We design and analyze virtual element methods for a quad-curl problem on general polygonal domains that are based on the Hodge decomposition of divergence-free vector fields. Numerical results that corroborate the theoretical analysis are also presented.
@article{arxiv.2604.18406,
title = {Virtual element methods for a quad-curl problem on general planar domains},
author = {Susanne C. Brenner and Li-yeng Sung and Jai Tushar},
journal= {arXiv preprint arXiv:2604.18406},
year = {2026}
}