Geometry in Simulations

Publications


Peer Reviewed Journal Publication
  • Scholz, Felix; Jüttler, Bert (2019) Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces. Computer Methods in Applied Mechanics and Engineering, Bd. 357, S. 112577.
  • Kargaran, S.; Jüttler, B.; Kleiss, K.; Mantzaflaris, A.; Takacs, T. (2019) Overlapping multi-patch structures in isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, Bd. 356, S. 325-353.
  • 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.
  • Haberleitner, Michael; Jüttler, Bert; Masson, Yannick (2019) Isogeometric Segmentation via Midpoint Subdivision Suitable Solids. Computer-Aided Design, Bd. 114, S. 179-190.
  • Xia, Yang; Mantzaflaris, Angelos; Juttler, Bert; Pan, Hao; Hu, Ping et al. [..] (2019) Design of self-supporting surfaces with isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, Bd. 353, S. 328-347.
  • 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.
  • Falini, Antonella; Jüttler, Bert (2019) THB-splines multi-patch parameterization for multiply-connected planar domains via template segmentation. Journal of Computational and Applied Mathematics, Bd. 349, S. 390-402.
  • Mantzaflaris, Angelos; Scholz, Felix; Toulopoulos, Ioannis (2019, online: 2018) Low-Rank Space-Time Decoupled Isogeometric Analysis for Parabolic Problems with Varying Coefficients. Computational Methods in Applied Mathematics, Bd. 19(1), S. 123-136.
  • Birner, Katharina; Jüttler, Bert; Mantzaflaris, Angelos (2018) Bases and dimensions of C1-smooth iogeometric splines onvolumetric two-patch domains. Graphical Models, Bd. 99, S. 46-56.
  • Seiler, Agnes; Großmann, David; Jüttler, Bert (2018) Spline surface fitting using normal data and norm-like functions. Computer Aided Geometric Design, Bd. 64, S. 37-49.
  • Scholz, Felix; Mantzaflaris, Angelos; Jüttler, Bert (2018) Partial tensor decomposition for decoupling isogeometric Galerkin discretizations. Elsevier Computer Methods in Applied Mechanics and Engineering, Bd. 336, S. 485-506.
  • 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.
  • Bressan, Andrea; Jüttler, Bert (2018, online: 2017) Inf-sup stability of isogeometric Taylor-Hood and Sub-Grid methods for the Stokes problemwith hierarchical splines. IMA Journal of Numerical analysis, Bd. 38 (2), S. 955-975.
  • 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. Computers & Mathematics with Applications, 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) Multigrid methods for isogeometric analysis with THB-splines. (308), S. 96-112.
  • Nguyen, D.-M., Pauley, M., Jüttler, B. (2016) Isogeometric segmentation: Construction of auxiliary curves. (70), S. 89-99.
  • Zafeirakopoulos, Angelos Mantzaflaris and Hamid Rahkooy and Zafeirakis (2016) Efficient computation of dual space and directional multiplicity of an isolated point., Bd. 23231, S. 1-34.
  • Jüttler, Bert; Mantzaflaris, Angelos; Perl, Ricardo; Rumpf, Martin (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) Adaptively refined multi-patch B-splines with enhanced smoothness. (272), S. 159-172.
  • Giannelli, Carlotta; Jüttler, Bert; Kleiss, Stefan K.; Mantzaflaris, Angelos; Simeon, Bernd et al. [..] (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; Jüttler, 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) 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.
  • 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
  • Bender, Matias; Faugere, Jean-Charles; Mantzaflaris, Angelos; Tsigaridas, Elias (2018) Bilinear Systems with Two Supports: Koszul Resultant Matrices, Eigenvalues, and Eigenvectors. (2018 ACM International Symposium on Symbolic and Algebraic Computation), S. 63-70.
  • 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.

Contribution in Collection
  • Scholz, Felix; Mantzaflaris, Angelos; Jüttler, Bert (2019) First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis. In: Apel, Thomas; Langer, Ulrich; Meyer, Arnd; Steinbach, Olaf (Hrsg.), Advanced Finite Element Methods with Applications: Springer International Publishing.

Dissertation
  • Scholz, Felix Efficient Matrix Assembly for Isogeometric Analysis. Doktorarbeit, Johannes Kepler Universität Linz.

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