56 citations · 368 across the 53 of their papers we have counts for
7 papers · 2 filters
-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…
Geometric decompositions of the simplicial lattice and smooth finite elements in arbitrary dimension
Long Chen, Xuehai Huang
Recently -conforming finite elements on simplexes in arbitrary dimension are constructed by Hu, Lin and Wu. The key in the construction is a non-overlapping decomposition of t…
Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions
Shuhao Cao, Long Chen, Ruchi Guo +1
This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages of both body-fitted mesh methods and unfitted mesh m…
A finite element elasticity complex in three dimensions
Long Chen, Xuehai Huang
A finite element elasticity complex on tetrahedral meshes is devised. The conforming finite element is the smooth finite element developed by Neilan for the velocity field in…
Finite elements for div and divdiv conforming symmetric tensors in arbitrary dimension
Long Chen, Xuehai Huang
Several div-conforming and divdiv-conforming finite elements for symmetric tensors on simplexes in arbitrary dimension are constructed in this work. The shape function space is fir…
A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh
Shuhao Cao, Long Chen, Ruchi Guo
A virtual element method (VEM) with the first order optimal convergence order is developed for solving two-dimensional Maxwell interface problems on a special class of polygonal me…
Error analysis of a decoupled finite element method for quad-curl problems
Shuhao Cao, Long Chen, Xuehai Huang
Finite element approximation to a decoupled formulation for the quad--curl problem is studied in this paper. The difficulty of constructing elements with certain conformity to the…