A simple scheme for the approximation of self-avoiding inextensible curves

作者:Bartels Soeren*; Reiter Philipp; Riege Johannes
来源:IMA Journal of Numerical Analysis, 2018, 38(2): 543-565.
DOI:10.1093/imanum/drx021

摘要

The discretization of a tangent-point potential with a C-1 conforming finite element method is investigated. Error bounds for the practical evaluation of the potential and its variation are derived. A numerical scheme for the minimization of a weighted sum of bending energy and potential is devised and tested numerically for open and closed curves.

  • 出版日期2018-4