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Author ID: speleers.hendrik Recent zbMATH articles by "Speleers, Hendrik"
Published as: Speleers, Hendrik; Speleers, H.
External Links: MGP · ORCID

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 1,556 times in 665 Documents Cited by Year
THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
223
2012
Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations. Zbl 1439.65017
Toshniwal, Deepesh; Speleers, Hendrik; Hughes, Thomas J. R.
73
2017
Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
70
2014
Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems. Zbl 1253.65026
Speleers, Hendrik; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
60
2012
Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014
Speleers, Hendrik
57
2013
Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. Zbl 1425.65136
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
52
2015
Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis. Zbl 1439.65016
Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Hughes, Thomas J. R.
52
2017
Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. Zbl 1355.65153
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
49
2017
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
44
2010
Effortless quasi-interpolation in hierarchical spaces. Zbl 1335.65021
Speleers, Hendrik; Manni, Carla
42
2016
On the spectrum of stiffness matrices arising from isogeometric analysis. Zbl 1298.65172
Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik
41
2014
A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065
Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H.
41
2015
Robust and optimal multi-iterative techniques for Iga collocation linear systems. Zbl 1425.65196
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
35
2015
Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
33
2013
Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement. Zbl 1407.41007
Lyche, Tom; Manni, Carla; Speleers, Hendrik
32
2018
A normalized basis for reduced Clough-Tocher splines. Zbl 1210.65026
Speleers, Hendrik
32
2010
Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
31
2006
Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines. Zbl 1317.65055
Speleers, Hendrik; Manni, Carla
31
2015
Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis. Zbl 1440.65021
Wei, Xiaodong; Zhang, Yongjie Jessica; Toshniwal, Deepesh; Speleers, Hendrik; Li, Xin; Manni, Carla; Evans, John A.; Hughes, Thomas J. R.
26
2018
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Zbl 1335.65096
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
25
2016
Isogeometric collocation methods with generalized B-splines. Zbl 1443.65107
Manni, Carla; Reali, Alessandro; Speleers, Hendrik
25
2015
Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
23
2009
Sharp error estimates for spline approximation: explicit constants, \(n\)-widths, and eigenfunction convergence. Zbl 1428.41010
Sande, Espen; Manni, Carla; Speleers, Hendrik
22
2019
Hierarchical spline spaces: quasi-interpolants and local approximation estimates. Zbl 1370.41021
Speleers, Hendrik
20
2017
A family of smooth quasi-interpolants defined over Powell-Sabin triangulations. Zbl 1318.41007
Speleers, Hendrik
20
2015
Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods. Zbl 1359.65252
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik
20
2017
Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. Zbl 1483.65026
Sande, Espen; Manni, Carla; Speleers, Hendrik
19
2020
From NURBS to NURPS geometries. Zbl 1297.65018
Speleers, Hendrik; Manni, Carla; Pelosi, Francesca
18
2013
Construction and analysis of cubic Powell-Sabin B-splines. Zbl 1379.65009
Grošelj, Jan; Speleers, Hendrik
17
2017
Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034
Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R.
16
2020
A new B-spline representation for cubic splines over Powell-Sabin triangulations. Zbl 1417.65070
Speleers, Hendrik
16
2015
Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices. Zbl 1352.65501
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik
15
2017
Generalized spline spaces over T-meshes: dimension formula and locally refined generalized B-splines. Zbl 1410.65027
Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik
15
2016
Local hierarchical \(h\)-refinements in IgA based on generalized B-splines. Zbl 1356.65035
Manni, Carla; Pelosi, Francesca; Speleers, Hendrik
14
2014
Algorithm 999: Computation of multi-degree B-splines. Zbl 1486.65019
Speleers, Hendrik
14
2019
Adaptive isogeometric analysis with hierarchical box splines. Zbl 1439.65177
