7 papers · 1 filter
High Performance Computing of SDRE models with Discrete Kalman Filtering for Robust -Controls
Yunfeng Cai, Tiexiang Li, Wen-Wei Lin +1
State-dependent Riccati equation (SDRE) control requires repeated online solution of continuous-time algebraic Riccati equations (CAREs). A projected-channel formulation…
Null-Space-Free 6D Spectral Embedding with Local Rayleigh Quotient Recovery for 3D Quasiperiodic Maxwell's Eigenproblems
Teng-Chao Sun, Tiexiang Li, Wen-Wei Lin +1
We develop a numerical framework for three-dimensional quasiperiodic Maxwell eigenvalue problems obtained through a six-dimensional periodic embedding. A projected Bloch--Fourier d…
A Novel Bijective Angle and Volume-preservation Balanced Parameterization for -dimensional Manifolds
Tiexiang Li, Wen-Wei Lin, Zhong-Heng Tan +3
We propose a unified framework for bijective parameterizations of -dimensional manifolds that jointly control angular and volumetric distortion through a weighted combination of…
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 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…
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…