H. Speleers

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Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis considerations

T. Hughes, D. Toshniwal, H. Speleers, 2017 .

Robust and optimal multi-iterative techniques for IgA Galerkin linear systems

Hendrik Speleers, Carla Manni, Marco Donatelli, 2015 .

Robust and optimal multi-iterative techniques for IgA Galerkin linear systems This is a preprint of a paper published in Comput. Methods Appl. Mech. Engrg. 284 (2015) 230264.

Hendrik Speleers, Carla Manni, Marco Donatelli, 2015 .

Multi-degree smooth polar splines: A framework for geometric modeling and isogeometric analysis

Hendrik Speleers, Thomas J. R. Hughes, Deepesh Toshniwal, 2017 .

Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence

Hendrik Speleers, Carla Manni, Espen Sande, 2018, Mathematical Models and Methods in Applied Sciences.

Numerical solution of partial differential equations with Powell-Sabin splines

Hendrik Speleers, Stefan Vandewalle, Paul Dierckx, 2006 .

ExSpliNet: An interpretable and expressive spline-based neural network

H. Speleers, Daniele Fakhoury, Emanuele Fakhoury, 2022, Neural Networks.

Isogeometric discretizations with generalized B-splines: Symbol-based spectral analysis

Hendrik Speleers, Carla Manni, Carlo Garoni, 2021 .

B-Splines and Spline Approximation

T. Lyche, H. Speleers, C. Manni, 2017 .

On the graphical display of Powell-Sabin splines: a comparison of three piecewise linear approximations

P. Dierckx, S. Vandewalle, H. Speleers, 2008 .

Inner products of box splines and their derivatives

H. Speleers, 2015 .

Spectral analysis of matrices in isogeometric collocation methods

Hendrik Speleers, Carla Manni, Marco Donatelli, 2014 .

ICES REPORT 1501 January 2015 A locking-free model for Reissner-Mindlin plates : Analysis and isogeometric implementation via NURBS and triangular NURPS by

T. Hughes, A. Reali, H. Speleers, 2022 .

Numerical approximation of GB-splines by a convolutional approach

H. Speleers, C. Manni, F. Roman, 2017 .

Oden Institute REPORT 1908 May 2019 A Tchebycheffian Extension of Multi-Degree B-Splines : Algorithmic Computation and Properties by

T. Hughes, D. Toshniwal, H. Speleers, 2022 .

ICES REPORT 16-17 June 2016 Multi-degree C ^ k smooth polar splines : a framework for design and analysis by

T. Hughes, D. Toshniwal, H. Speleers, 2022 .

Shape preserving $$HC^2$$HC2 interpolatory subdivision

H. Speleers, C. Manni, F. Pelosi, 2015 .

Computer aided geometric design with Powell-Sabin splines

P. Dierckx, S. Vandewalle, H. Speleers, 2007 .

Isogeometric analysis with Powell-Sabin splines

H. Speleers, 2012 .

Best low-rank approximations and Kolmogorov n-widths

M. Floater, H. Speleers, C. Manni, 2020, SIAM J. Matrix Anal. Appl..

Spectral Analysis of Isogeometric Discretizations of 2D Curl-Div Problems with General Geometry

H. Speleers, C. Manni, M. Mazza, 2020, Lecture Notes in Computational Science and Engineering.

Smooth spline spaces on unstructured quadrilateral meshes for isogeometric analysis

T. Hughes, D. Toshniwal, H. Speleers, 2017 .

A Family of Smooth Quasi-interpolants Defined Over Powell–Sabin Triangulations

H. Speleers, 2014, Constructive Approximation.

Tchebycheffian B-splines in isogeometric Galerkin methods

H. Speleers, C. Manni, K. Raval, 2022, Computer Methods in Applied Mechanics and Engineering.

Effortless quasi-interpolation in hierarchical spaces

H. Speleers, C. Manni, 2015, Numerische Mathematik.

Hierarchical spline spaces: quasi-interpolants and local approximation estimates

H. Speleers, 2016, Advances in Computational Mathematics.

On the spectrum of stiffness matrices arising from isogeometric analysis

S. Serra-Capizzano, H. Speleers, C. Manni, 2013, Numerische Mathematik.

Strongly stable bases for adaptively refined multilevel spline spaces

H. Speleers, B. Jüttler, Carlotta Giannelli, 2013, Advances in Computational Mathematics.

Symbol-Based Analysis of Finite Element and Isogeometric B-Spline Discretizations of Eigenvalue Problems: Exposition and Review

Hendrik Speleers, Alessandro Reali, Thomas J. R. Hughes, 2019, Archives of Computational Methods in Engineering.