Kanduč, Tadej; Giannelli, Carlotta; Pelosi, Francesca; Speleers, Hendrik
13
2017
Nonnegativity preserving macro-element interpolation of scattered data. Zbl 1211.65017
Schumaker, Larry L.; Speleers, Hendrik
12
2010
Are the eigenvalues of the B-spline isogeometric analysis approximation of \(-\Delta u=\lambda u\) known in almost closed form? Zbl 1513.65454
Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
11
2018
Interpolation with quintic Powell-Sabin splines. Zbl 1241.65024
Speleers, Hendrik
10
2012
Adaptive refinement with locally linearly independent LR B-splines: theory and applications. Zbl 1506.65041
Patrizi, Francesco; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik
10
2020
A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004
Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh
10
2020
On the dimension of Tchebycheffian spline spaces over planar T-meshes. Zbl 1418.41005
Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik
9
2016
On multivariate polynomials in Bernstein-Bézier form and tensor algebra. Zbl 1233.65016
Speleers, Hendrik
9
2011
Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness. Zbl 1361.65049
Roman, Fabio; Manni, Carla; Speleers, Hendrik
9
2017
Three recipes for quasi-interpolation with cubic Powell-Sabin splines. Zbl 1505.65026
Grošelj, Jan; Speleers, Hendrik
9
2018
Two-grid optimality for Galerkin linear systems based on B-splines. Zbl 1388.65176
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
8
2015
Weight control for modelling with NURPS surfaces. Zbl 1171.65353
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
8
2007
Tchebycheffian B-splines revisited: an introductory exposition. Zbl 07150020
Lyche, Tom; Manni, Carla; Speleers, Hendrik
7
2019
Generalized B-splines in isogeometric analysis. Zbl 1385.65061
Manni, Carla; Roman, Fabio; Speleers, Hendrik
7
2017
Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision. Zbl 1457.41006
Grošelj, Jan; Speleers, Hendrik
7
2021
Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations. Zbl 1507.65228
Manni, Carla; Sande, Espen; Speleers, Hendrik
7
2022
Isogeometric analysis for 2D and 3D curl-div problems: spectral symbols and fast iterative solvers. Zbl 1440.82016
Mazza, Mariarosa; Manni, Carla; Ratnani, Ahmed; Serra-Capizzano, Stefano; Speleers, Hendrik
7
2019
BS2 methods for semi-linear second order boundary value problems. Zbl 1338.65190
Manni, Carla; Mazzia, Francesca; Sestini, Alessandra; Speleers, Hendrik
6
2015
An immersed-isogeometric model: application to linear elasticity and implementation with THBox-splines. Zbl 1451.74217
Giannelli, Carlotta; Kanduč, Tadej; Pelosi, Francesca; Speleers, Hendrik
6
2019
Convexity preserving splines over triangulations. Zbl 1229.65043
Schumaker, Larry L.; Speleers, Hendrik
6
2011
Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
6
2007
On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
5
2010
Standard and non-standard CAGD tools for isogeometric analysis: a tutorial. Zbl 1356.65052
Manni, Carla; Speleers, Hendrik
5
2016
Local subdivision of Powell–Sabin splines. Zbl 1093.65011
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
5
2006
Splines and PDEs: from approximation theory to numerical linear algebra. Lecture notes from the summer school, Cetraro, Italy, July 2–7, 2017. Zbl 1404.65003
5
2018
Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities. Zbl 1524.41018
Bracco, Cesare; Lyche, Tom; Manni, Carla; Speleers, Hendrik
4
2019
Algorithm 1020: Computation of multi-degree Tchebycheffian B-splines. Zbl 07500135
Speleers, Hendrik
3
2022
On the \(L_p\)-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
3
2008
Inner products of box splines and their derivatives. Zbl 1321.41010
Speleers, Hendrik
3
2015
NURBS in isogeometric discretization methods: a spectral analysis. Zbl 1474.35263
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
3
2020
Isogeometric discretizations with generalized B-splines: symbol-based spectral analysis. Zbl 1473.65290
Cardinali, Maria Lucia; Garoni, Carlo; Manni, Carla; Speleers, Hendrik
3
2021
Construction of \(C^2\) cubic splines on arbitrary triangulations. Zbl 1522.41004
Lyche, Tom; Manni, Carla; Speleers, Hendrik
3
2022
Shape preserving \(HC^2\) interpolatory subdivision. Zbl 1328.65060
Lettieri, Davide; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik
2
2015
Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces. Zbl 1502.65247
Hofreither, Clemens; Mitter, Ludwig; Speleers, Hendrik
2
2022
Multigrid methods with Powell-Sabin splines. Zbl 1158.65084
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2
