Edit Profile (opens in new tab) Speleers, Hendrik Compute Distance To: Compute Author ID: speleers.hendrik Published as: Speleers, Hendrik; Speleers, H. External Links: MGP · ORCID Documents Indexed: 79 Publications since 2006 3 Contributions as Editor Co-Authors: 43 Co-Authors with 70 Joint Publications 1,150 Co-Co-Authors all top 5 Co-Authors 12 single-authored 47 Manni, Carla 12 Garoni, Carlo 12 Serra-Capizzano, Stefano 9 Pelosi, Francesca 8 Dierckx, Paul 8 Vandewalle, Stefan G. 7 Lyche, Tom 6 Donatelli, Marco 6 Hughes, Thomas J. R. 5 Giannelli, Carlotta 5 Roman, Fabio 5 Sande, Espen 5 Toshniwal, Deepesh 3 Bracco, Cesare 3 Grošelj, Jan 3 Hiemstra, René R. 3 Mazza, Mariarosa 3 Schumaker, Larry L. 2 Jüttler, Bert 2 Kanduč, Tadej 2 Lettieri, Davide 2 Reali, Alessandro 2 Sesana, Debora 1 Beirão da Veiga, Lourenço 1 Cardinali, Maria Lucia 1 Ekstrom, Sven-Erik 1 Evans, John A. 1 Floater, Michael S. 1 Furci, Isabella 1 Hofreither, Clemens 1 Kiendl, Josef 1 Kunoth, Angela 1 Li, Xin 1 Lovadina, Carlo 1 Mazzia, Francesca 1 Mitter, Ludwig 1 Niiranen, Jarkko 1 Patrizi, Francesco 1 Ratnani, Ahmed 1 Raval, Krunal 1 Sampoli, Maria Lucia 1 Sangalli, Giancarlo 1 Sestini, Alessandra 1 Wei, Xiaodong 1 Zhang, Yongjie Jessica all top 5 Serials 14 Computer Aided Geometric Design 13 Computer Methods in Applied Mechanics and Engineering 7 Journal of Computational and Applied Mathematics 5 Numerische Mathematik 3 Applied Numerical Mathematics 3 Numerical Linear Algebra with Applications 3 Advances in Computational Mathematics 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 2 ACM Transactions on Mathematical Software 2 Applied Mathematics and Computation 2 BIT 2 SIAM Journal on Numerical Analysis 2 Constructive Approximation 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Springer INdAM Series 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 SIAM Journal on Matrix Analysis and Applications 1 Computing and Visualization in Science 1 Foundations of Computational Mathematics 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Lecture Notes in Mathematics 1 Jaen Journal on Approximation all top 5 Fields 79 Numerical analysis (65-XX) 36 Approximations and expansions (41-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 1 Ordinary differential equations (34-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 1,168 times in 498 Documents Cited by ▼ Year ▼ THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik 189 2012 Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik 63 2014 Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems. Zbl 1253.65026Speleers, Hendrik; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia 49 2012 Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014Speleers, Hendrik 49 2013 Effortless quasi-interpolation in hierarchical spaces. Zbl 1335.65021Speleers, Hendrik; Manni, Carla 41 2016 A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027Speleers, Hendrik 40 2010 Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. Zbl 1355.65153Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 36 2017 On the spectrum of stiffness matrices arising from isogeometric analysis. Zbl 1298.65172Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik 33 2014 Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. Zbl 1425.65136Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 32 2015 Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038Speleers, Hendrik 32 2013 A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H. 32 2015 Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations. Zbl 1439.65017Toshniwal, Deepesh; Speleers, Hendrik; Hughes, Thomas J. R. 30 2017 Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 30 2006 A normalized basis for reduced Clough-Tocher splines. Zbl 1210.65026Speleers, Hendrik 26 2010 Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines. Zbl 1317.65055Speleers, Hendrik; Manni, Carla 25 2015 Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 23 2009 Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis. Zbl 