Distributional Finite Element curl div Complexes and Application to Quad Curl Problems
Numerical Analysis
2025-02-06 v5 Numerical Analysis
Abstract
The paper addresses the challenge of constructing finite element curl div complexes in three dimensions. Tangential-normal continuity is introduced in order to develop distributional finite element curl div complexes. The spaces constructed are applied to discretize the quad curl problem, demonstrating optimal order of convergence. Furthermore, a hybridization technique is proposed, demonstrating its equivalence to nonconforming finite elements and weak Galerkin methods.
Cite
@article{arxiv.2311.09051,
title = {Distributional Finite Element curl div Complexes and Application to Quad Curl Problems},
author = {Long Chen and Xuehai Huang and Chao Zhang},
journal= {arXiv preprint arXiv:2311.09051},
year = {2025}
}
Comments
28 pages, 4 figures