56 citations · 368 across the 53 of their papers we have counts for
4 papers · 2 filters
Stabilized mixed finite element methods for linear elasticity on simplicial grids in
Long Chen, Jun Hu, Xuehai Huang
In this paper, we design two classes of stabilized mixed finite element methods for linear elasticity on simplicial grids. In the first class of elements, we use $\boldsymbol{H}(\m…
Fast multilevel solvers for a class of discrete fourth order parabolic problems
Bin Zheng, Luoping Chen, Xiaozhe Hu +3
In this paper, we study fast iterative solvers for the solution of fourth order parabolic equations discretized by mixed finite element methods. We propose to use consistent mass m…
Multigrid Methods for Hellan-Herrmann-Johnson Mixed Method of Kirchhoff Plate Bending Problems
Long Chen, Jun Hu, Xuehai Huang
A V-cycle multigrid method for the Hellan-Herrmann-Johnson (HHJ) discretization of the Kirchhoff plate bending problems is developed in this paper. It is shown that the contraction…
Equivalence of Weak Galerkin Methods and Virtual Element Methods for Elliptic Equations
Long Chen
We propose a modification of the weak Galerkin methods and show its equivalence to a new version of virtual element methods. We also show the original weak Galerkin method is equiv…