1439.65016Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Hughes, Thomas J. R. 22 2017 Robust and optimal multi-iterative techniques for Iga collocation linear systems. Zbl 1425.65196Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 21 2015 A family of smooth quasi-interpolants defined over Powell-Sabin triangulations. Zbl 1318.41007Speleers, Hendrik 19 2015 Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Zbl 1335.65096Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 18 2016 Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis. Zbl 1440.65021Wei, Xiaodong; Zhang, Yongjie Jessica; Toshniwal, Deepesh; Speleers, Hendrik; Li, Xin; Manni, Carla; Evans, John A.; Hughes, Thomas J. R. 17 2018 Hierarchical spline spaces: quasi-interpolants and local approximation estimates. Zbl 1370.41021Speleers, Hendrik 17 2017 From NURBS to NURPS geometries. Zbl 1297.65018Speleers, Hendrik; Manni, Carla; Pelosi, Francesca 17 2013 Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods. Zbl 1359.65252Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik 16 2017 Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement. Zbl 1407.41007Lyche, Tom; Manni, Carla; Speleers, Hendrik 16 2018 Sharp error estimates for spline approximation: explicit constants, \(n\)-widths, and eigenfunction convergence. Zbl 1428.41010Sande, Espen; Manni, Carla; Speleers, Hendrik 13 2019 A new B-spline representation for cubic splines over Powell-Sabin triangulations. Zbl 1417.65070Speleers, Hendrik 13 2015 Construction and analysis of cubic Powell-Sabin B-splines. Zbl 1379.65009Grošelj, Jan; Speleers, Hendrik 13 2017 Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R. 13 2020 Nonnegativity preserving macro-element interpolation of scattered data. Zbl 1211.65017Schumaker, Larry L.; Speleers, Hendrik 11 2010 Local hierarchical \(h\)-refinements in IgA based on generalized B-splines. Zbl 1356.65035Manni, Carla; Pelosi, Francesca; Speleers, Hendrik 11 2014 Interpolation with quintic Powell-Sabin splines. Zbl 1241.65024Speleers, Hendrik 10 2012 Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. Zbl 1483.65026Sande, Espen; Manni, Carla; Speleers, Hendrik 10 2020 Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices. Zbl 1352.65501Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik 10 2017 Adaptive isogeometric analysis with hierarchical box splines. Zbl 1439.65177Kanduč, Tadej; Giannelli, Carlotta; Pelosi, Francesca; Speleers, Hendrik 9 2017 Generalized spline spaces over T-meshes: dimension formula and locally refined generalized B-splines. Zbl 1410.65027Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik 9 2016 Three recipes for quasi-interpolation with cubic Powell-Sabin splines. Zbl 07038580Grošelj, Jan; Speleers, Hendrik 9 2018 Isogeometric collocation methods with generalized B-splines. Zbl 1443.65107Manni, Carla; Reali, Alessandro; Speleers, Hendrik 8 2015 Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness. Zbl 1361.65049Roman, Fabio; Manni, Carla; Speleers, Hendrik 8 2017 On the dimension of Tchebycheffian spline spaces over planar T-meshes. Zbl 1418.41005Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik 8 2016 Weight control for modelling with NURPS surfaces. Zbl 1171.65353Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 8 2007 On multivariate polynomials in Bernstein-Bézier form and tensor algebra. Zbl 1233.65016Speleers, Hendrik 8 2011 Algorithm 999: Computation of multi-degree B-splines. Zbl 1486.65019Speleers, Hendrik 8 2019 A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh 7 2020 Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 6 2007 Are the eigenvalues of the B-spline isogeometric analysis approximation of \(-\Delta u=\lambda u\) known in almost closed form? Zbl 06987014Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 6 2018 Two-grid optimality for Galerkin linear systems based on B-splines. Zbl 1388.65176Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 6 2015 Adaptive refinement with locally linearly independent LR B-splines: theory and