56 citations · 368 across the 53 of their papers we have counts for
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Multigrid Methods for A Mixed Finite Element Method of The Darcy-Forchheimer Model
Jian Huang, Long Chen, Hongxing Rui
An efficient nonlinear multigrid method for a mixed finite element method of the Darcy-Forchheimer model is constructed in this paper. A Peaceman-Rachford type iteration is used as…
Convergence of Adaptive Mixed Finite Element Methods for the Hodge Laplacian Equation: without harmonic forms
Long Chen, Yongke Wu
Finite element exterior calculus (FEEC) has been developed as a systematical framework for constructing and analyzing stable and accurate numerical method for partial differential…
Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions
Long Chen, Xuehai Huang
A framework to systematically decouple high order elliptic equations into combination of Poisson-type and Stokes-type equations is developed. The key is to systematically construct…
Fast Auxiliary Space Preconditioner for Linear Elasticity in Mixed Form
Long Chen, Jun Hu, Xuehai Huang
A block diagonal preconditioner with the minimal residual method and a block triangular preconditioner with the generalized minimal residual method are developed for Hu-Zhang mixed…
MultiGrid Preconditioners for Mixed Finite Element Methods of Vector Laplacian
Long Chen, Yongke Wu, Lin Zhong +1
Due to the indefiniteness and poor spectral properties, the discretized linear algebraic system of the vector Laplacian by mixed finite element methods is hard to solve. A block di…
Multigrid Methods for Constrained Minimization Problems and Application to Saddle Point Problems
Long Chen
The first order condition of the constrained minimization problem leads to a saddle point problem. A multigrid method using a multiplicative Schwarz smoother for saddle point probl…