2 papers
math.NA2026
Global and local helicity-preservation in the finite element discretization of magnetic relaxation
Patrick E. Farrell, Mingdong He, Kaibo Hu +1
Magnetic relaxation drives plasma toward lower-energy equilibria under helicity constraints. In ideal magnetohydrodynamics (MHD), helicity is locally conserved, while resistive the…
math.NA2024
Uniformly -stable elements for the elasticity complex
Francis R. A. Aznaran, Kaibo Hu, Charles Parker
For the discretization of symmetric, divergence-conforming stress tensors in continuum mechanics, we prove inf-sup stability bounds which are uniform in polynomial degree and mesh…