applications. Zbl 07413179Patrizi, Francesco; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik 6 2020 Isogeometric analysis for 2D and 3D curl-div problems: spectral symbols and fast iterative solvers. Zbl 1440.82016Mazza, Mariarosa; Manni, Carla; Ratnani, Ahmed; Serra-Capizzano, Stefano; Speleers, Hendrik 5 2019 Generalized B-splines in isogeometric analysis. Zbl 1385.65061Manni, Carla; Roman, Fabio; Speleers, Hendrik 5 2017 An immersed-isogeometric model: application to linear elasticity and implementation with THBox-splines. Zbl 1451.74217Giannelli, Carlotta; Kanduč, Tadej; Pelosi, Francesca; Speleers, Hendrik 5 2019 On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2010 Local subdivision of Powell–Sabin splines. Zbl 1093.65011Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2006 Convexity preserving splines over triangulations. Zbl 1229.65043Schumaker, Larry L.; Speleers, Hendrik 5 2011 BS2 methods for semi-linear second order boundary value problems. Zbl 1338.65190Manni, Carla; Mazzia, Francesca; Sestini, Alessandra; Speleers, Hendrik 4 2015 Standard and non-standard CAGD tools for isogeometric analysis: a tutorial. Zbl 1356.65052Manni, Carla; Speleers, Hendrik 4 2016 Tchebycheffian B-splines revisited: an introductory exposition. Zbl 07150020Lyche, Tom; Manni, Carla; Speleers, Hendrik 3 2019 Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision. Zbl 1457.41006Grošelj, Jan; Speleers, Hendrik 3 2021 Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities. Zbl 07006428Bracco, Cesare; Lyche, Tom; Manni, Carla; Speleers, Hendrik 3 2019 NURBS in isogeometric discretization methods: a spectral analysis. Zbl 1474.35263Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 3 2020 On the \(L_p\)-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 3 2008 Piecewise rational quintic shape-preserving interpolation with high smoothness. Zbl 1379.41020Lettieri, Davide; Manni, Carla; Speleers, Hendrik 2 2014 Multigrid methods with Powell-Sabin splines. Zbl 1158.65084Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 2 2008 Isogeometric discretizations with generalized B-splines: symbol-based spectral analysis. Zbl 1473.65290Cardinali, Maria Lucia; Garoni, Carlo; Manni, Carla; Speleers, Hendrik 2 2021 Inner products of box splines and their derivatives. Zbl 1321.41010Speleers, Hendrik 2 2015 Numerical approximation of GB-splines by a convolutional approach. Zbl 1372.65040Roman, Fabio; Manni, Carla; Speleers, Hendrik 1 2017 Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations. Zbl 07464475Manni, Carla; Sande, Espen; Speleers, Hendrik 1 2022 Shape preserving \(HC^2\) interpolatory subdivision. Zbl 1328.65060Lettieri, Davide; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik 1 2015 Convexity preserving \(C^0\) splines. Zbl 1298.41014Schumaker, Larry L.; Speleers, Hendrik 1 2014 Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations. Zbl 07464475Manni, Carla; Sande, Espen; Speleers, Hendrik 1 2022 Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision. Zbl 1457.41006Grošelj, Jan; Speleers, Hendrik 3 2021 Isogeometric discretizations with generalized B-splines: symbol-based spectral analysis. Zbl 1473.65290Cardinali, Maria Lucia; Garoni, Carlo; Manni, Carla; Speleers, Hendrik 2 2021 Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R. 13 2020 Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. Zbl 1483.65026Sande, Espen; Manni, Carla; Speleers, Hendrik 10 2020 A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh 7 2020 Adaptive refinement with locally linearly independent LR B-splines: theory and applications. Zbl 07413179Patrizi, Francesco; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik 6 2020 NURBS in isogeometric discretization methods: a spectral analysis. Zbl 1474.35263Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 3 2020 Sharp error estimates for spline approximation: explicit constants, \(n\)-widths, and eigenfunction convergence. Zbl 1428.41010Sande, Espen; Manni, Carla; Speleers, Hendrik 13 2019 Algorithm 999: Computation