Virtual element methods for a quad-curl problem on general planar domains
arXiv:2604.1840690.8h-index: 42
AI Analysis
This work provides a numerical method for a challenging PDE problem on non-standard domains, but it is an incremental extension of existing virtual element techniques.
The paper develops virtual element methods for solving the quad-curl problem on general polygonal domains, using Hodge decomposition of divergence-free vector fields. Numerical results confirm the theoretical analysis.
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.