Local adaptive approximation with QHPS splines

Hendrik Speleers, Stefan Vandewalle, Paul Dierckx, 2007 .

Ritz-type projectors with boundary interpolation properties and explicit spline error estimates

H. Speleers, C. Manni, Espen Sande, 2021, Numerische Mathematik.

Hierarchical spline spaces: quasi-interpolants and local approximation estimates

Hendrik Speleers, H. Speleers, 2017, Adv. Comput. Math..

Effortless quasi-interpolation in hierarchical spaces

Hendrik Speleers, Carla Manni, H. Speleers, 2016, Numerische Mathematik.

Foundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement

Tom Lyche, Hendrik Speleers, Carla Manni, 2018 .

A normalized basis for quintic Powell-Sabin splines

Hendrik Speleers, H. Speleers, 2010, Comput. Aided Geom. Des..

A Family of Smooth Quasi-interpolants Defined Over Powell–Sabin Triangulations

Hendrik Speleers, H. Speleers, 2015 .

Construction of Normalized B-Splines for a Family of Smooth Spline Spaces Over Powell–Sabin Triangulations

Hendrik Speleers, H. Speleers, 2013 .

Construction of Normalized B-Splines for a Family of Smooth Spline Spaces Over Powell–Sabin Triangulations

H. Speleers, 2012, Constructive approximation.

Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains

Hendrik Speleers, Stefan Vandewalle, Paul Dierckx, 2007 .

On multivariate polynomials in Bernstein-Bézier form and tensor algebra

Hendrik Speleers, H. Speleers, 2011, J. Comput. Appl. Math..

A normalized basis for reduced Clough-Tocher splines

Hendrik Speleers, H. Speleers, 2010, Comput. Aided Geom. Des..

Quasi-hierarchical Powell-Sabin B-splines

Hendrik Speleers, Stefan Vandewalle, Paul Dierckx, 2009, Comput. Aided Geom. Des..

Splines over regular triangulations in numerical simulation

Hendrik Speleers, Carla Manni, Francesca Pelosi, 2017, Comput. Aided Des..

On the dimension of Tchebycheffian spline spaces over planar T-meshes

Tom Lyche, Hendrik Speleers, Carla Manni, 2016, Comput. Aided Geom. Des..

Multigrid methods with Powell–Sabin splines

Hendrik Speleers, Stefan Vandewalle, Paul Dierckx, 2008 .

Construction of C2 cubic splines on arbitrary triangulations pdf

Tom Lyche, Hendrik Speleers, Carla Manni, 2021, Found. Comput. Math..

Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces

Hendrik Speleers, Clemens Hofreither, Ludwig Mitter, 2021 .

Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations pdf

Hendrik Speleers, Carla Manni, Espen Sande, 2021, Computer Methods in Applied Mechanics and Engineering.

A general class of C1 smooth rational splines: Application to construction of exact ellipses and ellipsoids

Hendrik Speleers, Deepesh Toshniwal, D. Toshniwal, 2020, Comput. Aided Des..

NURBS in isogeometric discretization methods: A spectral analysis

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2020, Numer. Linear Algebra Appl..

Adaptive refinement with locally linearly independent LR B-splines: Theory and applications

H. Speleers, C. Manni, F. Pelosi, 2020, ArXiv.

A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties

Hendrik Speleers, Carla Manni, Thomas J. R. Hughes, 2020, Comput. Aided Geom. Des..

Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis

Xin Li, Hendrik Speleers, Carla Manni, 2018, Computer Methods in Applied Mechanics and Engineering.

Adaptive isogeometric analysis with hierarchical box splines

Hendrik Speleers, Francesca Pelosi, Carlotta Giannelli, 2017, 1805.01624.

Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2017, SIAM J. Numer. Anal..

Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness

Hendrik Speleers, Carla Manni, Fabio Roman, 2017, Numerische Mathematik.

Analysis-suitable spline spaces of arbitrary degree on unstructured quadrilateral meshes by

Hendrik Speleers, Thomas J. R. Hughes, Deepesh Toshniwal, 2017 .

Generalized B-Splines in Isogeometric Analysis

Hendrik Speleers, Carla Manni, H. Speleers, 2016 .

Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness

H. Speleers, C. Manni, F. Roman, 2016, Numerische Mathematik.

Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines

Tom Lyche, Hendrik Speleers, Carla Manni, 2016, Appl. Math. Comput..

Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines

Hendrik Speleers, Carla Manni, H. Speleers, 2015, J. Comput. Appl. Math..

