Important

Starting date: March 1st, 2012

Next event:
11th NFN seminar:
Monday, November 13, to
Wednesday, November 15, 2017
more details here

Open Positions:
PhD/Postdoc Position (f/m) (project 7)

This homepage will be continuously updated with information.


JKU
Austrian Academy of Sciences
Universität Wien
Universität Bonn

Publications

2017

Ioannis Toulopoulos:
Stabilized space-time finite element methods of parabolic evolution problems.
NFN Technical Report No. 58 - [PDF].

N. Engleitner, B. Jüttler:
Patchwork B-Spline Refinement.
NFN Technical Report No. 57 - [PDF].

U. Langer, M. Neumüller, I. Toulopoulos:
Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems.
NFN Technical Report No. 56 - [PDF].

C. Hofreither:
A Black-Box Algorithm for Fast Matrix Assembly in Isogeometric Analysis.
NFN Technical Report No. 55 - [PDF].

A. Bressan, D. Mokriš:
A Versatile Strategy for the Implementation of Adaptive Splines.
Lecture Notes in Computer Science, in press.
Also available as NFN Technical Report No. 54 - [PDF].

A. Bressan, D. Mokriš:
A Versatile Strategy for the Implementation of Adaptive Splines.
NFN Technical Report No. 54 - [PDF]. This report supersedes NFN Technical Report No. 50.

B. Jüttler, D. Mokriš:
Low rank interpolation of boundary spline curves.
Comput. Aided. Geom. Design (2017), in press. DOI: 10.1016/j.cagd.2017.03.012.
Also available as NFN Technical Report No. 53 - [PDF].

B. Jüttler, D. Mokriš:
Low rank interpolation of boundary spline curves.
NFN Technical Report No. 53 - [PDF]. This report supersedes NFN Technical Report No. 47.

K. Rafetseder, W. Zulehner:
A decomposition result for Kirchhoff plate bending problems and a new discretization approach.
NFN Technical Report No. 52 - [PDF]

A. Mantzaflaris, B. Jüttler, B. N. Khoromskij, U. Langer:
Low rank tensor methods in Galerkin-based isogeometric analysis.
Computer Methods in Applied Mechanics and Engineering, 316 (2017) pp. 1062 - 1085, Special Issue on Isogeometric Analysis: Progress and Challenges, DOI: 10.1016/j.cma.2016.11.013.
See also NFN Technical Report No. 46 - pdf.

2016

C. Hofer, U. Langer:
Dual-primal isogeometric tearing and interconnecting solvers for multipatch continuous and discontinuous Galerkin IgA equations.
PAMM 2016, Vol. 16 (1), pp. 747 - 478, DOI: 10.1002/pamm.201610362.

C. Hofer, U. Langer, I. Toulopoulos:
Discontinuous Galerkin isogeometric analysis of elliptic diffusion problems on segmentations with gaps.
SIAM Journal on Scientific Computing, 38(6):A3430A3460, 2016, DOI: 10.1137/15M1048574.

C. Hofer, I. Toulopoulos:
Discontinuous Galerkin Isogeometric Analysis of elliptic problems on segmentations with non-matching interfaces.
Computers and Mathematics with Applications 72 (2016) pp. 18111827, DOI: 10.1016/j.camwa.2016.07.039.
See also NFN Technical Report No. 42 - pdf.

A. Bressan, D. Mokriš:
A Versatile Strategy for the Implementation of Adaptive Splines.
NFN Technical Report No. 50 - [PDF] This report is superseded by NFN Technical Report No. 54 - [PDF].

N. Engleitner, B. Jüttler, U. Zore:
Partially Nested Hierarchical Refinement of Bivariate Tensor-product Splines with Highest Order Smoothness.
NFN Technical Report No. 49 - [PDF]

I. A. Frigaard, J. A. Iglesias, G. Mercier, Ch. Pöschl, O. Scherzer:
Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets.
NFN Technical Report No. 48 - [PDF] and at arXiv:1608.01200

B. Jüttler, D. Mokriš, U. Zore:
Completeness of generating systems for quadratic splines on adaptively refined criss-cross triangulations.
Computer Aided Geometric Design, Vol. 45, July 2016, pp. 91-107, DOI: 10.1016/j.cagd.2016.03.005.
See also NFN Technical Report No. 41 - [PDF]

B. Jüttler, D. Mokriš:
Low rank spline interpolation of boundary spline curves.
NFN Technical Report No. 47 - [PDF]. This report is superseded by NFN Technical Report No. 53 - [PDF].