2008
Numerical approximation of GB-splines by a convolutional approach. Zbl 1372.65040
Roman, Fabio; Manni, Carla; Speleers, Hendrik
2
2017
Piecewise rational quintic shape-preserving interpolation with high smoothness. Zbl 1379.41020
Lettieri, Davide; Manni, Carla; Speleers, Hendrik
2
2014
Convexity preserving \(C^0\) splines. Zbl 1298.41014
Schumaker, Larry L.; Speleers, Hendrik
1
2014
A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations. Zbl 07764039
Lyche, Tom; Manni, Carla; Speleers, Hendrik
1
2024
Tchebycheffian B-splines in isogeometric Galerkin methods. Zbl 07644151
Raval, Krunal; Manni, Carla; Speleers, Hendrik
1
2023
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates. Zbl 1510.65030
Sande, Espen; Manni, Carla; Speleers, Hendrik
1
2022
A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations. Zbl 07764039
Lyche, Tom; Manni, Carla; Speleers, Hendrik
1
2024
Tchebycheffian B-splines in isogeometric Galerkin methods. Zbl 07644151
Raval, Krunal; Manni, Carla; Speleers, Hendrik
1
2023
Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations. Zbl 1507.65228
Manni, Carla; Sande, Espen; Speleers, Hendrik
7
2022
Algorithm 1020: Computation of multi-degree Tchebycheffian B-splines. Zbl 07500135
Speleers, Hendrik
3
2022
Construction of \(C^2\) cubic splines on arbitrary triangulations. Zbl 1522.41004
Lyche, Tom; Manni, Carla; Speleers, Hendrik
3
2022
Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces. Zbl 1502.65247
Hofreither, Clemens; Mitter, Ludwig; Speleers, Hendrik
2
2022
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates. Zbl 1510.65030
Sande, Espen; Manni, Carla; Speleers, Hendrik
1
2022
Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision. Zbl 1457.41006
Grošelj, Jan; Speleers, Hendrik
7
2021
Isogeometric discretizations with generalized B-splines: symbol-based spectral analysis. Zbl 1473.65290
Cardinali, Maria Lucia; Garoni, Carlo; Manni, Carla; Speleers, Hendrik
3
2021
Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis. Zbl 1483.65026
Sande, Espen; Manni, Carla; Speleers, Hendrik
19
2020
Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034
Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R.
16
2020
Adaptive refinement with locally linearly independent LR B-splines: theory and applications. Zbl 1506.65041
Patrizi, Francesco; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik
10
2020
A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004
Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh
10
2020
NURBS in isogeometric discretization methods: a spectral analysis. Zbl 1474.35263
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
3
2020
Sharp error estimates for spline approximation: explicit constants, \(n\)-widths, and eigenfunction convergence. Zbl 1428.41010
Sande, Espen; Manni, Carla; Speleers, Hendrik
22
2019
Algorithm 999: Computation of multi-degree B-splines. Zbl 1486.65019
Speleers, Hendrik
14
2019
Tchebycheffian B-splines revisited: an introductory exposition. Zbl 07150020
Lyche, Tom; Manni, Carla; Speleers, Hendrik
7
2019
Isogeometric analysis for 2D and 3D curl-div problems: spectral symbols and fast iterative solvers. Zbl 1440.82016
Mazza, Mariarosa; Manni, Carla; Ratnani, Ahmed; Serra-Capizzano, Stefano; Speleers, Hendrik
7
2019
An immersed-isogeometric model: application to linear elasticity and implementation with THBox-splines. Zbl 1451.74217
Giannelli, Carlotta; Kanduč, Tadej; Pelosi, Francesca; Speleers, Hendrik
6
2019
Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities. Zbl 1524.41018
Bracco, Cesare; Lyche, Tom; Manni, Carla; Speleers, Hendrik
4
2019
Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement. Zbl 1407.41007
Lyche, Tom; Manni, Carla; Speleers, Hendrik
32
2018
Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis. Zbl 1440.65021
Wei, Xiaodong; Zhang, Yongjie Jessica; Toshniwal, Deepesh; Speleers, Hendrik; Li, Xin; Manni, Carla; Evans, John A.; Hughes, Thomas J. R.
26
2018
Are the eigenvalues of the B-spline isogeometric analysis approximation of \(-\Delta u=\lambda u\) known in almost closed form? Zbl 1513.65454
Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
11
2018
Three recipes for quasi-interpolation with cubic Powell-Sabin splines. Zbl 1505.65026
Grošelj, Jan; Speleers, Hendrik
9
2018
Splines and PDEs: from approximation theory to numerical linear algebra. Lecture notes from the summer school, Cetraro, Italy, July 2–7, 2017. Zbl 1404.65003
5
2018
Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations. Zbl 1439.65017
Toshniwal, Deepesh; Speleers, Hendrik; Hughes, Thomas J. R.
