16 citations · 25 across the 7 of their papers we have counts for
7 papers · 1 filter
Mixed finite element methods for the ferrofluid model with magnetization paralleled to the magnetic field
Yongke Wu, Xiaoping Xie
Mixed finite element methods are considered for a ferrofluid flow model with magnetization paralleled to the magnetic field. The ferrofluid model is a coupled system of the Maxwell…
Energy-preserving Mixed finite element methods for a ferrofluid flow model
Yongke Wu, Xiaoping Xie
In this paper, we develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis [Soviet Physics JETP, 1972]. We show that the energy stability…
Energy-preserving mixed finite element methods for the Hodge wave equation
Yongke Wu, Yanhong Bai
Energy-preserving numerical methods for solving the Hodge wave equation is developed in this paper. Based on the de Rham complex, the Hodge wave equation can be formulated as a fir…
Convergence Analysis for A Class of Iterative Methods for Solving Saddle Point Systems
Long Chen, Yongke Wu
Convergence analysis of a nested iterative scheme proposed by Bank,Welfert and Yserentant (BWY) ([Numer. Math., 666: 645-666, 1990]) for solving saddle point system is presented. I…
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…
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…
Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems
Li Wang, Xiaoping Xie
This paper analyzes rectangular finite element methods for fourth order elliptic singular perturbation problems. We show that the non- rectangular Morley element is uniformly…