Yulei Liao

Harbin Engineering University — China

Engineering · Physical Sciences

3h-index125citations13works0.32yr avg
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Research Topics

Advanced Numerical Methods in Computational Mathematics(4), Advanced Mathematical Modeling in Engineering(4), Elasticity and Material Modeling(3), Nonlocal and gradient elasticity in micro/nano structures(3), Model Reduction and Neural Networks(2)

Publications13 total

S-Flocking: Trajectory Planning for Unmanned Surface Vehicle Formation Penetration in Constrained Harbor Environments
IEEE Internet of Things Journal·2026
A concurrent global-local numerical method for multiscale parabolic equations
arXiv (Cornell University)·2025Open Access
Spectral Barron Space for Deep Neural Network Approximation
SIAM Journal on Mathematics of Data Science·2025· 2 citedOpen Access
Sharp uniform approximation for spectral Barron functions by deep neural networks
arXiv (Cornell University)·2025Open Access
Heterogeneous Multiscale Methods for Fourth-Order Singular Perturbations
Multiscale Modeling and Simulation·2025Open Access
A broken Hardy inequality on finite element space and application to strain gradient elasticity
arXiv (Cornell University)·2025Open Access
Spectral Barron space for deep neural network approximation
arXiv (Cornell University)·2023Open Access
A pre-training deep learning method for simulating the large bending deformation of bilayer plates
arXiv (Cornell University)·2023Open Access
Taylor-Hood Like Finite Elements for Nearly Incompressible Strain Gradient Elasticity Problems
Journal of Scientific Computing·2023· 5 cited
Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems
arXiv (Cornell University)·2021Open Access
A family of mixed finite elements for nearly incompressible strain gradient elastic models.
arXiv (Cornell University)·2021Open Access
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions
Communications in Computational Physics·2021· 109 citedOpen Access
A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity
Advances in Applied Mathematics and Mechanics·2019· 9 citedOpen Access

Frequent Co-authors

Pingbing Ming(10), Yun Xu(3), Pingbing Ming Pingbing Ming(2), Xiwei Shan(1), Hanlin Yang(1), Zihang Tao(1), Chenguang Yang(1), Xiang Li(1), Hao Yu(1), Yang Liu(1)