73
2017
Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis. Zbl 1439.65016
Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Hughes, Thomas J. R.
52
2017
Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. Zbl 1355.65153
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
49
2017
Hierarchical spline spaces: quasi-interpolants and local approximation estimates. Zbl 1370.41021
Speleers, Hendrik
20
2017
Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods. Zbl 1359.65252
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik
20
2017
Construction and analysis of cubic Powell-Sabin B-splines. Zbl 1379.65009
Grošelj, Jan; Speleers, Hendrik
17
2017
Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices. Zbl 1352.65501
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik
15
2017
Adaptive isogeometric analysis with hierarchical box splines. Zbl 1439.65177
Kanduč, Tadej; Giannelli, Carlotta; Pelosi, Francesca; Speleers, Hendrik
13
2017
Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness. Zbl 1361.65049
Roman, Fabio; Manni, Carla; Speleers, Hendrik
9
2017
Generalized B-splines in isogeometric analysis. Zbl 1385.65061
Manni, Carla; Roman, Fabio; Speleers, Hendrik
7
2017
Numerical approximation of GB-splines by a convolutional approach. Zbl 1372.65040
Roman, Fabio; Manni, Carla; Speleers, Hendrik
2
2017
Effortless quasi-interpolation in hierarchical spaces. Zbl 1335.65021
Speleers, Hendrik; Manni, Carla
42
2016
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Zbl 1335.65096
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
25
2016
Generalized spline spaces over T-meshes: dimension formula and locally refined generalized B-splines. Zbl 1410.65027
Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik
15
2016
On the dimension of Tchebycheffian spline spaces over planar T-meshes. Zbl 1418.41005
Bracco, Cesare; Lyche, Tom; Manni, Carla; Roman, Fabio; Speleers, Hendrik
9
2016
Standard and non-standard CAGD tools for isogeometric analysis: a tutorial. Zbl 1356.65052
Manni, Carla; Speleers, Hendrik
5
2016
Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. Zbl 1425.65136
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
52
2015
A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065
Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H.
41
2015
Robust and optimal multi-iterative techniques for Iga collocation linear systems. Zbl 1425.65196
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
35
2015
Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines. Zbl 1317.65055
Speleers, Hendrik; Manni, Carla
31
2015
Isogeometric collocation methods with generalized B-splines. Zbl 1443.65107
Manni, Carla; Reali, Alessandro; Speleers, Hendrik
25
2015
A family of smooth quasi-interpolants defined over Powell-Sabin triangulations. Zbl 1318.41007
Speleers, Hendrik
20
2015
A new B-spline representation for cubic splines over Powell-Sabin triangulations. Zbl 1417.65070
Speleers, Hendrik
16
2015
Two-grid optimality for Galerkin linear systems based on B-splines. Zbl 1388.65176
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
8
2015
BS2 methods for semi-linear second order boundary value problems. Zbl 1338.65190
Manni, Carla; Mazzia, Francesca; Sestini, Alessandra; Speleers, Hendrik
6
2015
Inner products of box splines and their derivatives. Zbl 1321.41010
Speleers, Hendrik
3
2015
Shape preserving \(HC^2\) interpolatory subdivision. Zbl 1328.65060
Lettieri, Davide; Manni, Carla; Pelosi, Francesca; Speleers, Hendrik
2
2015
Strongly stable bases for adaptively refined multilevel spline spaces. Zbl 1298.41010
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
70
2014
On the spectrum of stiffness matrices arising from isogeometric analysis. Zbl 1298.65172
Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik
41
2014
Local hierarchical \(h\)-refinements in IgA based on generalized B-splines. Zbl 1356.65035
Manni, Carla; Pelosi, Francesca; Speleers, Hendrik
14
2014
Piecewise rational quintic shape-preserving interpolation with high smoothness. Zbl 1379.41020
Lettieri, Davide; Manni, Carla; Speleers, Hendrik
2
2014
Convexity preserving \(C^0\) splines. Zbl 1298.41014
Schumaker, Larry L.; Speleers, Hendrik
1
2014
Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014
Speleers, Hendrik
57
2013
Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants. Zbl 1255.65038
Speleers, Hendrik
33
2013
From NURBS to NURPS geometries. Zbl 1297.65018
Speleers, Hendrik; Manni, Carla; Pelosi, Francesca
18
2013
THB-splines: The truncated basis for hierarchical splines. Zbl 1252.65030
Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik
223
2012
Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems. Zbl 1253.65026
Speleers, Hendrik; Manni, Carla; Pelosi, Francesca; Sampoli, M. Lucia
60
2012
Interpolation with quintic Powell-Sabin splines. Zbl 1241.65024
Speleers, Hendrik
10
2012
On multivariate polynomials in Bernstein-Bézier form and tensor algebra. Zbl 1233.65016
Speleers, Hendrik
9
2011
Convexity preserving splines over triangulations. Zbl 1229.65043
Schumaker, Larry L.; Speleers, Hendrik
6
2011
A normalized basis for quintic Powell-Sabin splines. Zbl 1210.65027
Speleers, Hendrik
44
2010
A normalized basis for reduced Clough-Tocher splines. Zbl 1210.65026
Speleers, Hendrik
32
2010
Nonnegativity preserving macro-element interpolation of scattered data. Zbl 1211.65017
Schumaker, Larry L.; Speleers, Hendrik
12
2010
On the local approximation power of quasi-hierarchical Powell-Sabin splines. Zbl 1274.65020
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
5
2010
Quasi-hierarchical Powell-Sabin B-splines. Zbl 1205.65056
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
23
2009
On the \(L_p\)-stability of quasi-hierarchical Powell-Sabin B-splines. Zbl 1154.41006
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
3
2008
Multigrid methods with Powell-Sabin splines. Zbl 1158.65084
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
2
2008
Weight control for modelling with NURPS surfaces. Zbl 1171.65353
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
8
2007
Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains. Zbl 1117.65026
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
6
2007
Numerical solution of partial differential equations with Powell-Sabin splines. Zbl 1086.65114
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
31
2006
Local subdivision of Powell–Sabin splines. Zbl 1093.65011
Speleers, Hendrik; Dierckx, Paul; Vandewalle, Stefan
5
2006
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Cited by 846 Authors

