10 citations · 21 across the 16 of their papers we have counts for
16 papers
The Scott-Vogelius element is inf-sup stable on Freudenthal meshes for
Siqi Ding, Pingbing Ming, Haijun Yu +1
The Scott-Vogelius element is a classical divergence-free mixed finite element for the Stokes problem that has attracted decades of research attention, yet its theoretical framewor…
Penalty-Free Natural Deep Ritz Method Based on de Rham Complex for High-Dimensional Dirichlet Boundary Value Problems
Jiarong Chen, Xia Ji, Haijun Yu +1
Deep neural networks show great promise for high-dimensional PDEs, yet enforcing essential boundary conditions remains challenging, especially as penalty parameters require problem…
Predictive Moving Sample Method for Physics-Informed Neural Solvers of Time-Dependent PDEs
Beining Xu, Bocheng Zhang, Haijun Yu +2
Time-dependent partial differential equations (PDEs) often develop sharp fronts, localized peaks, and other moving structures that occupy only a small portion of the space--time do…
Fast Jacobi Spectral Methods and Closure Approximations for the Homogeneous FENE Model of Complex Fluids
Runkai Feng, Jie Shen, Haijun Yu
The Finitely Extensible Nonlinear Elastic (FENE) dumbbell model is a widely used mathematical model for complex fluids. Direct simulation of the FENE Fokker--Planck equation is com…
Scaling Optimized Spectral Approximations on Unbounded Domains: The Generalized Hermite and Laguerre Methods
Hao Hu, Haijun Yu
We propose a novel error analysis framework for scaled generalized Laguerre and generalized Hermite approximations.This framework can be regarded as an analogue of the Nyquist-Shan…
Moving sample method for solving time-dependent partial differential equations
Beining Xu, Haijun Yu, Jiayu Zhai +2
Solving time-dependent partial differential equations (PDEs) that exhibit sharp gradients or local singularities is computationally demanding, as traditional physics-informed neura…
A Morphology-Adaptive Random Feature Method for Inverse Source Problem of the Helmholtz Equation
Xinwei Hu, Jingrun Chen, Haijun Yu
The inverse source problem for the Helmholtz equation poses significant challenges, particularly when sources exhibit complex or discontinuous geometries. Traditional numerical met…
Efficient Image-to-Image Schrödinger Bridge for CT Field of View Extension
Zhenhao Li, Song Ni, Long Yang +6
Computed tomography (CT) is a cornerstone imaging modality for non-invasive, high-resolution visualization of internal anatomical structures. However, when the scanned object excee…
An Improved Adaptive Orthogonal Basis Deflation Method for Multiple Solutions with Applications to Nonlinear Elliptic Equations in Varying Domains
Yangyi Ye, Lin Li, Pengcheng Xie +1
Multiple solutions are common in various non-convex problems arising from industrial and scientific computing. Nonetheless, understanding the nontrivial solutions' qualitative prop…
An Efficient Stochastic Subgradient Method for the Global Placement Problem in Very Large-Scale Integration Circuits
Yi-Shuang Yue, Yu-Hong Dai, Haijun Yu
The placement problem in Very Large-Scale Integration (VLSI) circuits is a critical step in chip design. Its primary goal is to optimize the wirelength of circuit components within…
Scaling Optimized Hermite Approximation Methods
Hao Hu, Haijun Yu
Hermite polynomials and functions have extensive applications in scientific and engineering problems. Although it is recognized that employing the scaled Hermite functions rather t…
A Natural Deep Ritz Method for Essential Boundary Value Problems
Haijun Yu, Shuo Zhang
Deep neural network approaches show promise in solving partial differential equations. However, unlike traditional numerical methods, they face challenges in enforcing essential bo…
Energetic Spectral-Element Time Marching Methods for Phase-Field Nonlinear Gradient Systems
Shiqin Liu, Haijun Yu
We propose two efficient energetic spectral-element methods in time for marching nonlinear gradient systems with the phase-field Allen--Cahn equation as an example: one fully impli…
Probing Dark Matter Particles from Evaporating Primordial Black Holes via Electron Scattering in the CDEX-10 Experiment
Z. H. Zhang, L. T. Yang, Q. Yue +81
Dark matter (DM) is a major constituent of the Universe. However, no definite evidence of DM particles (denoted as ``") has been found in DM direct detection (DD) experiments to…
Lyapunov exponents and Lagrangian chaos suppression in compressible homogeneous isotropic turbulence
Haijun Yu, Itzhak Fouxon, Jianchun Wang +4
We study Lyapunov exponents of tracers in compressible homogeneous isotropic turbulence at different turbulent Mach number and Taylor-scale Reynolds number . We demonst…
Constructing Custom Thermodynamics Using Deep Learning
Xiaoli Chen, Beatrice W. Soh, Zi-En Ooi +5
One of the most exciting applications of artificial intelligence (AI) is automated scientific discovery based on previously amassed data, coupled with restrictions provided by know…