359 citations · 2k across the 127 of their papers we have counts for
7 papers · 1 filter
Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions
Wei Chen, Jun Hu, Min Zhang
In this study, the nonconforming finite elements of order two and order three are constructed and exploited for the Stokes problem. The moments of order up to () on al…
Nonconforming finite elements for the Brinkman and problems on cubical meshes
Qian Zhang, Min Zhang, Zhimin Zhang
We propose two families of nonconforming elements on cubical meshes: one for the problem and the other for the Brinkman problem. The element for the $-\t…
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes
Weizhang Huang, Ruo Li, Jianxian Qiu +1
A well-balanced moving mesh discontinuous Galerkin (DG) method is proposed for the numerical solution of the Ripa model -- a generalization of the shallow water equations that acco…
New conforming finite element divdiv complexes in three dimensions
Jun Hu, Yizhou Liang, Rui Ma +1
In this paper, the first family of conforming finite element divdiv complexes on cuboid grids in three dimensions is constructed. Besides, a new family of conforming finite element…
A Metric Tensor Approach to Data Assimilation with Adaptive Moving Meshes
Cassidy Krause, Weizhang Huang, David B Mechem +2
Adaptive moving spatial meshes are useful for solving physical models given by time-dependent partial differentialequations. However, special consideration must be given when combi…
A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes
Min Zhang, Weizhang Huang, Jianxian Qiu
The selection of time step plays a crucial role in improving stability and efficiency in the Discontinuous Galerkin (DG) solution of hyperbolic conservation laws on adaptive moving…