U. Langer, I. Toulopoulos: Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Computing and Visualization in Science.
Vol 17-5, pp. 217-233, DOI: 10.1007/s00791-016-0262-6.
See also NFN Technical Report No. 15 - [PDF]

A. Mantzaflaris, B. Jüttler, B. N. Khoromskij, U. Langer:
Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis.
NFN Technical Report No. 46 - [PDF]

C. Hofreither, S. Takacs:
Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces.
NFN Technical Report No. 45 - [PDF]

U. Langer, S. E. Moore, M. Neumüller:
Space-Time Isogeometric Analysis of Parabolic Evolution Equations.
Comput. Methods Appl. Mech. Engrg., 306:342363, 2016, DOI: 10.1016/j.cma.2016.03.042.
Also available as NFN Technical Report No. 36 - [PDF] and at arXiv:1509.02008

C. Hofer, U. Langer:
Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations.
Comput. Methods in Applied Mechanics and Engineering, 2016, in press, DOI: 10.1016/j.cma.2016.03.031.
Also available as NFN Technical Report No. 43 - [PDF].

F. Buchegger, B. Jüttler:
Planar Multi-Patch Domain Parameterization via Patch Adjacency Graphs.
NFN Technical Report No. 44 - [PDF].

B. Jüttler, D. Mokriš, U. Zore:
Completeness of Generating Systems for Quadratic Splines on Adaptively Refined Criss-Cross Triangulations.
NFN Technical Report No. 41 - [PDF].

N. Villamizar, A. Mantzaflaris, B. Jüttler:
Characterization of bivariate hierarchical quartic box splines on a three-directional grid .
Computer Aided Geometric Design, Vol. 41, January 2016, pp. 4761, DOI: 10.1016/j.cagd.2015.11.004
Also available as Tech. rep. 10. RICAM, 2014


2015

C. Hofer, U. Langer:
Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations.
NFN Technical Report No. 43 - [PDF].

C. Hofer, I. Toulopoulos:
Discontinuous Galerkin Isogeometric Analysis of Elliptic Problems on Segmentations with Non-matching Interfaces.
NFN Technical Report No. 42 - [PDF].

U. Zore, B. Jüttler, J. Kosinka:
On the Linear Independence of (Truncated) Hierarchical Subdivision Splines.
NFN Technical Report No. 40 - [PDF]. This technical report replaces report no. 17.

C. Hofer, U. Langer:
Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations.
NFN Technical Report No. 39 - [PDF]

C. Hofer, U. Langer, I. Toulopoulos:
Discontinuous Galerkin Isogeometric Analysis of Elliptic Problems on Non-matching Interfaces.
NFN Technical Report No. 38 - [PDF]

J. Sogn, W. Zulehner:
Robust preconditioners for PDE-constrained optimization with limited observations using isogeometric discretization.
NFN Technical Report No. 34 - [PDF]

J. Iglesias, M. Rumpf, O. Scherzer:
Shape Aware Matching of Implicit Surfaces based on Thin Shell Energies.
arXiv:1509.06559, NFN Technical Report No. 37 - [PDF]

Ulrich Langer, Stephen E. Moore, Martin Neumüller:
Space-Time Isogeometric Analysis of Parabolic Evolution Equations.
NFN Technical Report No. 36 - [PDF] and at arXiv:1509.02008

Mario Kapl, Florian Buchegger, Michel Bercovier, Bert Jüttler:
Isogeometric Analysis with Geometrically Continuous Functions on Multi-Patch Geometries.
NFN Technical Report No. 35 - [PDF]

Dang Manh Nguyen, M. Pauley, B. Jüttler.
Isogeometric Segmentation. Construction of auxiliary curves.
Computer-Aided Design, Vol. 70, 2016, pp. 8999, DOI: 10.1016/j.cad.2015.06.014

O. Azencot, O. Vantzos, M. Wardetzky, M. Rumpf, M. Ben-Chen:
Functional Thin Films on Surfaces.
SCA '15 Proceedings of the 14th ACM SIGGRAPH / Eurographics Symposium on Computer Animation pp. 137-146. DOI: 10.1145/2786784.2786793

