Research

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Publications

Papers with Peer Review

• C. Giannelli, B. Jüttler and H. Speleers, THB-splines: the truncated basis for hierarchical splines,
  Computer Aided Geometric Design, in press.
  
• H. Speleers, Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations,
  Constructive Approximation, in press.
  
• H. Speleers, C. Manni, F. Pelosi and M.L. Sampoli, Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems,
  Computer Methods in Applied Mechanics and Engineering 221-222(1), pp. 132-148, 2012.
  
• H. Speleers, Interpolation with quintic Powell-Sabin splines,
  Applied Numerical Mathematics 62(5), pp. 620-635, 2012.
  
• H. Speleers, On multivariate polynomials in Bernstein-Bézier form and tensor algebra,
  Journal of Computational and Applied Mathematics 236(4), pp. 589-599, 2011.
  
• L.L. Schumaker and H. Speleers, Convexity preserving splines over triangulations,
  Computer Aided Geometric Design 28(4), pp. 270-284, 2011.
  
• H. Speleers, A normalized basis for reduced Clough-Tocher splines,
  Computer Aided Geometric Design 27(9), pp. 700-712, 2010.
  
• H. Speleers, A normalized basis for quintic Powell-Sabin splines,
  Computer Aided Geometric Design 27(6), pp. 438-457, 2010.
• L.L. Schumaker and H. Speleers, Nonnegativity preserving macro-element interpolation of scattered data,
  Computer Aided Geometric Design 27(3), pp. 245-261, 2010.
  
• H. Speleers, P. Dierckx and S. Vandewalle, On the local approximation power of quasi-hierarchical Powell-Sabin splines,
  In M. Dæhlen, M.S. Floater, T. Lyche, J.L. Merrien, K. Mørken and L.L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces,
  Lecture Notes in Computer Science 5862, pp. 419-433, 2010.
  
• H. Speleers, P. Dierckx and S. Vandewalle, Quasi-hierarchical Powell-Sabin B-splines,
  Computer Aided Geometric Design 26(2), pp. 174-191, 2009.
  
• H. Speleers, P. Dierckx and S. Vandewalle, On the L_p-stability of quasi-hierarchical Powell-Sabin B-splines,
  In M. Neamtu and L.L. Schumaker (eds.), Approximation Theory XII, Nashboro Press, pp. 398-413, 2008.
  
• H. Speleers, P. Dierckx and S. Vandewalle, Multigrid methods with Powell-Sabin splines,
  IMA Journal of Numerical Analysis 28(4), pp. 888-908, 2008.
  
• H. Speleers, P. Dierckx and S. Vandewalle, Weight control for modelling with NURPS surfaces,
  Computer Aided Geometric Design 24(3), pp. 179-186, 2007.
  
• H. Speleers, P. Dierckx and S. Vandewalle, Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains,
  Journal of Computational and Applied Mathematics 206(1), pp. 55-72, 2007.
  
• H. Speleers, P. Dierckx and S. Vandewalle, Local subdivision of Powell-Sabin splines,
  Computer Aided Geometric Design 23(5), pp. 446-462, 2006.
  
• H. Speleers, P. Dierckx and S. Vandewalle, Numerical solution of partial differential equations with Powell-Sabin splines,
  Journal of Computational and Applied Mathematics 189(1-2), pp. 643-659, 2006.
  

Book Chapters

• H. Speleers, P. Dierckx and S. Vandewalle, Computer aided geometric design with Powell-Sabin splines,
  In J.S. Wright and L.M. Hughes (eds.), Computer Animation,
  Nova Science Publishers, pp. 177-208, 2011.
  
• H. Speleers, P. Dierckx and S. Vandewalle, Computer aided geometric design with Powell-Sabin splines,
  In C.M. De Smet and J.A. Peeters (eds.), Computer-Aided Design and Other Computing Research Developments,
  Nova Science Publishers, pp. 319-350, 2009.
  

Other Publications

• H. Speleers, Construction, analysis and application of Powell-Sabin spline finite elements,
  Ph.D. Thesis, Dept. of Computer Science, K.U.Leuven, 2008.
• H. Speleers, Numerical simulation using Powell-Sabin splines,
  M.Sc. Thesis, Dept. of Computer Science, K.U.Leuven, 2004. (in Dutch)
  

Travelling

Research Visits

• November, 2011 - February, 2012. Department of Mathematics at the Università di Roma “Tor Vergata”, Rome, Italy.
• October, 2011. Department of Informatics, at the Karlsruher Institut für Technologie, Karlsruhe, Germany.
• May, 2011. Institut für Angewandte Geometrie at the Johannes Kepler Universität, Linz, Austria.
• March-April, 2011. Department of Mathematics at the Università di Roma “Tor Vergata”, Rome, Italy.
• November, 2010. Department of Mathematics at the Università di Roma “Tor Vergata”, Rome, Italy.
• September, 2009 - June, 2010. Center for Constructive Approximation at the Vanderbilt University, Nashville, Tennessee, USA.
• September - October, 2008. Center for Constructive Approximation at the Vanderbilt University, Nashville, Tennessee, USA.