68 Speleers, Hendrik
42 Serra-Capizzano, Stefano
41 Manni, Carla
30 Hughes, Thomas J. R.
29 Jüttler, Bert
26 Garoni, Carlo
26 Giannelli, Carlotta
26 Zhang, Yongjie Jessica
19 Sangalli, Giancarlo
19 Toshniwal, Deepesh
17 Bracco, Cesare
17 Reali, Alessandro
17 Wei, Xiaodong
16 Buffa, Annalisa
16 Grošelj, Jan
16 Kapl, Mario
16 Rabczuk, Timon
13 Deng, Jiansong
13 Li, Xin
13 Mazza, Mariarosa
12 Donatelli, Marco
12 Lyche, Tom
12 Scott, Michael A.
12 Takacs, Stefan
12 Takacs, Thomas
12 Vazquez, Rafael
10 Anitescu, Cosmin
10 Casquero, Hugo
10 Chen, Falai
10 Evans, John A.
10 Hiemstra, René R.
10 Mantzaflaris, Angelos
10 Sestini, Alessandra
10 Tani, Mattia
10 Xu, Gang
9 Kiendl, Josef
9 Krajnc, Marjeta
9 Mourrain, Bernard
9 Pelosi, Francesca
9 Schillinger, Dominik
9 Tijini, Ahmed
9 Vitrih, Vito
8 Bogoya, Manuel
8 Serghini, Abdelhafid
7 Antolin, Pablo
7 Beccari, Carolina Vittoria
7 Casciola, Giulio
7 Cho, Durkbin
7 Lamnii, Abdellah
7 Lamnii, Mohamed
7 Langer, Ulrich
7 Möller, Matthias
7 Mraoui, Hamid
7 Niiranen, Jarkko
7 Pan, Qing
7 Pavarino, Luca Franco
7 Sampoli, Maria Lucia
7 Sande, Espen
7 Vuik, Cornelis
6 Auricchio, Ferdinando
6 Barbarino, Giovanni
6 Barrera, Domingo
6 Bordas, Stéphane Pierre Alain
6 Bui, Tinh Quoc
6 Ekström, Sven-Erik
6 Hennig, Paul
6 Kanduč, Tadej
6 Kang, Hongmei
6 Kästner, Markus
6 Klinkel, Sven
6 Kosinka, Jiří
6 Pan, Maodong
6 Peters, Jorg
6 Qian, Xiaoping
6 Rank, Ernst
6 Roman, Fabio
6 Van Brummelen, Harald
6 Vandewalle, Stefan G.
6 Yu, Tiantang
5 Carraturo, Massimo
5 D’Angella, Davide
5 Dierckx, Paul
5 Dokken, Tor
5 Falini, Antonella
5 Garau, Eduardo M.
5 Gómez, Héctor J.
5 Grudsky, Sergei Mikhailovich
5 Hofer, Christoph D.
5 Johannessen, Kjetil André
5 Kleiss, Stefan K.
5 Kollmannsberger, Stefan
5 Kvamsdal, Trond
5 Ma, Weiyin
5 Mokriš, Dominik
5 Montardini, Monica
5 Morgenstern, Philipp
5 Nkonga, Boniface
5 Sbibih, Driss
5 Scacchi, Simone
5 Sesana, Debora
...and 746 more Authors
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Cited in 88 Serials

201 Computer Methods in Applied Mechanics and Engineering
72 Computer Aided Geometric Design
44 Journal of Computational and Applied Mathematics
38 Computers & Mathematics with Applications
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Applied Mathematics and Computation
14 Computational Mechanics
14 Advances in Computational Mathematics
12 Journal of Computational Physics
11 BIT
9 Mathematics and Computers in Simulation
9 Numerical Linear Algebra with Applications
8 International Journal for Numerical Methods in Engineering
8 SIAM Journal on Scientific Computing
7 Numerische Mathematik
7 Applied Numerical Mathematics
7 Numerical Algorithms
7 Linear Algebra and its Applications
6 Mathematics of Computation
6 SIAM Journal on Numerical Analysis
5 Journal of Scientific Computing
5 Computational and Applied Mathematics
5 ETNA. Electronic Transactions on Numerical Analysis
4 Calcolo
4 SIAM Journal on Matrix Analysis and Applications
4 Applied Mathematical Modelling
4 Mathematics and Mechanics of Solids
4 Axioms
3 Meccanica
3 Constructive Approximation
