3 citations · 3 across the 7 of their papers we have counts for
7 papers
Fast Maxwell Solvers Based on Exact Discrete Eigen-Decompositions I. Two-Dimensional Case
Lixiu Wang, Lueling Jia, Zijian Cao +2
In this paper, we propose fast solvers for Maxwell's equations in rectangular domains. We first discretize the simplified Maxwell's eigenvalue problems by employing the lowest-orde…
Fully H(gradcurl)-nonconforming Finite Element Method for The Singularly Perturbed Quad-curl Problem on Cubical Meshes
Lixiu Wang, Mingyan Zhang, Qian Zhang
In this paper, we develop two fully nonconforming (both H(grad curl)-nonconforming and H(curl)-nonconforming) finite elements on cubical meshes which can fit into the Stokes comple…
Spurious solutions for high order curl problems
Kaibo Hu, Qian Zhang, Jiayu Han +2
We investigate numerical solutions of high order curl problems with various formulations and finite elements. We show that several classical conforming finite elements lead to spur…
H()-conforming quadrilateral spectral element method for quad-curl problems
Lixiu Wang, Weikun Shan, Huiyuan Li +1
In this paper, we propose an -conforming quadrilateral spectral element method to solve quad-curl problems. Starting with generalized Jacobi polynomials, we first…
A priori and a posteriori error estimates for the quad-curl eigenvalue problem
Lixiu Wang, Qian Zhang, Jiguang Sun +1
In this paper, we propose a new family of H(curl^2)-conforming elements for the quad-curl eigenvalue problem in 2D. The accuracy of this family is one order higher than that in [32…
An (curl)-conforming finite element in 2D and its applications to the quad-curl problem
Qian Zhang, Lixiu Wang, Zhimin Zhang
In this paper, we first construct the (curl)-conforming finite elements both on a rectangle and a triangle. They possess some fascinating properties which have been proven by…
The Solvability Of Magneto-heating Coupling Model With Turbulent Convection Zone And The Flow Fields
Changhui Yao, Yanping Lin, Lixiu Wang +1
In this paper, the magneto-heating coupling model is studied in details, with turbulent convection zone and the flow field involved. Our main work is to analyze the well-posed prop…