Beaufort, Pierre-Alexandre ; Université Catholique de Louvain, IMMC, Avenue Georges Lemaitre 4, Louvain-la-Neuve, Belgium, Université de Liége, Montefiore Institute, Allée de la Découverte 10, Liége, Belgium
Georgiadis, Christos
Lambrechts, Jonathan
Henrotte, François ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Geuzaine, Christophe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Remacle, Jean-François
Language :
English
Title :
Computing cross fields A PDE approach based on the Ginzburg-Landau theory
C.K. Lee, and S. Lo A new scheme for the generation of a graded quadrilateral mesh Computers & structures 52 1994 847 857
J.-F. Remacle, J. Lambrechts, B. Seny, E. Marchandise, A. Johnen, and C. Geuzaine Blossom-Quad: A non-uniform quadrilateral mesh generator using a minimum-cost perfect-matching algorithm International Journal for Numerical Methods in Engineering 89 2012 1102 1119
D. Bommes, H. Zimmer, L. Kobbelt, H. Zimmer, and L. Kobbelt Mixed-integer quadrangulation ACM Transactions on Graphics 28 2009 1
F. Kälberer, M. Nieser, and K. Polthier Quadcover-surface parameterization using branched coverings Computer graphics forum, volume 26, Wiley Online Library 2007 375 384
N. Kowalski, F. Ledoux, and P. Frey A pde based approach to multidomain partitioning and quadrilateral meshing Proceedings of the 21st international meshing roundtable 2013 137 154
Y.-K. Lai, M. Jin, X. Xie, Y. He, J. Palacios, E. Zhang, S.-M. Hu, and X. Gu Metric-driven rosy field design and remeshing IEEE Transactions on Visualization and Computer Graphics 16 2010 95 108
J. Palacios, and E. Zhang Rotational symmetry field design on surfaces ACM Transactions on Graphics (TOG) 26 2007 55
N. Ray, B. Vallet, W.C. Li, and B. Lévy N-symmetry direction field design ACM Transactions on Graphics 27 2008 1 13
Y.T.P.A.D. Cohen, and S.M. Desbrun Designing quadrangulations with discrete harmonic forms Eurographics symposium on geometry processing 2006 1 10
A. Vaxman, M. Campen, O. Diamanti, D. Panozzo, D. Bommes, K. Hildebrandt, and M. Ben-Chen Directional field synthesis, design, and processing Computer Graphics Forum, volume 35, Wiley Online Library 2016 545 572
D. Eppstein, Nineteen proofs of Euler's formula: V - E + F = 2, Information and Computer Sciences, University of California, Irvine (2009).
F. Bethuel, H. Brezis, F. Hélein, Ginzburg-Landau Vortices, volume 13, Springer Science & Business Media, 2012.
M. Crouzeix, and P.-A. Raviart Conforming and nonconforming finite element methods for solving the stationary stokes equations i Revue française d'automatique, informatique, recherche opérationnelle. Mathématique 7 1973 33 75
N. Ray, D. Sokolov, and B. Lévy Practical 3d frame field generation ACM Transactions on Graphics (TOG) 35 2016 233
E.B. Saff, and A.B. Kuijlaars Distributing many points on a sphere The mathematical intelligencer 19 1997 5 11
P.D. Dragnev, D. Legg, and D. Townsend On the separation of logarithmic points on the sphere, in: Approximation Theory X: Abstract and Classical Analysis 2002 Vanderbilt University Press Nashville, TN 137 144
M. Fekete Über die verteilung der wurzeln bei gewissen algebraischen gleichungen mit ganzzahligen koeffizienten Mathematische Zeitschrift 17 1923 228 249
C. Georgiadis, P.-A. Beaufort, J. Lambrechts, J.-F. Remacle, Mesh generation on the sphere using cross and asterisk fields (2017). Submitted as a research note for the IMR26.
C. Geuzaine, and J.-F. Remacle Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities International Journal for Numerical Methods in Engineering 79 2009 1309 1331