On the minima of the Willmore energy for large genus Ernst Kuwert 1 , Yuxiang Li2 Mathematisches Institut der Albert-Ludwigs-Universit¨at Freiburg, Eckerstraße 1, DFreiburg, Germany, email:

Source URL: faculty.math.tsinghua.edu.cn

Research Statement Theory and Computation of Optimal Geometry John M. Sullivan July 2003 My research in optimal geometry involves a unique combination of mathematical theory and numerical experiments. Traditionally, pure

Source URL: torus.math.uiuc.edu

• Geometric topology
• Differential geometry
• Surfaces
• Differential topology
• Willmore energy
• Minimal surface
• Foam
• Minimax eversion
• Differential geometry of surfaces
• Ropelength
• Knot
• Sphere

How much does it cost to evert the sphere? Tristan Rivière (ETH Zürich) How much does it cost...to knot a closed simple curve ? To cover the sphere twice ? to realize such or such homotopy class ? ...etc. All these que

Source URL: www.7ecm.de

• Differential geometry
• Surfaces
• Differential topology
• Geometric flow
• Willmore energy
• Topology
• Homotopy
• Eversion
• Sphere

BARTON WILLMORE ENERGY UPDATE bartonwillmore.co.uk April 2015

Source URL: www.bartonwillmore.co.uk

A Phase Field based PDE Constrained Optimization Approach to Time Discrete Willmore Flow Martina Franken, Martin Rumpf and Benedikt Wirth A novel phase field model for Willmore flow is proposed based on a nested variatio

Source URL: numod.ins.uni-bonn.de

• Geometric flow
• Surfaces
• Willmore energy
• Continuous function
• Heat equation
• Curvature
• Discretization
• Symbol
• Mathematical analysis
• Mathematics
• Differential geometry

A finite element method for surface restoration with smooth boundary conditions U. Clarenz, U. Diewald, G. Dziuk, M. Rumpf, R. Rusu Abstract In surface restoration usually a damaged region of a surface has to be replaced

Source URL: numod.ins.uni-bonn.de

• Surfaces
• Differential geometry
• Multivariable calculus
• Curvature
• Willmore energy
• Calculus of variations
• Differential geometry of surfaces
• Partial differential equation
• Differential equation
• Mathematical analysis
• Calculus
• Geometry

1 Energy Minimizers for Curvature-Based Surface Functionals Pushkar Joshi1 and Carlo Séquin2 [removed], [removed]

Source URL: www.cs.berkeley.edu

• Mathematical analysis
• Curvature
• Willmore energy
• Gaussian curvature
• Computer representation of surfaces
• Differential geometry of surfaces
• Freeform surface modelling
• Gauss–Bonnet theorem
• Sphere
• Geometry
• Surfaces
• Differential geometry