Intrinsic Finite Element Error Analysis on Manifolds with Regge Metrics, with Applications to Calculating Connection Forms

ES Gawlik, J McKee - arXiv preprint arXiv:2410.15579, 2024 - arxiv.org
We present some aspects of the theory of finite element exterior calculus as applied to
partial differential equations on manifolds, especially manifolds endowed with an …

A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations

J Droniou, M Hanot, T Oliynyk - arXiv preprint arXiv:2401.16130, 2024 - arxiv.org
We design in this work a discrete de Rham complex on manifolds. This complex, written in
the framework of exterior calculus, is applicable on meshes on the manifold with generic …