S. Conti, J. Ginster, M. Rumpf:
A BV Functional and its Relaxation for Joint Motion Estimation and Image Sequence Recovery.
ESAIM: Mathematical Modelling and Numerical Analysis (2015). Volume 49, Number 5, September-October 2015, pp. 1463 - 1487. DOI: 10.1051/m2an/2015036

U. Langer, A. Mantzaflaris, S. E. Moore, I. Toulopoulos:
Mesh Grading in Isogeometric Analysis.
Computers & Mathematics with Applications, in press. DOI: 10.1016/j.camwa.2015.03.011.
Also available as NFN Technical Report No. 21 - [PDF]

M. Kapl, V. Vitrih, B. Jüttler, K. Birner:
Isogeometric Analysis with Geometrically Continuous Functions on Two-Patch Geometries.
Computers & Mathematics with Applications. Vol. 70, Issue 7, 2015, pp. 15181538. DOI: 10.1016/j.camwa.2015.04.004, [PDF]

U. Langer, A. Mantzaflaris, S.E. Moore, I. Toulopoulos:
Multipatch Discontinuous Galerkin Isogeometric Analysis.
Isogeometric Analysis and Applications IGAA 2014. Ed. by B. Jüttler and B. Simeon. Springer LNCSE Vol 107 2015, pp. 1-32. DOI: 10.1007/978-3-319-23315-4_1.
Also available as NFN Technical Report No. 18 - [PDF] and at arXiv:1505.03505

A. Patrone, O. Scherzer:
On a spatial-temporal decomposition of the optical flow.
Submitted for publication. arXiv:1411.2478, [PDF]

J. A. Iglesias, C. Kirisits:
Convective regularization for optical flow.
Submitted for publication. arXiv:1505.04938

L. F. Lang, O. Scherzer:
Optical Flow on Evolving Sphere-Like Surfaces.
Preprint on arXiv:1506.03358

A. Bressan, B. Jüttler:
A Hierarchical Construction of LR Meshes in 2D.
Comput. Aided Geom. Design 37 (2015) pp. 9 - 24. DOI: 10.1016/j.cagd.2015.06.002.
Also available as NFN Technical Report No. 23 - [PDF]

B. Jüttler.
A primer on splines and NURBS for isogeometric analysis.
Isogeometric Methods for Numerical Simulation. Ed. by G. Beer and S. Bordas. Vol. 561. CISM International Centre for Mechanical Sciences. Springer, 2015, pp. 1 - 19. DOI: 10.1007/978-3-7091-1843-6_1

U. Langer, S.E. Moore:
Discontinuous Galerkin Isogeometric Analysis of Elliptic PDEs on Surfaces.
Accepted for publication in the DD22 proceedings. Available at arXiv:1402.1185 and as NFN Technical Report No. 12 - [PDF]

G. Dong, A. Patrone, O. Scherzer, O. Oektem:
Infinite Dimensional Optimization Methods and PDEs for Image Dejittering.
Lecture Notes in Computer Science 9087 (2015). Ed. by J.-F. Aujol, M. Nikolova, and N. Papadakis, pp. 678 - 689. DOI: 10.1007/978-3-319-18461-6, [PDF]

V. Korneev, U. Langer:
Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: H and HP Finite Element Discretizations.
New Jersey - London - Singapore: World Scientific Publishing Company Incorporated, 2015. ISBN: 9789814578455. url

A. Mantzaflaris, B. Jüttler, B. Khoromskij, U. Langer:
Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation.
Curves and Surfaces. Ed. by J.-D. Boissonat et al. LNCS, Springer, 2015. LNCS 9213, pp. 321-340. DOI: 10.1007/978-3-319-22804-4_24.
Also available as NFN Technical Report No. 19 - [PDF]

C. Hofreither, W. Zulehner:
On full multigrid schemes for isogeometric analysis.
Domain decomposition methods in science and engineering XXII. Ed. by T. Dickopf, M. Gander, L. Halpern, R. Krause, and L. Pavarino. LNCS Eng. In print. Springer, Berlin, 2015.
Also available as NFN Technical Report No. 13 - [PDF]

R. Andreev, O. Scherzer, W. Zulehner:
Simultaneous optical fl ow and source estimation: Spacetime discretization and preconditioning.
Applied Numerical Mathematics 96 (2015), pp. 72 - 81. DOI: 10.1016/j.apnum.2015.04.007.
Also available as NFN Technical Report No. 20 - [PDF]

C. Hofreither, S. Takacs, W. Zulehner:
A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction.
NFN Technical Report No. 33 - [PDF]