Conferences and Other Events

• July 9-13, 2012. International Congress on Computational and Applied Mathematics, Gent, Belgium.
• June 28 - July 3, 2012. Eighth International Conference on Mathematical Methods for Curves and Surfaces, Oslo, Norway.
• June 18-22, 2012. CIME-EMS Summer School: Isogeometric Analysis: a New Paradigm in the Numerical Approximation of PDEs, Cetraro, Italy.
• March 12-16, 2012. Isogeometric Analysis and Applications, Linz, Austria.
• February 12-17, 2012. New Trends in Applied Geometry, Villa Cagnola, Italy.
• October 24-27, 2011. SIAM Conference on Geometric and Physical Modeling, Orlando, Florida, USA.
• September 27-30, 2011. Fall School on Shapes, Geometry, and Algebra, Vilnius, Lithuania.
• September 24-27, 2011. International Conference on Multivariate Approximation, Hagen, Germany.
• June 20-24, 2011. Conference on Geometry – Theory and Applications, Vorau, Austria.
• May 17-21, 2011. International Symposium in Approximation Theory, Nashville, Tennessee, USA.
• February 20-25,2011. New Trends in Applied Geometry, Hurdal, Norway.
• October 6-8, 2010. The Thirty-fifth Woudschoten Conference, Zeist, The Netherlands.
• September 6-10, 2010. Multivariate Approximation and Interpolation with Applications, Edinburgh, UK.
• July 5-9, 2010. International Congress on Computational and Applied Mathematics, Leuven, Belgium.
• June 24-30, 2010. Seventh International Conference on Curves and Surfaces, Avignon, France.
• May 17-20, 2010. Optimal Configurations on the Sphere and Other Manifolds, Nashville, Tennessee, USA.
• March 7-10, 2010. Thirteenth International Conference on Approximation Theory, San Antonio, Texas, USA.
• October 9-10, 2009. SIAM Conference on Mathematics for Industry: Challenges and Frontiers, San Francisco, California, USA.
• October 5-8, 2009. SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, California, USA.
• December 15-16, 2008. Rolling Waves 2008, Leuven, Belgium.
• June 26 - July 1, 2008. Seventh International Conference on Mathematical Methods for Curves and Surfaces, Tønsberg, Norway.
• May 27, 2008. Symposium on "Wavelets in the presence and in the future", Hasselt, Belgium.
• February 29, 2008. Gene Golub Around the World Commemoration Event, Leuven, Belgium.
• November 4-8, 2007. Tenth SIAM Conference on Geometric Design & Computing, San Antonio, Texas, USA.
• October 29-30, 2007. Symposium on "The Birth of Numerical Analysis", Leuven, Belgium.
• October 3-5, 2007. Thirty-second Conference of the Dutch-Flemish Numerical Analysis Communities, Zeist, The Netherlands.
• March 4-8, 2007. Twelfth International Conference on Approximation Theory, San Antonio, Texas, USA.
• October 11-13, 2006. Thirty-first Conference of the Dutch-Flemish Numerical Analysis Communities, Zeist, The Netherlands.
• July 10-14, 2006. Twelfth International Congress on Computational and Applied Mathematics, Leuven, Belgium.
• June 29 - July 5, 2006. Sixth International Conference on Curves and Surfaces, Avignon, France.
• October 30 - November 3, 2005. Ninth SIAM Conference on Geometric Design & Computing, Phoenix, Arizona, USA.
• October 12-14, 2005. Thirtieth Conference of the Dutch-Flemish Numerical Analysis Communities, Zeist, The Netherlands.
• June 28 - July 1, 2005. Twenty-first Biennial Conference on Numerical Analysis, Dundee, UK.
• November 17-18, 2004. WOG symposium on Software Environments for Numerical Problems, Ghent, Belgium.
• October 6-8, 2004. Twenty-ninth Conference of the Dutch-Flemish Numerical Analysis Communities, Zeist, The Netherlands.
• July 26-30, 2004. Eleventh International Congress on Computational and Applied Mathematics, Leuven, Belgium.

