Publications

Books

• K. Höllig, J.Hörner: Approximation and Modeling with B-Splines. Other Titles in Applied Mathematics 132, SIAM, 2013.

• K. Höllig: Finite Element Methods with B-Splines. Frontiers in Applied Mathematics 26, SIAM, 2003.

Patents

• K. Höllig, U. Reif, J. Wipper: Verfahren zur Erhöhung der Leistungsfähigkeit einer Computereinrichtung bei Finite-Elemente-Simulationen und eine solche Computereinrichtung. DE 10023377C2, 2003 - expired -.

Software

• CwBS-1.0: Collocation with WEB-Splines, MATLAB Programs and Demos (see Terms of use)

• Approximation and Modeling with B-Splines: Supplementary Material

• Finite Element Methods with B-Splines: Supplementary Material

Papers

• K. Höllig, U. Reif, J. Wipper: Weighted extended b-spline approximation of Dirichlet problems. SIAM Journal on Numerical Analysis, Volume 39, Number 2, pp. 442-462, 2001.

• K. Höllig, U. Reif, J. Wipper: Error estimates for the web-method. In: Mathematical Methods for Curves and Surfaces: Oslo 2000. T. Lyche und L.L. Schumaker (eds.), pp. 195-209, Vanderbilt University Press, Nashville, TN, 2001.

• K. Höllig, U. Reif, J. Wipper: B-Spline approximation of Neumann problems. Mathematisches Institut A, University of Stuttgart, Preprint 2001-2.

• K. Höllig, U. Reif, J. Wipper: Multigrid methods with web-splines. Numerische Mathematik, Volume 91, Number 2, pp. 237-256, 2002.

• K. Höllig: Finite Element Approximation with Splines. In: Handbook of Computer Aided Geometric Design. G. Farin, J. Hoschek, and M.S. Kim (eds.), pp. 283-308, Elsevier, 2002.

• K. Höllig, J. Hörner, A. Kopf: Web-spline Methods for Linear Elasticity. In: Curve and Surface Fitting: Saint-Malo 2002. A. Cohen, J.-L. Merrien, and L.L. Schumaker (eds.), pp. 219-228, Nashboro Press, Brentwood, 2003.

• K. Höllig, U. Reif: Nonuniform Web-Splines. Computer Aided Geometric Design, Volume 20, Issue 5, pp. 277-294, 2003.

• K. Höllig, J. Wipper: Finite-Element-Methoden mit B-Splines. In: Universitätsbroschüre Simulation und Visualisierung, Universität Stuttgart, 2003.

• K. Höllig, C. Apprich, A. Streit: Introduction to the Web-method and its applications. Advances in Computational Mathematics, Volume 23, pp. 215-237, 2005.

• K. Höllig, J. Hörner, M. Pfeil: Parallel Finite Element Methods with Weighted Linear B-Splines., In: High Performance Computing, Nagel, Kröner, Resch (eds.), pp. 667-676, Springer-Verlag, 2008.

• K. Höllig, J. Hörner: Programming Multigrid Methods with B-Splines. Stuttgarter Mathematische Berichte 2011-016, 2011.

• K. Höllig, J. Hörner, A. Hoffacker: Finite Element Analysis with b-splines: weighted and isogeometric methods. LNCS, Volume 6920, Springer-Verlag, 2012.

• C. Apprich, K. Höllig, J. Hörner, U.Reif: Collocation with WEB-Splines., Advances in Computational Mathematics, pp. 1-20, Springer, 2016.

Dissertations

• J. Wipper: Finite-Elemente-Approximation mit WEB-Splines. Shaker Verlag, 2005.

• B. Mößner: B-Splines als Finite Elemente. Shaker Verlag, 2006.

• M. Pfeil: WEB-Approximation elliptischer Eigenwertprobleme. 2007.

• S. Kreitz: WEB-Approximation auf CSG-Objekten. 2008.

• M. Mustahsan: Finite Element Methods with Hierarchical WEB-splines. 2011.

• A. Keller: B-Spline-Approximation elliptischer Randwertprobleme mit unstetigen Koeffizienten. 2013.

• C. Apprich: Approximation mit WEB-Splines auf ebenen Gebieten mit Ecken. Shaker Verlag, 2014.

Lectures

• U. Reif: WEB-spline approximation of elliptic boundary value problems. Fifth International Conference on Mathematical Methods for Curves and Surfaces (CAGD2000), July 4, 2000, Oslo, Norway.
  (Screencopies of the computer demo can be found here.)

• U. Reif: WEB-spline approximation of elliptic boundary value problems. Max-Planck-Institut Leipzig, February 20, 2001, Leipzig, Germany.

• U. Reif: WEB-spline approximation of elliptic boundary value problems. Universität Dortmund, July 2, 2001, Dortmund, Germany.

• K. Höllig: Finite Element Methods with B-Splines. Fifth International Conference on Curves and Surfaces, June 27, 2002, Saint-Malo, France.

• K. Höllig: The WEB-Method. Meeting: Mathematische Methoden der Geometrischen Datenverarbeitung, October 24, 2002, Oberwolfach, Germany.

• K. Höllig, J. Wipper: The WEB-Method. Workshop: Industry Challenges in Geometric Modeling in CAD, March 17, 2004, Darmstadt, Germany.
  (Screencopies of the computer demo can be found here.)

• J. Wipper: Finite-Elemente-Approximation mit WEB-Splines. Universität Stuttgart, July 11, 2005, Stuttgart, Germany.
  

• K. Höllig: Finite Element Methods with Linear B-Splines. Sixth International Conference on Curves and Surfaces, July 5, 2006, Avignon, France.

• U. Reif: B-Splines as Finite Elements. 7th World Congress on Computational Mechanics, July 17, 2006, Los Angeles, California

• K. Höllig: Finite Element Methods with WEB-Splines. February 15, 2007, Oslo

• K. Höllig, J. Hörner, M. Pfeil: Parallel Finite Element Methods with Weighted Linear B-Splines. October 5, 2007, Stuttgart

• K. Höllig: Finite Element Methods with WEB-Splines. June 30, 2009, Göttingen

• K. Höllig: Finite Element Analysis with B-Splines: Weighted and Isogeometric Methods. Seventh International Conference on Curves and Surfaces, June 28, 2010, Avignon, France.

• C. Apprich, K. Höllig, J. Hörner, A. Keller, and E. Nava Yazdani: Approximation and Modeling with Hierarchical B-Splines. Eighth International Conference on Curves and Surfaces, June 23, 2014, Paris, France.

• K. Höllig, J. Hörner: Programming Finite Element Methods with B-Splines. Sixth International Workshop on High-Order Finite Element and Isogeometric Methods, July 18, 2014, Frauenchiemsee Island, Germany.

Last modification: 2016/05/13 .