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math.NA2026
Finite element discretization of Yang--Mills connections
Geir Bogfjellmo, Charles Curry, Andreas Myklebust
We propose a finite element method for Yang--Mills connections on nontrivial principal bundles with abelian structure group. Local connection forms satisfy internal jump conditions…
math.NA2017★ 83 cited
What is a post-Lie algebra and why is it useful in geometric integration
Charles Curry, Kurusch Ebrahimi-Fard, Hans Munthe-Kaas
We explain the notion of a post-Lie algebra and outline its role in the theory of Lie group integrators.