Presentations

• March 12, 2012. H. Speleers, C. Manni, F. Pelosi. Isogeometric analysis: from a NURBS to a NURPS geometry,
  Isogeometric Analysis and Applications, Linz, Austria.
• February 14, 2012. H. Speleers. Quasi-interpolation based on Powell-Sabin B-splines and their multivariate generalization,
  New Trends in Applied Geometry, Villa Cagnola, Italy.
• January 27, 2012. H. Speleers. Quasi-interpolation based on Powell-Sabin B-splines and their multivariate generalization,
  Università di Firenze, Florence, Italy.
• October 27, 2011. H. Speleers, C. Manni, F. Pelosi and M.L. Sampoli. On the use of Powell-Sabin B-splines for local refinement in advection-diffusion-reaction problems,
  SIAM Conference on Geometric and Physical Modeling, Orlando, Florida, USA.
• October 13, 2011. H. Speleers. Convex polynomials and splines,
  Informatik-Sonderkolloquium, Karlsruher Institut für Technologie, Karlsruhe, Germany.
• September 29, 2011. H. Speleers, C. Manni, F. Pelosi and M.L. Sampoli. Numerical solution of PDEs using Powell-Sabin B-splines,
  Fall School on Shapes, Geometry, and Algebra, Vilnius, Lithuania.
• September 26, 2011. H. Speleers, C. Giannelli and B. Jüttler. Normalized hierarchical B-splines,
  International Conference on Multivariate Approximation, Hagen, Germany.
• June 20, 2011. H. Speleers, C. Manni, F. Pelosi and M.L. Sampoli. Numerical solution of advection-diffusion-reaction problems with Powell-Sabin B-splines,
  Conference on Geometry – Theory and Applications, Vorau, Austria.
• May 20, 2011. H. Speleers and L.L. Schumaker. Convexity preserving splines on triangulations,
  International Symposium in Approximation Theory, Nashville, Tennessee, USA.
• May 5, 2011. H. Speleers. Numerical solution of PDEs using Powell-Sabin B-splines,
  Institut für Angewandte Geometrie, Johannes Kepler Universität, Linz, Austria.
• March 29, 2011. H. Speleers. Convex splines over triangulations,
  Università di Roma “Tor Vergata”, Rome, Italy.
• February 22, 2011. H. Speleers. On the use of Powell-Sabin B-splines for the numerical solution of PDEs,
  New Trends in Applied Geometry, Hurdal, Norway.
• September 7, 2010. H. Speleers. Constructing a normalized basis for splines on Powell-Sabin triangulations,
  Multivariate Approximation and Interpolation with Applications, Edinburgh, UK.
• June 29, 2010. H. Speleers. The construction of normalized B-splines defined on Powell-Sabin triangulations,
  Seventh International Conference on Curves and Surfaces, Avignon, France.
• April 30, 2010. H. Speleers. Convex splines over triangulations,
  Computational Analysis Seminar, Center for Constructive Approximation, Vanderbilt University, Nashville, Tennessee, USA.
• March 10, 2010. H. Speleers and L.L. Schumaker. Convexity of spline functions on triangulations,
  Thirteenth International Conference on Approximation Theory, San Antonio, Texas, USA.
• October 30, 2009. H. Speleers. Nonnegativity preserving macro-element interpolation,
  Computational Analysis Seminar, Center for Constructive Approximation, Vanderbilt University, Nashville, Tennessee, USA.
• October 6, 2009. H. Speleers and L.L. Schumaker. Nonnegativity preserving macro-element interpolation,
  SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, California, USA.
• September 16, 2008. H. Speleers. From PS splines to QHPS splines,
  Computational Analysis Seminar, Center for Constructive Approximation, Vanderbilt University, Nashville, Tennessee, USA.
• June 30, 2008. H. Speleers, P. Dierckx and S. Vandewalle. From PS splines to QHPS splines,
  Seventh International Conference on Mathematical Methods for Curves and Surfaces, Tønsberg, Norway.
• January 21, 2008. H. Speleers. Local adaptive approximation with QHPS splines,
  Doctoral seminar in course H0P47A: Numerical Simulation, Leuven, Belgium.
• November 8, 2007. H. Speleers, P. Dierckx and S. Vandewalle. Local adaptive approximation with QHPS splines,
  Tenth SIAM Conference on Geometric Design & Computing, San Antonio, Texas, USA.
• March 6, 2007. H. Speleers, P. Dierckx and S. Vandewalle. On the stability of quasi-hierarchical Powell-Sabin B-splines,
  Twelfth International Conference on Approximation Theory, San Antonio, Texas, USA.
• July 10, 2006. H. Speleers, P. Dierckx and S. Vandewalle. Normalized hierarchical Powell-Sabin B-splines,
  Twelfth International Congress on Computational and Applied Mathematics, Leuven, Belgium.
• November 17, 2005. H. Speleers. A local subdivision scheme for Powell-Sabin splines,
  Doctoral seminar in course H0P47A: Numerical Simulation, Leuven, Belgium.
• November 1, 2005. H. Speleers, P. Dierckx and S. Vandewalle. A local subdivision scheme for Powell-Sabin splines,
  Ninth SIAM Conference on Geometric Design & Computing, Phoenix, Arizona, USA.
• October 13, 2005. H. Speleers. Numerical simulation with Powell-Sabin spline finite elements (Poster),
  Thirtieth Conference of the Dutch-Flemish Numerical Analysis Communities, Zeist, The Netherlands.
• June 29, 2005. H. Speleers, P. Dierckx and S. Vandewalle. Powell-Sabin splines with boundary conditions,
  Twenty-first Biennial Conference on Numerical Analysis, Dundee, UK.
• April 20, 2005. H. Speleers. Powell-Sabin splines (Poster),
  Faculty of Engineering PhD Symposium, Leuven, Belgium.
• July 28, 2004. H. Speleers, P. Dierckx and S. Vandewalle. Numerical solution of partial differential equations with Powell-Sabin splines,
  Eleventh International Congress on Computational and Applied Mathematics, Leuven, Belgium.

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This page is maintained by Hendrik Speleers
URL: http://people.cs.kuleuven.be/~hendrik.speleers/research/research.html