Isogeometric collocation methods with generalized B-splines

Hendrik Speleers, Carla Manni, Alessandro Reali, 2015, Comput. Math. Appl..

Two-grid optimality for Galerkin linear systems based on B-splines

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2015, Comput. Vis. Sci..

A locking-free model for Reissner-Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS

Hendrik Speleers, Alessandro Reali, Thomas J. R. Hughes, 2015 .

Spectral analysis of matrices in IgA Galerkin methods with GB-splines

H. Speleers, C. Manni, F. Roman, 2015 .

On the spectrum of stiffness matrices arising from isogeometric analysis

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2014, Numerische Mathematik.

Strongly stable bases for adaptively refined multilevel spline spaces

Hendrik Speleers, Bert Jüttler, Carlotta Giannelli, 2014, Adv. Comput. Math..

From NURBS to NURPS geometries

Hendrik Speleers, Carla Manni, Francesca Pelosi, 2013 .

Local Hierarchical h-Refinements in IgA Based on Generalized B-Splines

Hendrik Speleers, Carla Manni, Francesca Pelosi, 2012, MMCS.

Isogeometric analysis with Powell–Sabin splines for advection–diffusion–reaction problems

Hendrik Speleers, Carla Manni, Francesca Pelosi, 2012 .

ICES REPORT 18-22 November 2018 Multi-degree B-splines : Algorithmic computation and properties by

Hendrik Speleers, Carla Manni, Thomas J. R. Hughes, 2022 .

Local subdivision of Powell-Sabin splines

Hendrik Speleers, Stefan Vandewalle, Paul Dierckx, 2006, Comput. Aided Geom. Des..

THB-splines: The truncated basis for hierarchical splines

Hendrik Speleers, Bert Jüttler, Carlotta Giannelli, 2012, Comput. Aided Geom. Des..

Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2017, Math. Comput..

Spectral analysis and spectral symbol of matrices in isogeometric collocation methods

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2015, Math. Comput..

Isogeometric analysis for 2D and 3D curl–div problems: Spectral symbols and fast iterative solvers

Hendrik Speleers, Carla Manni, Ahmed Ratnani, 2018, Computer Methods in Applied Mechanics and Engineering.

Construction and analysis of cubic Powell-Sabin B-splines

Hendrik Speleers, Jan Groselj, H. Speleers, 2017, Comput. Aided Geom. Des..

Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision

Hendrik Speleers, Jan Grošelj, H. Speleers, 2021, J. Comput. Appl. Math..

Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines pdf

Hendrik Speleers, H. Speleers, 2021, ACM Trans. Math. Softw..

Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis

H. Speleers, C. Manni, Espen Sande, 2020, Numerische Mathematik.

Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis

H. Speleers, C. Manni, Espen Sande, 2019, Numerische Mathematik.

Multivariate normalized Powell-Sabin B-splines and quasi-interpolants

Hendrik Speleers, H. Speleers, 2013, Comput. Aided Geom. Des..

Three recipes for quasi-interpolation with cubic Powell-Sabin splines

Hendrik Speleers, Jan Groselj, H. Speleers, 2018, Comput. Aided Geom. Des..

Algorithm 999

Hendrik Speleers, H. Speleers, 2019, ACM Transactions on Mathematical Software.

Computation of multi-degree B-splines

Hendrik Speleers, H. Speleers, 2018, 1809.01598.

On the matrices in B‐spline collocation methods for Riesz fractional equations and their spectral properties pdf

Hendrik Speleers, Carla Manni, Marco Donatelli, 2021, Numer. Linear Algebra Appl..

Spectral analysis of matrices from isogeometric Galerkin and collocation methods

S. Serra-Capizzano, H. Speleers, C. Manni, 2014 .

Are the eigenvalues of the B‐spline isogeometric analysis approximation of −Δu = λu known in almost closed form?

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2018, Numer. Linear Algebra Appl..

Lusin theorem, GLT sequences and matrix computations: An application to the spectral analysis of PDE discretization matrices

Hendrik Speleers, Carla Manni, Carlo Garoni, 2017 .

Spectral analysis of matrices resulting from isogeometric immersed methods and trimmed geometries

H. Speleers, C. Manni, F. Pelosi, 2022, Computer Methods in Applied Mechanics and Engineering.

Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems

H. Speleers, C. Manni, Espen Sande, 2023, Computer Methods in Applied Mechanics and Engineering.

Standard and Non-standard CAGD Tools for Isogeometric Analysis: A Tutorial

Hendrik Speleers, Carla Manni, H. Speleers, 2016 .

Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces

H. Speleers, C. Hofreither, Ludwig Mitter, 2021, IMA Journal of Numerical Analysis.