Veröffentlichungen von Paola Pozzi
Publikationen und Preprints:
- F. Cagliari, M. Ferri and P. Pozzi
Size functions from a categorical viewpoint
Acta Appl. Math. 67 (2001), no. 3, 225-235 - P. Pozzi
L2- estimate for the discrete Plateau Problem
Math. Comp. 73 (2004), no. 248, 1763-1777 - P. Pozzi
The discrete Douglas Problem: theory and numerics
Interfaces Free Bound. 6 (2004), no. 2, 219-252 - P. Pozzi
The discrete Douglas Problem: convergence results
IMA J. Numer. Anal. 25 (2005), no. 2, 337-378 - M. Hegland and P. Pozzi
Concentration of measure and the approximation of functions of many variables
Mathematical methods for curves and surfaces: Tromsø, 2004, 199-212,
Mod. Methods Math., Nashboro Press, Brentwood, TN, 2005 - P. Pozzi
Anisotropic curve shortening flow in higher codimension
Math. Methods Appl. Sci. 30 (2007), no. 11, 1243-1281 - P. Pozzi
Anisotropic mean curvature flow for two dimensional surfaces in higher codimension: a numerical scheme
Interfaces Free Bound. 10 (2008), no. 4, 539-576 - P. Pozzi
Anisotropic mean curvature flow in higher codimension
Proc. Appl. Math. Mech. 8 (2008), no. 1, 10849-10850 - P. Pozzi
On the gradient flow for the anisotropic area functional
Math. Nachr. 285 (2012), no. 5-6, 707-726 - P. Pozzi, Ph.Reiter
Willmore-type regularization of mean curvature flow in the presence of a non-convex anisotropy. The graph setting: analysis of the stationary case and numerics for the evolution problem
Adv. Differential Equations 18 (2013), no. 3-4, 265-308 - P. Pozzi, Ph. Reiter
Approximation of non-convex anisotropic energies via Willmore energy, CD-ROM Proceedings of the 6th European Congress on
Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), September 10-14, 2012, Vienna, Austria, Eds.: Eberhardsteiner, J.; Böhm, H.J.; Rammerstorfer, F.G., Publisher: Vienna University of Technology, Austria,ISBN:978-3-9502481-9-7. - A. Dall'Acqua, P. Pozzi
A Willmore-Helfrich L2-flow of curves with natural boundary conditions.
Comm. Anal. Geom. 22 (2014), no.4, 617--669.
(Preprint version: ArXiv:1211.0949 ) - R. Perl, P. Pozzi, and M. Rumpf
A nested variational time discretization for parametric anisotropic willmore flow.
In: Singular Phenomena and Scaling in Mathematical Models, M. Griebel editor, Springer 2014. - A. Dall'Acqua, C.-C. Lin, P. Pozzi
Evolution of open elastic curves in Rn subject to fixed length and natural boundary conditions.
Analysis (Berlin) 34 (2014), no.2, 209-222. - P. Pozzi
Computational anisotropic Willmore flow.
Interfaces Free Bound. 17 (2015), no. 2, 189-232. - A. Dall'Acqua, C.-C. Lin, P. Pozzi
A gradient flow for open elastic curves with fixed length and clamped ends.
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XVII (2017), 1031-1066. - A. Dall'Acqua, P. Pozzi
On a Willmore-Helfrich L2-flow of open curves in Rn: a different approach.
RIMS Kokyuroku,1974, (2015) 68-82. - P. Pozzi, Ph. Reiter
On non-convex anisotropic surface energy regularized via the Willmore functional: the two-dimensional graph setting.
ESAIM: Control, Optimisation and Calculus of Variations 23 (2017) 1047-1071.
DOI: http://dx.doi.org/10.1051/cocv/2016024 - P. Pozzi, B. Stinner
Curve shortening flow coupled to lateral diffusion.
Numer. Math. 135 (2017), no. 4, 1171-1205 ( DOI 10.1007/s00211-016-0828-8),
(Preprint version: arXiv:1510.06173) - A. Dall'Acqua, P. Pozzi, A. Spener
The Lojasiewicz-Simon gradient inequality for open elastic curves.
J. Differential Equations, 261 (2016), no. 3, 2168–2209.
doi: 10.1016/j.jde.2016.04.027 .
(Preprint version: arXiv:1604.07559) - G. Mercier, M. Novaga, P. Pozzi
Anisotropic curvature flow of immersed curves.
Comm. Anal. Geom. 27 (2019), no. 4, 937-964.
(Preprint version: arXiv:1605.07860) - U. Dierkes, T. Jenschke, P. Pozzi
Approximation of minimal surfaces with free boundaries.
Interfaces Free Bound. 20 (2018), no. 4, 551–576.
(Preprint version 2017: SM-UDE-813) - P. Pozzi, B. Stinner
Elastic flow interacting with a lateral diffusion process: The one-dimensional graph case.
IMA Journal of Numerical Analysis, Volume 39, Issue 1, January 2019, Pages 201–234, https://doi.org/10.1093/imanum/dry004
(Preprint version: arXiv:1707.08643) - Anna Dall’Acqua, Tim Laux, Chun-Chi Lin, Paola Pozzi, Adrian Spener
The elastic flow of curves on the sphere.
Geom. Flows 3 (2018), 1-13. - S. Okabe, P. Pozzi, G. Wheeler
A gradient flow for the p-elastic energy defined on closed planar curves.
Math. Ann. (2019). https://doi.org/10.1007/s00208-019-01885-6
(Preprint version: arXiv:1811.06608) - A. Dall'Acqua, C.-C. Lin, P. Pozzi
Elastic flow of networks: long-time existence result.
Accepted for publication in Geometric Flows .
(Preprint version: arXiv:1812.11367) - M. Novaga, P. Pozzi
A second order gradient flow of p-elastic planar networks.
Accepted for publication in the SIAM Journal on Mathematical Analysis.
(Preprint version: arXiv:1905.06742) - M. Novaga, P. Pozzi
Uniqueness for a second order gradient flow of elastic networks.
(Preprint 2019, for Proceedings ENUMATH2019) - P. Pozzi, B. Stinner
A converging finite element scheme for motion by curvature of a network with a triple junction.
(Preprint 2019: arXiv:1911.09636) - A. Dall'Acqua, C.-C. Lin, P. Pozzi
Elastic flow of networks: short-time existence result.
(Preprint 2019: arXiv:1912.09626)
Research Reports:
- P. Pozzi: On anisotropic Willmore Flow, Oberwolfach Reports, Volume 55, 2015, (DOI: 10.4171/OWR/2015/55).
- P. Pozzi: On the flow of elastic networks, Oberwolfach Reports, Volume 3, 2019, (DOI: 10.4171/OWR/2019/3).