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math.NA2025
Complexes from Complexes: Finite Element Complexes in Three Dimensions
Long Chen, Xuehai Huang
In the field of solving partial differential equations (PDEs), Hilbert complexes have become highly significant. Recent advances focus on creating new complexes using the Bernstein…
math.NA2024
-conforming Finite Element Tensors with Constraints
Long Chen, Xuehai Huang
A unified construction of -conforming finite element tensors, including vector element, symmetric matrix element, traceless matrix element, and, in general, tensor…
math.NA2024
Finite Element Complexes in Two Dimensions
Long Chen, Xuehai Huang
In this study, two-dimensional finite element complexes with various levels of smoothness, including the de Rham complex, the curldiv complex, the elasticity complex, and the divdi…