3 papers
math.NA2025
Superconvergent and Divergence-Free Mixed Finite Element Methods for The Stokes Equation
Long Chen, Xuehai Huang, Chao Zhang +1
This paper develops divergence-free mixed finite element methods for the Stokes equation. Using H(div)-conforming velocities and discontinuous pressures ensures the inf-sup conditi…
math.NA2023
Distributional Finite Element curl div Complexes and Application to Quad Curl Problems
Long Chen, Xuehai Huang, Chao Zhang
The paper addresses the challenge of constructing finite element curl div complexes in three dimensions. Tangential-normal continuity is introduced in order to develop distribution…
math.NA2023
New low-order mixed finite element methods for linear elasticity
Xuehai Huang, Chao Zhang, Yaqian Zhou +1
New low-order -conforming finite elements for symmetric tensors are constructed in arbitrary dimension. The space of shape functions is defined by enriching the sy…