zbl 1441.65105) Full Text: DOI HAL
Xia, Yang; Mantzaflaris, Angelos; Jüttler, Bert; Pan, Hao; Hu, Ping; Wang, Wenping Design of self-supporting surfaces with isogeometric analysis. (English) Zbl 1441.74120 Comput. Methods Appl. Mech. Eng. 353, 328-347 (2019). MSC: 74K25 65D07 74S05 65N30 PDFBibTeX XMLCite \textit{Y. Xia} et al., Comput. Methods Appl. Mech. Eng. 353, 328--347 (2019; Zbl 1441.74120) Full Text: DOI HAL
Jüttler, Bert; Maroscheck, Sofia; Kim, Myung-Soo; Hong, Q. Youn Arc fibrations of planar domains. (English) Zbl 1505.65065 Comput. Aided Geom. Des. 71, 105-118 (2019). MSC: 65D17 65N30 74S05 PDFBibTeX XMLCite \textit{B. Jüttler} et al., Comput. Aided Geom. Des. 71, 105--118 (2019; Zbl 1505.65065) Full Text: DOI
Falini, Antonella; Jüttler, Bert THB-splines multi-patch parameterization for multiply-connected planar domains via template segmentation. (English) Zbl 1524.65064 J. Comput. Appl. Math. 349, 390-402 (2019). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{A. Falini} and \textit{B. Jüttler}, J. Comput. Appl. Math. 349, 390--402 (2019; Zbl 1524.65064) Full Text: DOI
Scholz, Felix; Mantzaflaris, Angelos; Jüttler, Bert Partial tensor decomposition for decoupling isogeometric Galerkin discretizations. (English) Zbl 1440.65231 Comput. Methods Appl. Mech. Eng. 336, 485-506 (2018). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{F. Scholz} et al., Comput. Methods Appl. Mech. Eng. 336, 485--506 (2018; Zbl 1440.65231) Full Text: DOI HAL
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, Boris N.; Langer, Ulrich Low rank tensor methods in Galerkin-based isogeometric analysis. (English) Zbl 1439.65185 Comput. Methods Appl. Mech. Eng. 316, 1062-1085 (2017). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{A. Mantzaflaris} et al., Comput. Methods Appl. Mech. Eng. 316, 1062--1085 (2017; Zbl 1439.65185) Full Text: DOI HAL
Kapl, Mario; Buchegger, Florian; Bercovier, Michel; Jüttler, Bert Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries. (English) Zbl 1439.65178 Comput. Methods Appl. Mech. Eng. 316, 209-234 (2017). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{M. Kapl} et al., Comput. Methods Appl. Mech. Eng. 316, 209--234 (2017; Zbl 1439.65178) Full Text: DOI
Jüttler, Bert; Kleiss, Stefan K. Coupling adaptively refined multi-patch spline discretizations via boundary compatibility. (English) Zbl 1397.65273 Comput. Math. Appl. 74, No. 7, 1626-1647 (2017). MSC: 65N30 65N50 65D07 PDFBibTeX XMLCite \textit{B. Jüttler} and \textit{S. K. Kleiss}, Comput. Math. Appl. 74, No. 7, 1626--1647 (2017; Zbl 1397.65273) Full Text: DOI
Hofreither, Clemens; Jüttler, Bert; Kiss, Gábor; Zulehner, Walter Multigrid methods for isogeometric analysis with THB-splines. (English) Zbl 1439.65171 Comput. Methods Appl. Mech. Eng. 308, 96-112 (2016). MSC: 65N30 65D07 65N55 65D17 PDFBibTeX XMLCite \textit{C. Hofreither} et al., Comput. Methods Appl. Mech. Eng. 308, 96--112 (2016; Zbl 1439.65171) Full Text: DOI
Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin On numerical integration in isogeometric subdivision methods for PDEs on surfaces. (English) Zbl 1425.65033 Comput. Methods Appl. Mech. Eng. 302, 131-146 (2016). MSC: 65D17 35R01 65N30 PDFBibTeX XMLCite \textit{B. Jüttler} et al., Comput. Methods Appl. Mech. Eng. 302, 131--146 (2016; Zbl 1425.65033) Full Text: DOI HAL
Giannelli, Carlotta; Jüttler, Bert; Kleiss, Stefan K.; Mantzaflaris, Angelos; Simeon, Bernd; Špeh, Jaka THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis. (English) Zbl 1425.65026 Comput. Methods Appl. Mech. Eng. 299, 337-365 (2016). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{C. Giannelli} et al., Comput. Methods Appl. Mech. Eng. 299, 337--365 (2016; Zbl 1425.65026) Full Text: DOI HAL