C. Hofreither, B. Jüttler, G. Kiss, W. Zulehner:
Multigrid Methods for Isogeometric Analysis with THB-Splines.
NFN Technical Report No. 32 - [PDF]

M. Pauley, Dang-Manh Nguyen, D. Mayer, J. Špeh, O. Weeger, Bert Jüttler:
The isogeometric segmentation pipeline.
Isogeometric Analysis and Applications IGAA 2014. Ed. by B. Jüttler and B. Simeon. Springer LNCSE Vol 107 2015, pp. 51-72. DOI: 10.1007/978-3-319-23315-4_3.
Also available as NFN Technical Report No. 31 - [PDF]

C. Giannelli, B. Jüttler, S. K. Kleiss, A. Mantzaflaris, B. Simeon, J. Špeh:
THB-splines: An Effective Mathematical Technology for Adaptive Refinement in Geometric Design and Isogeometric Analysis.
Computer Methods in Applied Mechanics and Engineering, Vol. 299, 2016, pp. 337365. DOI: 10.1016/j.cma.2015.11.002.
Also available as NFN Technical Report NFN Technical Report No. 30 - [PDF]

I. Georgieva, C. Hofreither:
An Algorithm for Low-rank Approximation of Bivariate Functions using Splines.
NFN Technical Report No. 28 - [PDF]

A. Falini, J. Špeh, B. Jüttler:
Planar domain parameterization with THB-splines.
Computer Aided Geometric Design 35-36 (2015), pp. 95 - 108. DOI: 10.1016/j.cagd.2015.03.014, [PDF]

B. Jüttler, A. Mantzaflaris, R. Perl, M. Rumpf:
On Isogeometric Subdivision Methods for PDEs on Surfaces.
NFN Technical Report No. 27 - [PDF], arXiv:1503.03730

F. Buchegger, B. Jüttler, A. Mantzaflaris:
Adaptively Refined Multi-Patch B-splines with Enhanced Smoothness.
Applied Mathematics and Computation. Vol., Jan. 2016, pp. 159172. 10.1016/j.amc.2015.06.055.
Also available as NFN Technical Report No. 26 - [PDF]

S. Takacs, T. Takacs:
Approximation error estimates and inverse inequalities for B-splines of maximum smoothness.
Submitted 2015 arXiv:1502.03733. [PDF]

S. Stoykov, C. Hofreither, S. Margenov:
Isogeometric Analysis for Nonlinear Dynamics of Timoshenko Beams.
Numerical Methods and Applications. Ed. by I. Dimov, S. Fidanova, and I. Lirkov. Vol. 8962. LNCS. Springer International Publishing, 2015, pp. 138 - 146. DOI: 10.1007/978-3-319-15585-2_16. [PDF]

C. Hofreither, W. Zulehner:
Spectral Analysis of Geometric Multigrid Methods for Isogeometric Analysis.
Numerical Methods and Applications. Ed. by I. Dimov, S. Fidanova, and I. Lirkov. Vol. 8962. LNCS. Springer International Publishing, 2015, pp. 123 - 129. DOI: 10.1007/978-3-319-15585-2_14.
Also available as NFN Technical Report No. 24 - [PDF]

R. Andreev, P. Elbau, Maarten V. de Hoop, Lingyun Qiu, O. Scherzer:
Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces.
Numerical Functional Analysis and Optimization 36.5 (2015), pp. 549 - 566. DOI: 10.1080/01630563.2015.1021422, arXiv:1409.7610.

Maarten V. de Hoop, Lingyun Qiu, O. Scherzer:
An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints.
Numerische Mathematik, January 2015, vol. 129, Issue 1, pp. 127 - 148. DOI: 10.1007/s00211-014-0629-x, [PDF]

A. Bressan, B. Jüttler:
A Hierarchical Construction of LR Meshes in 2D.
NFN Technical Report No. 23 - [PDF]

C. Pöschl, O. Scherzer:
Exact solutions of one-dimensional total generalized variation.
Communications in Mathematical Sciences, vol. 13.1 (2015), International Press, pp. 171-202. DOI: 10.4310/CMS.2015.v13.n1.a9, [PDF]

A. Mantzaflaris, Bert Jüttler:
Integration by Interpolation and Look-up for Galerkin-based Isogeometric Analysis.
Computer Methods in Applied Mechanics and Engineering, Vol 284, Feb. 2015, pp. 373 - 400. DOI: 10.1016/j.cma.2014.09.014.
Also available as NFN Technical Report No. 14 - [PDF]


