10 citations · 16 across the 5 of their papers we have counts for
6 papers · 1 filter
A family of immersed finite element spaces and applications to three dimensional interface problems
Long Chen, Ruchi Guo, Jun Zou
Maxwell interface problems are of great importance in many electromagnetic applications. Unfitted mesh methods are especially attractive in 3D computation as they can circumvent ge…
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 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…
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…
Nonconforming Virtual Element Method for -th Order Partial Differential Equations in
Long Chen, Xuehai Huang
A unified construction of the -nonconforming virtual elements of any order is developed on any shape of polytope in with constraints and .…
Convergence Analysis of the Fast Subspace Descent Methods for Convex Optimization Problems
Long Chen, Xiaozhe Hu, Steven M. Wise
The full approximation storage (FAS) scheme is a widely used multigrid method for nonlinear problems. In this paper, a new framework to design and analyze FAS-like schemes for conv…