Buchegger, Florian; Jüttler, Bert; Mantzaflaris, Angelos Adaptively refined multi-patch B-splines with enhanced smoothness. (English) Zbl 1410.65028 Appl. Math. Comput. 272, Part 1, 159-172 (2016). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{F. Buchegger} et al., Appl. Math. Comput. 272, Part 1, 159--172 (2016; Zbl 1410.65028) Full Text: DOI HAL
Zore, Urška; Jüttler, Bert; Kosinka, Jiří On the linear independence of truncated hierarchical generating systems. (English) Zbl 1359.65027 J. Comput. Appl. Math. 306, 200-216 (2016). MSC: 65D07 41A15 65D17 PDFBibTeX XMLCite \textit{U. Zore} et al., J. Comput. Appl. Math. 306, 200--216 (2016; Zbl 1359.65027) Full Text: DOI
Kapl, Mario; Vitrih, Vito; Jüttler, Bert; Birner, Katharina Isogeometric analysis with geometrically continuous functions on two-patch geometries. (English) Zbl 1443.65346 Comput. Math. Appl. 70, No. 7, 1518-1538 (2015). MSC: 65N30 65D17 PDFBibTeX XMLCite \textit{M. Kapl} et al., Comput. Math. Appl. 70, No. 7, 1518--1538 (2015; Zbl 1443.65346) Full Text: DOI
Bressan, Andrea; Jüttler, Bert A hierarchical construction of LR meshes in 2D. (English) Zbl 1417.65064 Comput. Aided Geom. Des. 37, 9-24 (2015). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{B. Jüttler}, Comput. Aided Geom. Des. 37, 9--24 (2015; Zbl 1417.65064) Full Text: DOI
Falini, Antonella; Špeh, Jaka; Jüttler, Bert Planar domain parameterization with THB-splines. (English) Zbl 1417.65066 Comput. Aided Geom. Des. 35-36, 95-108 (2015). MSC: 65D07 65D17 74S15 PDFBibTeX XMLCite \textit{A. Falini} et al., Comput. Aided Geom. Des. 35--36, 95--108 (2015; Zbl 1417.65066) Full Text: DOI
Mantzaflaris, Angelos; Jüttler, Bert Integration by interpolation and look-up for Galerkin-based isogeometric analysis. (English) Zbl 1425.65169 Comput. Methods Appl. Mech. Eng. 284, 373-400 (2015). MSC: 65N30 65D05 65D17 65D30 PDFBibTeX XMLCite \textit{A. Mantzaflaris} and \textit{B. Jüttler}, Comput. Methods Appl. Mech. Eng. 284, 373--400 (2015; Zbl 1425.65169) Full Text: DOI
Pauley, Michael; Nguyen, Dang-Manh; Mayer, David; Špeh, Jaka; Weeger, Oliver; Jüttler, Bert The isogeometric segmentation pipeline. (English) Zbl 1334.65045 Jüttler, Bert (ed.) et al., Isogeometric analysis and applications 2014. Selected papers based on the presentations at the IGAA 2014, Annweiler am Trifels, Germany, April 7–10, 2014. Cham: Springer (ISBN 978-3-319-23314-7/hbk; 978-3-319-23315-4/ebook). Lecture Notes in Computational Science and Engineering 107, 51-72 (2015). MSC: 65D17 PDFBibTeX XMLCite \textit{M. Pauley} et al., Lect. Notes Comput. Sci. Eng. 107, 51--72 (2015; Zbl 1334.65045) Full Text: DOI Link
Mantzaflaris, Angelos; Jüttler, Bert; Khoromskij, B. N.; Langer, Ulrich Matrix generation in isogeometric analysis by low rank tensor approximation. (English) Zbl 1360.65282 Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 8th international conference, Paris, France, June 12–18, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-22803-7/pbk; 978-3-319-22804-4/ebook). Lecture Notes in Computer Science 9213, 321-340 (2015). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{A. Mantzaflaris} et al., Lect. Notes Comput. Sci. 9213, 321--340 (2015; Zbl 1360.65282) Full Text: DOI HAL
Takacs, Thomas; Jüttler, Bert; Scherzer, Otmar Derivatives of isogeometric functions on \(n\)-dimensional rational patches in \(\mathbb R^d\). (English) Zbl 1364.65047 Comput. Aided Geom. Des. 31, No. 7-8, 567-581 (2014). MSC: 65D17 PDFBibTeX XMLCite \textit{T. Takacs} et al., Comput. Aided Geom. Des. 31, No. 7--8, 567--581 (2014; Zbl 1364.65047) Full Text: DOI
Zore, Urška; Jüttler, Bert Adaptively refined multilevel spline spaces from generating systems. (English) Zbl 1364.65035 Comput. Aided Geom. Des. 31, No. 7-8, 545-566 (2014). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{U. Zore} and \textit{B. Jüttler}, Comput. Aided Geom. Des. 31, No. 7--8, 545--566 (2014; Zbl 1364.65035) Full Text: DOI
