33 citations · 58 across the 20 of their papers we have counts for
4 papers · 1 filter
A mixed-element two-grid discretization for Helmholtz transmission eigenvalues
Yao Luo, Yidu Yang
The Helmholtz transmission eigenvalue problem has received much concern in materials science, so it's significant to explore the efficient calculational method of the problem to ma…
A New Multigrid Finite Element Method for the Transmission Eigenvalue Problems
Jiayu Han, Yidu Yang, Hai Bi
Numerical methods for the transmission eigenvalue problems are hot topics in recent years. Based on the work of Lin and Xie [Math. Comp., 84(2015), pp. 71-88], we build a multigrid…
An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem
Hai Bi, Hao Li, Yidu Yang
This paper proposes and analyzes an a posteriori error estimator for the finite element multi-scale discretization approximation of the Steklov eigenvalue problem. Based on the a p…
Non-conforming finite element methods for transmission eigenvalue problem
Yidu Yang, Jiayu Han, Hai Bi
The transmission eigenvalue problem is an important and challenging topic arising in the inverse scattering theory. In this paper, for the Helmholtz transmission eigenvalue problem…