Currently, I am postdoc at the Discrete Differential Geometry Lab at the University of Goettingen.
Differential Geometry, Discretization of Partial Differential Equations, Physical Simulation, Variational Analysis.
Institute of Num. and Appl. Math
University of Göttingen
37083 Göttingen, Germany
Vox: +49 (0)551 39-12464
Fax: +49 (0)551 39-33944
Net: h.lastname (at) math.uni-goettingen.de
||Convergence of Discrete Elastica
Henrik Schumacher, Sebastian Scholtes, Max Wardetzky, Oberwolfach Reports No. 34/2012.
Abstract: Using techniques related to the notions of epigraph distance and Attouch-Wets-convergence, we show that under appropriate boundary conditions discrete elastica (i.e., polygonal curves of some fixed length that minimize a certain discrete bending energy) converge to smooth elastica (i.e., smooth curves of some given length that minimize smooth bending energy).