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math.NA2024
A Primal Staggered Discontinuous Galerkin Method on Polytopal Meshes
L. Chen, X. Huang, E. Park +1
This paper introduces a novel staggered discontinuous Galerkin (SDG) method tailored for solving elliptic equations on polytopal meshes. Our approach utilizes a primal-dual grid fr…
math.NA2024
Tangential-Normal Decompositions of the Second Family of Finite Element Differential Forms
Long Chen, Xuehai Huang
This paper introduces a novel tangential-normal (-) decomposition for the second family of finite element differential forms, presenting a new framework for constructing base…