2014

C. Hofreither, W. Zulehner:
Mass Smoothers in Geometric Multigrid for Isogeometric Analysis.
NFN Technical Report No. 25 - [PDF]

C. Hofreither, W. Zulehner:
Spectral analysis of geometric multigrid methods for isogeometric analysis.
NFN Technical Report No. 24 - [PDF]

B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, B. Wirth:
Exploring the geometry of the space of shells.
Computer Graphics Forum, 33(5): pp. 247 - 256, 2014. [PDF]

L. Diening, D. Kröner, M. Růžička, I. Toulopoulos:
A local discontinuous Galerkin approximation for systems with p-structure.
IMA Journal Numerical Analysis 34.4 (2014), pp. 1447 - 1488. DOI: 10.1093/imanum/drt040

B. Jüttler, U. Langer, A. Mantzaflaris, St. E. Moore, W. Zulehner:
Geometry + Simulation Modules: Implementing Isogeometric Analysis.
Proceedings in Applied Mathematics and Mechanics, vol. 14, pp. 961 - 962, Dec. 2014. DOI: 10.1002/pamm.201410461, [PDF]

B. Jüttler, M. Kapl, Dang-Manh Nguyen, Q. Pan, M. Pauley:
Isogeometric Segmentation: The case of contractible solids without non-convex edges.
Computer-Aided Design 57 (2014), pp. 74 - 90. DOI: 10.1016/j.cad.2014.07.005, [PDF]

M. Kapl, V. Vitrih, B. Jüttler:
Isogeometric Analysis with Geometrically Continuous Functions.
NFN Technical Report No. 22 - [PDF]

U. Langer, A. Mantzaflaris, S. E. Moore, I. Toulopoulos:
Mesh Grading in Isogeometric Analysis.
NFN Technical Report No. 21 - [PDF]

M. Rumpf, M. Wardetzky:
Geometry Processing from an Elastic Perspective.
GAMM Mitteilungen 37.2 (2014), pp. 184 - 216. DOI: 10.1002/gamm.201410009

R. Andreev, O. Scherzer, W. Zulehner:
Simultaneous optical flow and source estimation: space-time discretization and preconditioning.
NFN Technical Report No. 20 - [PDF]

F. Buchegger, B. Jüttler, M. Kapl:
Total Curvature Variation Fairing for Medial Axis regularization.
Graphical Models 76 (2013), pp. 633 - 647. DOI: 10.1016/j.gmod.2014.06.004, [PDF]

Ioannis Toulopoulos:
An Interior Penalty Discontinuous Galerkin Finite Element Method for Quasilinear Parabolic Problems.
Finite Elements in Analysis and Design, volume 95, March 2015, pp. 42-50. DOI: 10.1016/j.finel.2014.11.001, [PDF]

R. Ling, J. Huang, B. Jüttler, F. Sun, H. Bao, Wenping Wang:
Spectral Quadrangulation with Tight Feature-Alignment and Local-Size Control.
ACM Trans. on Graphics 34 (2014). article no. 11. DOI: 10.1145/2653476

A. Mantzaflaris, B. Jüttler, B.N. Khoromskij, U. Langer:
Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation.
NFN Technical Report No. 19 - [PDF]

U. Langer, A. Mantzaflaris, S. E. Moore, I. Toulopoulos:
Multipatch Discontinuous Galerkin Isogeometric Analysis.
NFN Technical Report No. 18 - [PDF]

A. Mantzaflaris, B. Mourrain:
Singular Zeros of Polynomial Systems.
SAGA Advances - in ShApes, Geometry, and Algebra. Ed. by T. Dokken and G. Muntingh. Vol. 10. Geometry and Computing. Springer International Publishing, 2014, pp. 77 - 103. DOI: 10.1007/978-3-319-08635-4_5, [PDF]

T. Takacs, B. Jüttler, O. Scherzer:
Derivatives of Isogeometric Functions on n-dimensional Rational Patches in R^d.
Computer Aided Geometrci Design, Volume 31.78 (2014), pp. 567 - 581. DOI: 10.1016/j.cagd.2014.06.005, [PDF]

U. Zore, B. Jüttler:
Adaptively Refined Multilevel Spline Spaces from Generating Systems.
Computer Aided Geometric Design 31 (2014), pp. 545 - 566. DOI: 10.1016/j.cagd.2014.04.003, [PDF]

