9 citations · 16 across the 13 of their papers we have counts for
13 papers
An Efficient Parity-Blocked Method for Band-Structure Computation of 3D Anisotropic Phononic Crystals
Jingkai Zhang, Xing-Long Lyu, Tiexiang Li +1
Band-structure calculations for three-dimensional anisotropic phononic crystals require the repeated solution of large elastic generalized eigenvalue problems along Bloch paths. In…
A Novel Computational and Analytical Framework for 2D Quasiperiodic Helmholtz Eigenvalue Problems via the Projection Method
Teng-Chao Sun, Tiexiang Li, Wen-Wei Lin +1
In this paper, we propose a spectral framework that embeds 1D and 2D quasiperiodic Helmholtz eigenvalue problems into higher-dimensional (2D and 4D) periodic spaces via the project…
A Unifying Framework for Doubling Algorithms
Changli Liu, Tiexiang Li, Jungong Xue +2
The existing doubling algorithms have been proven efficient for several important nonlinear matrix equations arising from real-world engineering applications. In a nutshell, the al…
A Novel Double Periodic Conformal Flattening Algorithm for Genus-One Surfaces
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
In this paper, we propose novel parameterization methods for genus-one surfaces, called the Double Periodic Conformal Flattening (DPCF) algorithm. The desired conformal map is obta…
-Dimensional Volumetric Stretch Energy Minimization for Volume-/Mass-Preserving Parameterizations
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
In this paper, we develop an dimensional volumetric stretch energy (-VSE) functional for the volume-/mass-preserving parameterization of the -manifolds topologically equi…
A Robust Hessian-based Trust Region Algorithm for Spherical Conformal Parameterizations
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
Surface parameterizations are widely applied in computer graphics, medical imaging and transformation optics. In this paper, we rigorously derive the gradient vector and Hessian ma…
A mixed element scheme of Helmholtz transmission eigenvalue problem for anisotropic media
Qing Liu, Tiexiang Li, Shuo Zhang
In this paper, we study the Helmholtz transmission eigenvalue problem for inhomogeneous anisotropic media with the index of refraction in two and three dimension. St…
Bifurcation Analysis of the Eigenstructure of the Discrete Single-curl Operator in Three-dimensional Maxwell's Equations with Pasteur Media
Xin Liang, Zhen-Chen Guo, Tsung-Ming Huang +2
This paper focuses on studying the bifurcation analysis of the eigenstructure of the -parameterized generalized eigenvalue problem (-GEP) arising in three-dimensional (3D) so…
On the solvability of an indefinite nonlinear Kirchhoff equation via associated eigenvalue problems
Han-Su Zhang, Tiexiang Li, Tsung-fang Wu
We study the non-existence, existence and multiplicity of positive solutions to the following nonlinear Kirchhoff equation:% \begin{equation*} \left\{ \begin{array}{l} -M\left( \in…
Eigenvalue Problems of Discrete Curl Operators on Various Lattices for Simulating Three Dimensional Photonic Crystals
Huang Tsung-Ming, Li Tiexiang, Li Wei-De +3
There are many numerical methods for simulate three-dimensional photonic crystals, after comparison, we choose Yee's scheme to be our discrete method. So far, this method can only…
Solving Three Dimensional Maxwell Eigenvalue Problem with Fourteen Bravais Lattices
Tsung-Ming Huang, Tiexiang Li, Wei-De Li +3
Calculation of band structure of three dimensional photonic crystals amounts to solving large-scale Maxwell eigenvalue problems, which are notoriously challenging due to high multi…
Structure-Preserving ΓQR and Γ-Lanczos Algorithms for Bethe-Salpeter Eigenvalue Problems
Zhen-Chen Guo, Tiexiang Li, Ying-Ying Zhou
To solve the Bethe-Salpeter eigenvalue problem with distinct sizes, two efficient methods, called ΓQR algorithm and Γ-Lanczos algorithm, are proposed in this paper. Both algorithms…
Intermittent behaviors in weakly coupled map lattices
Tiexiang Li, Wen-wei Lin, Yiqian Wang +1
In this paper, we study intermittent behaviors of coupled piecewise-expanding map lattices with two nodes and a weak coupling. We show that the successive phase transition between…