3 Computing and Visualization in Science
3 European Journal of Mechanics. A. Solids
3 Journal of Systems Science and Complexity
3 GAMM-Mitteilungen
3 Communications in Mathematics and Statistics
3 SMAI Journal of Computational Mathematics
2 Applicable Analysis
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Numerical Methods for Partial Differential Equations
2 Neural Networks
2 Journal of Mathematical Sciences (New York)
2 Engineering Analysis with Boundary Elements
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Archives of Computational Methods in Engineering
2 Foundations of Computational Mathematics
2 Communications in Computational Physics
1 The Canadian Journal of Statistics
1 Computers and Fluids
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of the Mechanics and Physics of Solids
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 ACM Transactions on Mathematical Software
1 Integral Equations and Operator Theory
1 Journal of Approximation Theory
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Advances in Applied Mathematics
1 Applied Mathematics Letters
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 Filomat
1 Statistica Sinica
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 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 Acta Numerica
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Banach Journal of Mathematical Analysis
1 Communications in Theoretical Physics
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 Journal of Agricultural, Biological, and Environmental Statistics
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 International Journal of Applied and Computational Mathematics
1 Ural Mathematical Journal
1 Results in Applied Mathematics
1 Foundations of Data Science
1 Trends in Computational and Applied Mathematics
all top 5

Cited in 39 Fields

588 Numerical analysis (65-XX)
168 Approximations and expansions (41-XX)
139 Mechanics of deformable solids (74-XX)
61 Partial differential equations (35-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
33 Fluid mechanics (76-XX)
20 Computer science (68-XX)
18 Operator theory (47-XX)
9 Information and communication theory, circuits (94-XX)
8 Ordinary differential equations (34-XX)
8 Statistics (62-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Biology and other natural sciences (92-XX)
5 Real functions (26-XX)
5 Differential geometry (53-XX)
5 Optics, electromagnetic theory (78-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 General and overarching topics; collections (00-XX)
4 Operations research, mathematical programming (90-XX)
3 Commutative algebra (13-XX)
3 Potential theory (31-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-XX)
2 Measure and integration (28-XX)
2 General topology (54-XX)
2 Probability theory and stochastic processes (60-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Number theory (11-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of particles and systems (70-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)

Citations by Year