Mokriš, Dominik; Jüttler, Bert TDHB-splines: the truncated decoupled basis of hierarchical tensor-product splines. (English) Zbl 1364.65032 Comput. Aided Geom. Des. 31, No. 7-8, 531-544 (2014). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{D. Mokriš} and \textit{B. Jüttler}, Comput. Aided Geom. Des. 31, No. 7--8, 531--544 (2014; Zbl 1364.65032) Full Text: DOI
Mokriš, Dominik; Jüttler, Bert; Giannelli, Carlotta On the completeness of hierarchical tensor-product image-splines. (English) Zbl 1321.65020 J. Comput. Appl. Math. 271, 53-70 (2014). MSC: 65D07 PDFBibTeX XMLCite \textit{D. Mokriš} et al., J. Comput. Appl. Math. 271, 53--70 (2014; Zbl 1321.65020) Full Text: DOI
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik Strongly stable bases for adaptively refined multilevel spline spaces. (English) Zbl 1298.41010 Adv. Comput. Math. 40, No. 2, 459-490 (2014). MSC: 41A15 65D07 65D17 PDFBibTeX XMLCite \textit{C. Giannelli} et al., Adv. Comput. Math. 40, No. 2, 459--490 (2014; Zbl 1298.41010) Full Text: DOI
Pilgerstorfer, Elisabeth; Jüttler, Bert Bounding the influence of domain parameterization and knot spacing on numerical stability in isogeometric analysis. (English) Zbl 1295.65116 Comput. Methods Appl. Mech. Eng. 268, 589-613 (2014). MSC: 65N30 65D17 PDFBibTeX XMLCite \textit{E. Pilgerstorfer} and \textit{B. Jüttler}, Comput. Methods Appl. Mech. Eng. 268, 589--613 (2014; Zbl 1295.65116) Full Text: DOI
Kleiss, Stefan K.; Pechstein, Clemens; Jüttler, Bert; Tomar, Satyendra IETI – isogeometric tearing and interconnecting. (English) Zbl 1352.65628 Comput. Methods Appl. Mech. Eng. 247-248, 201-215 (2012). MSC: 65N55 65D17 PDFBibTeX XMLCite \textit{S. K. Kleiss} et al., Comput. Methods Appl. Mech. Eng. 247--248, 201--215 (2012; Zbl 1352.65628) Full Text: DOI
Großmann, David; Jüttler, Bert; Schlusnus, Helena; Barner, Johannes; Vuong, Anh-Vu Isogeometric simulation of turbine blades for aircraft engines. (English) Zbl 1250.65025 Comput. Aided Geom. Des. 29, No. 7, 519-531 (2012). MSC: 65D17 74B05 74K25 74S05 PDFBibTeX XMLCite \textit{D. Großmann} et al., Comput. Aided Geom. Des. 29, No. 7, 519--531 (2012; Zbl 1250.65025) Full Text: DOI
Kleiss, Stefan K.; Jüttler, Bert; Zulehner, Walter Enhancing isogeometric analysis by a finite element-based local refinement strategy. (English) Zbl 1243.65139 Comput. Methods Appl. Mech. Eng. 213-216, 168-182 (2012). MSC: 65N30 65D17 PDFBibTeX XMLCite \textit{S. K. Kleiss} et al., Comput. Methods Appl. Mech. Eng. 213--216, 168--182 (2012; Zbl 1243.65139) Full Text: DOI
Takacs, Thomas; Jüttler, Bert Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis. (English) Zbl 1239.65014 Comput. Methods Appl. Mech. Eng. 200, No. 49-52, 3568-3582 (2011). MSC: 65D17 65D07 PDFBibTeX XMLCite \textit{T. Takacs} and \textit{B. Jüttler}, Comput. Methods Appl. Mech. Eng. 200, No. 49--52, 3568--3582 (2011; Zbl 1239.65014) Full Text: DOI
Vuong, A.-V.; Giannelli, Carlotta; Jüttler, Bert; Simeon, Bernd A hierarchical approach to adaptive local refinement in isogeometric analysis. (English) Zbl 1239.65013 Comput. Methods Appl. Mech. Eng. 200, No. 49-52, 3554-3567 (2011). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{A. V. Vuong} et al., Comput. Methods Appl. Mech. Eng. 200, No. 49--52, 3554--3567 (2011; Zbl 1239.65013) Full Text: DOI
Dörfel, Michael R.; Jüttler, Bert; Simeon, Bernd Adaptive isogeometric analysis by local \(h\)-refinement with T-splines. (English) Zbl 1227.74125 Comput. Methods Appl. Mech. Eng. 199, No. 5-8, 264-275 (2010). MSC: 74S99 76M99 65D07 PDFBibTeX XMLCite \textit{M. R. Dörfel} et al., Comput. Methods Appl. Mech. Eng. 199, No. 5--8, 264--275 (2010; Zbl 1227.74125) Full Text: DOI