D. Mokriš, B. Jüttler:
TDHB-splines: The Truncated Decoupled Basis of Hierarchical Tensor-Product Splines.
Computer Aided Geometric Design 31 (2014), pp. 531 - 544.
Also available as NFN Technical Report No. 10 - [PDF], DOI: 10.1016/j.cagd.2014.05.004

D. Kröner, M. Růžička, I. Toulopoulos:
Numerical solutions of systems with (p, δ) - structure using local discontinuous Galerkin finite element methods.
International Journal for Numerical Methods in Fluids 76.11 (2014), pp. 855 - 874. DOI: 10.1002/fld.3955, [PDF]

Dang-Manh Nguyen, M. Pauley, B. Jüttler:
Isogeometric Segmentation. Part II: On the segmentability of contractible solids with non-convex edges.
Graphical Models 76 (2014), pp. 426 - 439. DOI: 10.1016/j.gmod.2014.03.013, [PDF]

Y. Zhu, F. Sun, Y.-K. Choi, B. Jüttler, Wenping Wang:
Computing a Compact Spline Representation of the Medial Axis of a 2D Shape.
Graphical Models 76 (2014), pp. 252 - 262. DOI: 10.1016/j.gmod.2014.03.007

U. Zore, B. Jüttler, J. Kosinka:
On the Linear Independence of (Truncated) Hierarchical Subdivision Splines.
NFN Technical Report No. 17. This report has been replaced by NFN Technical Report No. 40.

B. Jüttler, M. Kapl, Dang-Manh Nguyen, Qing Pan, M. Pauley:
Isogeometric Segmentation: The case of contractible solids without non-convex edges.
NFN Technical Report No. 16 - [PDF]

U. Langer, I. Toulopoulos:
Analysis of Discontinuous Galerkin IgA Approximations to Elliptic Boundary Value Problems.
NFN Technical Report No. 15 - [PDF], RICAM Reports 2014-08. Submitted to arXiv:1408.0182

B. Bastl, B. Jüttler, M. Lávička, T. Schulz, Z. Šír:
On the parameterization of rational ringed surfaces and rational canal surfaces.
Mathematics in Computer Science 8 (2014), pp. 299 - 319. DOI: 10.1007/s11786-014-0192-y, [PDF]

C. Kirisits, L. F. Lang, O. Scherzer:
Optical flow on evolving surfaces with space and time regularisation.
Journal of Mathematical Imaging and Vision, 2014, pp. 1-16. DOI: 10.1007/s10851-014-0513-4.
Also available as NFN Technical Report No. 6 - Preprint on arXiv:1301.0322

A. Mantzaflaris, Bert Jüttler:
Integration by Interpolation and Look-up for Galerkin-based Isogeometric Analysis.
NFN Technical Report No. 14 - [PDF]

C. Kirisits, C. Pöschl, E. Resmerita, O. Scherzer:
Finite-dimensional approximation of convex regularization via hexagonal pixel grids.
Applicable Analysis: An International Journal, Taylor & Francis, vol. 94.3 (2015), pp. 612 - 636. DOI: 10.1080/00036811.2014.958998. Published online: Oct. 2014

E. Beretta, M. Grasmair, M. Muszkieta, O. Scherzer:
A variational algorithm for the detection of line segments.
Inverse Problems and Imaging (IPI), 2014, vol. 8-2, pp. 389 - 408. DOI: 10.3934/ipi.2014.8.389, [PDF]

C. Hofreither, W. Zulehner:
On Full Multigrid Schemes for Isogeometric Analysis.
NFN Technical Report No. 13 - [PDF]

N. Villamizar, A. Mantzaflaris, B. Jüttler.
Characterization of bivariate hierarchical quartic box splines on a three-directional grid.
Tech. rep. 10. RICAM, 2014

C. Kirisits, L. F. Lang, O. Scherzer:
Decomposition of optical flow on the sphere.
GEM. Int. J. Geomath., 5.1 (2014), pp. 117 - 141. DOI: 10.1007/s13137-013-0055-8. Preprint on ArXiv arXiv:1312.4354, University of Vienna, Austria, 2013

G. Kiss, C. Giannelli, B. Jüttler:
Algorithms and Data structures for truncated hierarchical B-splines.
Mathematical Methods for Curves and Surfaces. Ed. by M. Floater et al. Vol. 8177. Lecture Notes in Computer Science. Springer, 2014, pp. 304 - 323, DOI: 10.1007/978-3-642-54382-1_18, [PDF]