of multi-degree B-splines. Zbl 1486.65019Speleers, Hendrik 8 2019 Isogeometric analysis for 2D and 3D curl-div problems: spectral symbols and fast iterative solvers. Zbl 1440.82016Mazza, Mariarosa; Manni, Carla; Ratnani, Ahmed; Serra-Capizzano, Stefano; Speleers, Hendrik 5 2019 An immersed-isogeometric model: application to linear elasticity and implementation with THBox-splines. Zbl 1451.74217Giannelli, Carlotta; Kanduč, Tadej; Pelosi, Francesca; Speleers, Hendrik 5 2019 Tchebycheffian B-splines revisited: an introductory exposition. Zbl 07150020Lyche, Tom; Manni, Carla; Speleers, Hendrik 3 2019 Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities. Zbl 07006428Bracco, Cesare; Lyche, Tom; Manni, Carla; Speleers, Hendrik 3 2019 Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis. Zbl 1440.65021Wei, Xiaodong; Zhang, Yongjie Jessica; Toshniwal, Deepesh; Speleers, Hendrik; Li, Xin; Manni, Carla; Evans, John A.; Hughes, Thomas J. R. 17 2018 Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement. Zbl 1407.41007Lyche, Tom; Manni, Carla; Speleers, Hendrik 16 2018 Three recipes for quasi-interpolation with cubic Powell-Sabin splines. Zbl 07038580Grošelj, Jan; Speleers, Hendrik 9 2018 Are the eigenvalues of the B-spline isogeometric analysis approximation of \(-\Delta u=\lambda u\) known in almost closed form? Zbl 06987014Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 6 2018 Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. Zbl 1355.65153Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 36 2017 Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations. Zbl 1439.65017Toshniwal, Deepesh; Speleers, Hendrik; Hughes, Thomas J. R. 30 2017 Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis. Zbl 1439.65016Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Hughes, Thomas J. R. 22 2017 Hierarchical spline spaces: quasi-interpolants and local approximation estimates. Zbl 1370.41021Speleers, Hendrik 17 2017 Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods. Zbl 1359.65252Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik 16 2017 Construction and analysis of cubic Powell-Sabin B-splines. Zbl 1379.65009Grošelj, Jan; Speleers, Hendrik 13 2017 Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices. Zbl 1352.65501Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik 10 2017 Adaptive isogeometric analysis with hierarchical box splines. Zbl 1439.65177Kanduč, Tadej; Giannelli, Carlotta; Pelosi, Francesca; Speleers, Hendrik 9 2017 Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness. Zbl 1361.65049Roman, Fabio; Manni, Carla; Speleers, Hendrik 8 2017 Generalized B-splines in isogeometric analysis. Zbl 1385.65061Manni, Carla; Roman, Fabio; Speleers, Hendrik 5 2017 Numerical approximation of GB-splines by a convolutional approach. Zbl 1372.65040Roman, Fabio; Manni, Carla; Speleers, Hendrik 1 2017 Effortless quasi-interpolation in hierarchical spaces. Zbl 1335.65021Speleers, Hendrik; Manni, Carla 41 2016 Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Zbl 1335.65096Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 18 2016 Generalized spline spaces over T-meshes: dimension formula and locally refined generalized B-splines. Zbl 1410.65027Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik 9 2016 On the dimension of Tchebycheffian spline spaces over planar T-meshes. Zbl 1418.41005Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik 8 2016 Standard and non-standard CAGD tools for isogeometric analysis: a tutorial. Zbl 1356.65052Manni, Carla; Speleers, Hendrik 4 2016 Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. Zbl 1425.65136Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 32 2015 A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H. 32 2015 Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines. Zbl 1317.65055Speleers, Hendrik; Manni, Carla 25 2015 Robust and optimal multi-iterative techniques for Iga collocation linear systems. Zbl 1425.65196Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 21 2015 A family of smooth