Geometry in Simulations

Publications


Peer Reviewed Journal Publication
  • 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.
  • Jüttler, Bert; Kleiss, Stefan (2017) Coupling adaptively refined multi-patch spline discretizations via boundary compatibility. Computers&Mathematics with Applications, Bd. 74 (7), S. 1626-1647.
  • Strodthoff, Birgit; Jüttler, Bert (2017) Automatic decomposition of 3D solids into contractible pieces using Reeb graphs. Computer-Aided Design, Bd. 90, S. 157-167.
  • Kapl, Mario; Vitrih, Vito (2017) Space of C2-smooth geometrically continuous isogeometric functions on planar multi-patch geometries: Dimension and numerical experiments. Comput. Math. Appl., Bd. 73 (10), S. 2319-2338.
  • Dong, Guozhi; Jüttler, Bert; Scherzer, Otmar; Takacs, Thomas (2017) Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces. Inverse Probl. Imaging, Bd. 11 (2), S. 221-246.
  • Mantzaflaris, A., Jüttler, B., Khoromskij, B.N., Langer, U. (2017) Low rank tensor methods in Galerkin-based isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 1062-1085. (link)
  • 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.
  • Hofreither, C., Jüttler, B., Kiss, G., Zulehner, W. (2016, online: 2016) Multigrid methods for isogeometric analysis with THB-splines. (308), S. 96-112.
  • Nguyen, D.-M., Pauley, M., Jüttler, B. (2016, online: 2016) Isogeometric segmentation: Construction of auxiliary curves. (70), S. 89-99.
  • Zafeirakopoulos, Angelos Mantzaflaris and Hamid Rahkooy and Zafeirakis (2016, online: 2016) Efficient computation of dual space and directional multiplicity of an isolated point., Bd. 23231, S. 1-34.
  • Juettler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin (2016, online: 2016) On numerical integration in isogeometric subdivision methods for PDEs on surfaces. Comput. Meth. Appl. Mech. Eng., Bd. 302, S. 131-146.
  • Buchegger, F., Jüttler, B., Mantzaflaris, A. (2016, online: 2016) Adaptively refined multi-patch B-splines with enhanced smoothness. (272), S. 159-172.
  • Giannelli, Carlotta; Juettler, Bert; Kleiss, Stefan K.; Mantzaflaris, Angelos; Simeon, Bernd et al. [..] (2016, online: 2016) THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis. Comput. Meth. Appl. Mech. Eng., Bd. 299, S. 337-365.
  • Villamizar, Nelly; Mantzaflaris, Angelos; Juettler, Bert (2016, online: 2015) Characterization of bivariate hierarchical quartic box splines on a three-directional grid. Computer Aided Geometric Design, Bd. 41, S. 1-15. (link)
  • Kapl, M.; Vito, V.; Jüttler, B.; Birner, K. (2015, online: 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, online: 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, online: 2014) Total curvature variation fairing for medial axis regularization. Graphical Models, Bd. 76, S. 633-647.
  • Mantzaflaris, A.; Jüttler, B.; Khoromskij, B.; Langer, Ulrich (online: 2016) Low rank tensor methods in galerkin-based isogeometric analysis. Comput. Methods Appl. Mech. Engrg.

Conference Contribution: Publication in Proceedings
  • Tsigaridas, Ioannis Z. Emiris and Angelos Mantzaflaris and Elias (2016, online: 2016) On the bit complexity of solving bilinear polynomial systems.: ACM.
  • U., Langer; A., Mantzaflaris; S.E., Moore; I., Toulopoulos (2015) Multipatch discontinuous Galerkin isogeometric analysis. In: Springer, Heidelberg (Hrsg.), Isogeometric Analysis and Applications IGAA 2014, (Isogeometric Analysis and Applications 2014,) In Reihe: Lecture Notes in Computer Science Vol 107, hrsg. v. B. Juttler and B. Simeon,, S. 1-32.

Editorship
  • Juettler, Bert; Liu, Yong-Jin; Vouga, Etienne (Hrsg.) (2017) Special Issue on "Geometric Modeling and Processing". : Computer Aided Geometric Design.