A. Mantzaflaris, B. Jüttler:
Exploring Matrix Generation Strategies in Isogeometric Analysis.
Mathematical Methods for Curves and Surfaces, 2014, M. Floater et al., Springer, Lecture Notes in Computer Science, 8177, 2014, pp. 364-382. DOI: 10.1007/978-3-642-54382-1_21.
Also available as NFN Technical Report No. 1 - [PDF]

C. Giannelli, B. Jüttler, H. Speleers:
Strongly stable bases for adaptively refined multilevel spline spaces.
Advances in Computational Mathematics, 40 (2014), pp. 459 - 490. DOI: 10.1007/s10444-013-9315-2, [PDF]

D. Mokriš, B. Jüttler, C. Giannelli:
On the completeness of hierarchical tensor-product B-splines.
Journal of Computational and Applied Mathematics, vol. 271, 2014, pp. 53-70. DOI 10.1016/j.cam.2014.04.001, [PDF]

E. Pilgerstorfer, B. Jüttler:
Bounding the Influence of Domain Parameterization and Knot Spacing on Numerical Stability in Isogeometric Analysis.
Computer Methods in Applied Mechanics and Engineering, vol. 268, January 2014, pp. 589-613. DOI 10.1016/j.cma.2013.09.019, [PDF]

U. Langer, S. E. Moore:
Discontinuous Galerkin Isogeometric Analysis of Elliptic PDEs on Surfaces.
NFN Technical Report No. 12 - [PDF] - Preprint on arXiv:1402.1185


2013

T. Takacs, B. Jüttler, O. Scherzer:
Derivatives of Isogeometric Functions on Rational Patches.
NFN Technical Report No. 11 - [PDF]

D. Mokriš, B. Jüttler:
TDHB-splines: The Truncated Decoupled Basis of Hierarchical Tensor-product Splines.
NFN Technical Report No. 10 - [PDF]

U. Zore, B. Jüttler:
Generalized Hierarchical Spline Spaces.
NFN Technical Report No. 9 - [PDF]

K. Kalimeris, O. Scherzer:
Photoacoustic imaging in attenuating acoustic media based on strongly causal models.
Mathematical Methods in the Applied Sciences, 2013, vol. 36-16, pp. 2254 - 2264. DOI: 10.1002/mma.2756

C. Giannelli, B. Jüttler:
Local and Adaptive Refinement with Hierarchical B-Splines.
Bolletino della Unione Matematica Italiana, Series IX VI.3 (2013), pp. 735 - 740.

D. Mokriš, B. Jüttler, C. Giannelli:
On the Completeness of Hierarchical Tensor-Product B-Splines.
NFN Technical Report No. 8 - [PDF]

R. Perl, P. Pozzi, M. Rumpf:
A Nested Variational Time Discretization for Parametric Anisotropic Willmore Flow.
In: Singular Phenomena and Scaling in Mathematical Models. Ed. by M. Griebel. Springer, 2014, pp. 221 - 241. DOI: 10.1007/978-3-319-00786-1_10

Guozhi Dong, M. Grasmair, Sung Ha Kang, O. Scherzer:
Scale and Edge Detection with Topological Derivatives.
In A. Kuijper, editor, SSVM'13: Proceedings of the fourth International Conference on Scale Space and Variational Methods in Computer Vision, volume 7893 of Lecture Notes in Computer Science, pp. 404-415, Berlin, Heidelberg, 2013. Springer-Verlag. DOI: 10.1007/978-3-642-38267-3_34, [PDF]

B. Jüttler, M. Kapl, Qing Pan:
Isogeometric Segmentation. Part I: Decomposing contractible solids without non-convex edges.
NFN Technical Report No. 7 - [PDF]

C. Kirisits, L. F. Lang, O. Scherzer:
Optical flow on evolving surfaces with an application to the analysis of 4D microscopy data.
In A. Kuijper, editor, SSVM'13: Proceedings of the fourth International Conference on Scale Space and Variational Methods in Computer Vision, volume 7893 of Lecture Notes in Computer Science, 2013, Springer-Verlag Berlin Heidelberg, pp. 246-257. DOI: 10.1007/978-3-642-38267-3_21, [PDF]

J.A. Iglesias, B. Berkels, M. Rumpf, O. Scherzer:
A thin shell approach to the registration of implicit surfaces.
In M. Bronstein, J. Favre, and K. Hormann, editors, VMV 2013 : Vision, Modeling and Visualization. Eurographics Association, 2013, pp. 89 - 96. DOI: 10.2312/PE.VMV.VMV13.089-096, [PDF]

C. Kirisits, L. F. Lang, O. Scherzer:
Optical flow on evolving surfaces with space and time regularisation.
NFN Technical Report No. 6 - Preprint on arXiv:1301.0322, University of Vienna, Austria, 2013.

