Dr. Mario Kapl

< back
Mario Kapl

Peer Reviewed Journal Publication
  • Kapl, Mario; Vitrih, Vito (2019) Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis. Journal of Computational and Applied Mathematics, Bd. 358, S. 385-404.
  • Birner, Katharina; Kapl, Mario (2019) The space of C1-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains. Computer Aided Geometric Design, Bd. 70, S. 16-30.
  • Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas (2019) An isogeometric C1 subspace on unstructured multi-patch planar domains. Computer Aided Geometric Design, Bd. 69, S. 55-75.
  • Kapl, Mario; Vito, Vitrih (2018, online: 2017) Dimension and basis construction for C2-smooth isogeometric spline spaces over bilinear-like G2 two-patch parameterizations. Journal of Computational and Applied Mathematics, Bd. 335, S. 289-311.
  • Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas (2018, online: 2017) Construction of analysis-suitable G1 planar multi-patch parameterizations. Computer-Aided Design, Bd. 97, S. 41-55.
  • Kapl, Mario; Vitrih, Vito (2017) Space of C2-smooth geometrically continuous isogeometric functions on planar multi-patch geometries: Dimension and numerical experiments. Computers & Mathematics with Applications, Bd. 73 (10), S. 2319-2338.
  • Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas (2017) Dimension and basis construction for analysis-suitable G1 two-patch parameterizations. Computer aided Geometric Design, Bd. 52-53, S. 75-89.
  • Kapl, Mario; Vitrih, Vito (2017, online: 2016) Space of C2-smooth geometrically continuous isogeometric functions on two-patch geometries. Computers & Mathematics with Applications, Bd. 73 (1), S. 37–59.
  • Kapl, M., Buchegger, F., Bercovier, M., Jüttler, B. (2017, online: 2016) Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 209-234.
  • Kapl, M.; Vito, V.; Jüttler, B.; Birner, K. (2015) Isogeometric analysis with geometrically continuous functions on two-patch geometries. Computers & Mathematics with Applications, Bd. 70, S. 1518-1538.
  • Jüttler, B.; Kapl, M.; Nguyen, D-M.; Pang, Q.; Pauley, M. (2014) Isogeometric segmentation: The case of contractible solids without non-convex edges. Computer-Aided Design, Bd. 57, S. 74-90.
  • Buchegger, F.; Jüttler, B.; Kapl, M. (2014) Total curvature variation fairing for medial axis regularization. Graphical Models, Bd. 76, S. 633-647.
  • Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas Isogeometric analysis with C1 functions on planar, unstructured quadrilateral meshes. SMAI Journal of Computational Mathematics.
  • Kapl, Mario; Vitrih, Vito Isogeometric collocation on planar multi-patch domains. Computer Methods in Applied Mechanics and Engineering.

Conference Contribution: Publication in Proceedings
  • Kapl, Mario; Jüttler, Bert (2008) Multiresolution Analysis for Implicitly Defined Algebraic Spline Curves with Weighted Wavelets. In: Schumaker, M. Neamtu and L. (Hrsg.), Approximation Theory 12: San Antonio 2007 (12th International Conference in Approximation Theory, San Antonio, Texas): Nashboro Press.

Research Report
  • Birner, Katharina; Kapl, Mario (2018) The space of C1-smooth isogeometric spline functions on trilinearly parameterized volumetric two-patch domains. Bericht-Nr. 69; NFN Geometry + Simulation, Johannes Kepler University Linz:. (link)
  • Kapl, M.; Buchegger, F.; Bercovier, M.; Jüttler, B. (2015, online: 2015) Isogeometric analysis with geometrically continuous functions on multi-patch geometries. Bericht-Nr. 35; NFN Geoemtry + Simulation, Johannes Kepler Universität Linz:. (link)
  • Kapl, Mario; Jüttler, Bert (2007) Weighted Biorthogonal Spline Wavelets. Bericht-Nr. SFB Report 2007-13;.