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math.NA2023★ 2 cited
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements
Chunyu Chen, Long Chen, Xuehai Huang +1
This study investigates high-order face and edge elements in finite element methods, with a focus on their geometric attributes, indexing management, and practical application. The…
math.NA2023
A New Div-Div-Conforming Symmetric Tensor Finite Element Space with Applications to the Biharmonic Equation
Long Chen, Xuehai Huang
A new -conforming finite element is presented, which avoids the need for super-smoothness by redistributing the degrees of freedom to edges and faces. This lead…