6 papers · 1 filter
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…