155 citations · 987 across the 104 of their papers we have counts for
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A Unified Study of Continuous and Discontinuous Galerkin Methods
Qingguo Hong, Fei Wang, Shuonan Wu +1
A unified study is presented in this paper for the design and analysis of different finite element methods (FEMs), including conforming and nonconforming FEMs, mixed FEMs, hybrid F…
Interior Penalty Nonconforming Finite Element Methods for -th Order PDEs in
Shuonan Wu, Jinchao Xu
In general -dimensional simplicial meshes, we propose a family of interior penalty nonconforming finite element methods for -th order partial differential equations, where $…
A Derandomized Algorithm for RP-ADMM with Symmetric Gauss-Seidel Method
Jinchao Xu, Kailai Xu, Yinyu Ye
For multi-block alternating direction method of multipliers(ADMM), where the objective function can be decomposed into multiple block components, we show that with block symmetric…
A unified approach to the design and analysis of AMG
Jinchao Xu, Hongxuan Zhang, Ludmil Zikatanov
In this work, we present a general framework for the design and analysis of two-level AMG methods. The approach is to find a basis for locally optimal or quasi-optimal coarse space…
Nonconforming Finite Element Spaces for -th Order Partial Differential Equations on Simplicial Grids When
Shuonan Wu, Jinchao Xu
In this paper, we propose a family of nonconforming finite elements for -th order partial differential equations in on simplicial grids when . This family…
On the Weyl's law for discretized elliptic operators
Jinchao Xu, Hongxuan Zhang, Ludmil Zikatanov
In this paper we give an estimate on the asymptotic behavior of eigenvalues of discretized elliptic boundary values problems. We first prove a simple min-max principle for selfadjo…