Tangential Errors of Tensor Surface Finite Elements
Numerical Analysis
2022-05-26 v2 Numerical Analysis
Abstract
We discretize a tangential tensor field equation using a surface-finite element approach with a penalization term to ensure almost tangentiality. It is natural to measure the quality of such a discretization intrinsically, i.e., to examine the tangential convergence behavior in contrast to the normal behavior. We show optimal order convergence with respect to the tangential quantities in particular for an isogeometric penalization term that is based only on the geometric information of the discrete surface.
Cite
@article{arxiv.2106.01000,
title = {Tangential Errors of Tensor Surface Finite Elements},
author = {Hanne Hardering and Simon Praetorius},
journal= {arXiv preprint arXiv:2106.01000},
year = {2022}
}
Comments
44 pages