Variational Convergence of Discrete Minimal Surfaces
Numerical Analysis
2017-02-20 v2
Abstract
Building on and extending tools from variational analysis, we prove Kuratowski convergence of sets of simplicial area minimizers to minimizers of the smooth Douglas-Plateau problem under simplicial refinement. This convergence is with respect to a topology that is stronger than uniform convergence of both positions and surface normals.
Keywords
Cite
@article{arxiv.1605.05285,
title = {Variational Convergence of Discrete Minimal Surfaces},
author = {Henrik Schumacher and Max Wardetzky},
journal= {arXiv preprint arXiv:1605.05285},
year = {2017}
}
Comments
40 pages, 4 figures