M. Grasmair, M. Muszkieta, O. Scherzer:
An approach to the minimization of the Mumford-Shah functional using Γ-convergence and topological asymptotic expansion.
Jour. Interfaces and Free Boundaries, 2013, vol. 15 - 2, pp. 141 - 166. DOI: 10.4171/IFB/298, [PDF]

D. Mokriš B. Jüttler:
Dimensions and Bases of Hierarchical Tensor-Product Spline Spaces.
NFN Technical Report No. 5 - [PDF], superseded by NFN Technical Report No. 8

T. Takacs, B. Jüttler:
Derivatives of Isogeometric Test Functions.
NFN Technical Report No. 4 - [PDF].
Also in: Proc. Mathematics of Surfaces XIV. on CD. IMA, 2013, pp. 345 - 364.

C. Giannelli, B. Jüttler, H. Speleers:
Strongly stable bases for adaptively refined multilevel spline spaces.
NFN Technical Report No. 3 - [PDF]

E. Pilgerstorfer, B. Jüttler:
Quantifying the Influence of Domain Parameterization and Knot Spacing on Numerical Stability in Isogeometric Analysis.
NFN Technical Report No. 2 - [PDF]

G. Bal, W. Naetar, O. Scherzer, J. Schotland:
The Levenberg-Marquardt iteration for numerical inversion of the power density operator.
Journal of Inverse and Ill-posed Problems, 2013, Band 21, Heft 2, pp. 265-280. DOI: 10.1515/jip-2012-0091

A. Mantzaflaris, B. Jüttler:
Exploring matrix generation strategies in isogeometric analysis.
Technical Report No. 1 - [PDF]

C. Giannelli, B. Jüttler:
Bases and dimensions of bivariate hierarchical tensor-product splines.
Journal of Computational and Applied Mathematics 239 (2013), pp. 162 - 178. DOI: 10.1016/j.cam.2012.09.031, [PDF]

I. Z. Emiris, A. Mantzaflaris, B. Mourrain:
Voronoi diagrams of algebraic distance fuelds.
Computer-Aided Design 45.2 (2013). Solid and Physical Modeling 2012, pp. 511 - 516. ISSN: 0010-4485. DOI: 10.1016/j.cad.2012.10.043, [PDF]


2012

S. Kleiss, C. Pechstein, B. Jüttler, S. Tomar:
IETI - Isogeometric Tearing and Interconnecting.
Computer Methods in Applied Mechanics and Engineering 247- 248 (2012), pp. 201 - 215. DOI: 10.1016/j.cma.2012.08.007. [PDF]

C. Giannelli, B. Jüttler, H. Speleers:
THB-splines: The truncated basis for hierarchical splines.
Computer Aided Geometric Design 29 (2012), pp. 485 - 498, DOI: 10.1016/j.cagd.2012.03.025. [PDF]

B. Heeren, M. Rumpf, M. Wardetzky, B. Wirth:
Time-discrete geodesics in the space of shells.
Computer Graphics Forum, 31(5): pp. 1755 - 1764, August 2012. DOI: 10.1111/j.1467-8659.2012.03180.x

M. Rossgatterer, B. Jüttler, M. Kapl, G. Della Vecchia:
Medial design of blades for hydroelectric turbines and ship propellers.
Computers & Graphics, 2012, 36, pp. 434-444. DOI: 10.1016/j.cag.2012.03.022, [PDF]

S. Kleiss, B. Jüttler, W. Zulehner:
Enhancing isogeometric analysis by a finite element-based local refinement strategy.
Computer Methods in Applied Mechanics and Engineering 213-216 (2012), pp. 168 - 182. DOI: 10.1016/j.cma.2011.11.013, [PDF]

F. Brunero:
Discontinuous Galerkin Methods for Isogeometric Analysis.
Master thesis, Linz and Milano, 2012. [PDF]

Funding

Logo FWF