6 papers
A Novel Bijective Angle and Volume-preservation Balanced Parameterization for -dimensional Manifolds
Tiexiang Li, Wen-Wei Lin, Zhong-Heng Tan +2
We propose a unified framework for balanced and bijective parameterizations of -dimensional manifolds. The proposed energy combines conformal and volume-preserving terms to cont…
A Unified DeepONet Framework for Logarithmically Stable Infinite-Dimensional Inverse Problems
Wen-Jie Wu, Tiexiang Li, Wen-Wei Lin
We develop a unified DeepONet framework for logarithmically stable inverse problems between infinite-dimensional function spaces, with inverse acoustic scattering as a model applic…
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 Algorithm for Periodic Conformal Flattening of Genus-one and Multiply Connected Genus-zero Surfaces
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
In this paper, we propose a novel parameterization method for genus-one and multiply connected genus-zero surfaces, called periodic conformal flattening. The conformal energy minim…