quasi-interpolants defined over Powell-Sabin triangulations. Zbl 1318.41007Speleers, Hendrik 19 2015 A new B-spline representation for cubic splines over Powell-Sabin triangulations. Zbl 1417.65070Speleers, Hendrik 13 2015 Isogeometric collocation methods with generalized B-splines. Zbl 1443.65107Manni, Carla; Reali, Alessandro; Speleers, Hendrik 8 2015 Two-grid optimality for Galerkin linear systems based on B-splines. Zbl 1388.65176Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 6 2015 BS2 methods for semi-linear second order boundary value problems. Zbl 1338.65190Manni, Carla; Mazzia, Francesca; Sestini, Alessandra; Speleers, Hendrik 4 2015 Inner products of box splines and their derivatives. Zbl 1321.41010Speleers, Hendrik 2 2015 Shape preserving \(HC^2\) interpolatory subdivision. Zbl 1328.65060Lettieri, Davide; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik 1 2015 Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik 63 2014 On the spectrum of stiffness matrices arising from isogeometric analysis. Zbl 1298.65172Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik 33 2014 Local hierarchical \(h\)-refinements in IgA based on generalized B-splines. Zbl 1356.65035Manni, Carla; Pelosi, Francesca; Speleers, Hendrik 11 2014 Piecewise rational quintic shape-preserving interpolation with high smoothness. Zbl 1379.41020Lettieri, Davide; Manni, Carla; Speleers, Hendrik 2 2014 Convexity preserving \(C^0\) splines. Zbl 1298.41014Schumaker, Larry L.; Speleers, Hendrik 1 2014 Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014Speleers, Hendrik 49 2013 Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038Speleers, Hendrik 32 2013 From NURBS to NURPS geometries. Zbl 1297.65018Speleers, Hendrik; Manni, Carla; Pelosi, Francesca 17 2013 THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik 189 2012 Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems. Zbl 1253.65026Speleers, Hendrik; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia 49 2012 Interpolation with quintic Powell-Sabin splines. Zbl 1241.65024Speleers, Hendrik 10 2012 On multivariate polynomials in Bernstein-Bézier form and tensor algebra. Zbl 1233.65016Speleers, Hendrik 8 2011 Convexity preserving splines over triangulations. Zbl 1229.65043Schumaker, Larry L.; Speleers, Hendrik 5 2011 A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027Speleers, Hendrik 40 2010 A normalized basis for reduced Clough-Tocher splines. Zbl 1210.65026Speleers, Hendrik 26 2010 Nonnegativity preserving macro-element interpolation of scattered data. Zbl 1211.65017Schumaker, Larry L.; Speleers, Hendrik 11 2010 On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2010 Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 23 2009 On the \(L_p\)-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 3 2008 Multigrid methods with Powell-Sabin splines. Zbl 1158.65084Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 2 2008 Weight control for modelling with NURPS surfaces. Zbl 1171.65353Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 8 2007 Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 6 2007 Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 30 2006 Local subdivision of Powell–Sabin splines. Zbl 1093.65011Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan 5 2006 all cited Publications top 5 cited Publications all top 5 Cited by 631 Authors 56 Speleers, Hendrik 33 Manni, Carla 32 Serra-Capizzano, Stefano 25 Hughes, Thomas J. R. 25 Jüttler, Bert 24 Garoni, Carlo 21 Giannelli, Carlotta 21 Zhang, Yongjie Jessica 15 Toshniwal, Deepesh 14 Wei, Xiaodong 13 Bracco, Cesare 13 Grošelj, Jan 13 Rabczuk, Timon 12 Buffa, Annalisa 12 Deng, Jiansong 12 Sangalli, Giancarlo 11 Li, Xin 11 Reali, Alessandro 10 Donatelli, Marco 10 Lyche, Tom 10 Vazquez, Rafael 9 Hiemstra, René R. 9 Mantzaflaris, Angelos 9 Mazza, Mariarosa 9 Scott, Michael A. 9 Xu, Gang 8 Anitescu, Cosmin 8 Chen, Falai 8 Krajnc, Marjeta 8 Pelosi, Francesca 8 Schillinger, Dominik 7 Cho, Durkbin 7 Evans, John A. 7 Kapl, Mario 7 Kiendl, Josef 7 