Superconvergence of differential structure for finite element methods on perturbed surface meshes
Numerical Analysis
2025-01-06 v6 Numerical Analysis
Differential Geometry
Abstract
Superconvergence of differential structure on discretized surfaces is studied in this paper. The newly introduced geometric supercloseness provides us with a fundamental tool to prove the superconvergence of gradient recovery on deviated surfaces. An algorithmic framework for gradient recovery without exact geometric information is introduced. Several numerical examples are documented to validate the theoretical results.
Keywords
Cite
@article{arxiv.1910.14093,
title = {Superconvergence of differential structure for finite element methods on perturbed surface meshes},
author = {Guozhi Dong and Hailong Guo and Ting Guo},
journal= {arXiv preprint arXiv:1910.14093},
year = {2025}
}
Comments
Published online in Journal of Computational Mathematics