56 citations · 368 across the 53 of their papers we have counts for
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Discrete Hessian complexes in three dimensions
Long Chen, Xuehai Huang
A family of conforming virtual element Hessian complexes on tetrahedral meshes are constructed based on decompositions of polynomial tensor spaces. They are applied to discretize t…
Convergence and optimality of an adaptive modified weak Galerkin finite element method
Yingying Xie, Shuhao Cao, Long Chen +1
An adaptive modified weak Galerkin method (AmWG) for an elliptic problem is studied in this paper, in addition to its convergence and optimality. The modified weak Galerkin bilinea…
Finite elements for divdiv-conforming symmetric tensors in three dimensions
Long Chen, Xuehai Huang
Two types of finite element spaces on a tetrahedron are constructed for divdiv conforming symmetric tensors in three dimensions. The key tools of the construction are the decomposi…
Randomized Fast Subspace Descent Methods
Long Chen, Xiaozhe Hu, Huiwen Wu
Randomized Fast Subspace Descent (RFASD) Methods are developed and analyzed for smooth and non-constraint convex optimization problems. The efficiency of the method relies on a spa…
Finite elements for divdiv-conforming symmetric tensors
Long Chen, Xuehai Huang
Two types of finite element spaces on triangles are constructed for div-div conforming symmetric tensors. Besides the normal-normal continuity, the stress tensor is continuous at v…