Lamnii, Abdellah 7 Langer, Ulrich 7 Möller, Matthias 7 Mourrain, Bernard 7 Niiranen, Jarkko 7 Serghini, Abdelhafid 7 Sestini, Alessandra 7 Takacs, Stefan 7 Tani, Mattia 7 Tijini, Ahmed 7 Vuik, Cornelis 6 Antolin, Pablo 6 Barrera, Domingo 6 Bui, Tinh Quoc 6 Kang, Hongmei 6 Kosinka, Jiří 6 Lamnii, Mohamed 6 Pan, Qing 6 Peters, Jorg 6 Qian, Xiaoping 6 Takacs, Thomas 6 Vandewalle, Stefan G. 6 Yu, Tiantang 5 Barbarino, Giovanni 5 Beccari, Carolina Vittoria 5 Casciola, Giulio 5 Casquero, Hugo 5 Dierckx, Paul 5 Dokken, Tor 5 Ekstrom, Sven-Erik 5 Hofer, Christoph D. 5 Johannessen, Kjetil André 5 Kanduč, Tadej 5 Kleiss, Stefan K. 5 Kvamsdal, Trond 5 Mraoui, Hamid 5 Rank, Ernst 5 Roman, Fabio 5 Sande, Espen 5 Sbibih, Driss 5 Sesana, Debora 5 Tielen, Roel 4 Beirão da Veiga, Lourenço 4 Bordas, Stéphane Pierre Alain 4 Costarelli, Danilo 4 D’Angella, Davide 4 Falini, Antonella 4 Jia, Yue 4 Karčiauskas, Kęstutis 4 Kollmannsberger, Stefan 4 Ma, Weiyin 4 Mazure, Marie-Laurence 4 Morgenstern, Philipp 4 Pan, Maodong 4 Pavarino, Luca Franco 4 Pawar, Aishwarya 4 Sampoli, Maria Lucia 4 Scacchi, Simone 4 Thomas, Derek C. 4 Tomar, Satyendra K. 4 Van Brummelen, Harald 4 Villamizar, Nelly 4 Vinti, Gianluca 4 Vitrih, Vito 4 Xia, Songtao ...and 531 more Authors all top 5 Cited in 71 Serials 146 Computer Methods in Applied Mechanics and Engineering 58 Computer Aided Geometric Design 38 Journal of Computational and Applied Mathematics 28 Computers & Mathematics with Applications 12 Computational Mechanics 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Advances in Computational Mathematics 10 BIT 8 Applied Mathematics and Computation 7 Journal of Computational Physics 7 Numerische Mathematik 7 Numerical Algorithms 7 SIAM Journal on Scientific Computing 6 Mathematics of Computation 6 Linear Algebra and its Applications 5 Mathematics and Computers in Simulation 5 SIAM Journal on Numerical Analysis 5 Applied Numerical Mathematics 5 ETNA. Electronic Transactions on Numerical Analysis 4 Calcolo 4 Applied Mathematical Modelling 4 Mathematics and Mechanics of Solids 4 Axioms 3 Constructive Approximation 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Scientific Computing 3 Computational and Applied Mathematics 3 European Journal of Mechanics. A. Solids 3 Journal of Systems Science and Complexity 3 Communications in Computational Physics 2 International Journal for Numerical Methods in Engineering 2 Engineering Analysis with Boundary Elements 2 Computing and Visualization in Science 2 Archives of Computational Methods in Engineering 2 Foundations of Computational Mathematics 2 SMAI Journal of Computational Mathematics 1 Applicable Analysis 1 Computers and Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Meccanica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Advances in Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Expositiones Mathematicae 1 Computational Optimization and Applications 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Fractional Calculus & Applied Analysis 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Numerical Mathematics 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Communications in Theoretical Physics 1 Science China. Mathematics 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Communications in Mathematics and Statistics 1 International Journal of Applied and Computational Mathematics 1 Ural Mathematical Journal all top 5 Cited in 38 Fields 445 Numerical analysis (65-XX) 139 Approximations and expansions (41-XX) 91 Mechanics of deformable solids (74-XX) 44 Partial differential equations (35-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 23 Computer science (68-XX) 20 Fluid mechanics (76-XX) 14 Operator theory (47-XX) 7 Ordinary differential equations (34-XX) 7 Information and communication theory, circuits (94-XX) 5 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Operations research, mathematical programming (90-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Commutative algebra (13-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year