16 citations · 16 across the 3 of their papers we have counts for
5 papers
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…