4 citations · 4 across the 10 of their papers we have counts for
10 papers
OptiXDE: A fast optical-inspired solver for differential equations
Yang Yang, Mingjiao Yan, Zongliang Zhang
OptiXDE is a matrix-free spectral operator framework for differential equations on uniform grids and embedded domains. Inspired by angular-spectrum propagation in Fourier optics, i…
Steady-State and Transient Heat Conduction Analysis Using a Polygonal Cell-Based Smoothed Finite Element Method
Miao Zhang, Yang Yang, Chao Su +2
This paper presents a polygonal cell-based smoothed finite element method (CS-FEM) for two-dimensional steady-state and transient heat-conduction analysis. In the proposed formulat…
Nonlinear Geotechnical Analysis Using a Polygonal Cell-Based Smoothed Finite Element Framework
Mingjiao Yan, Yang Yang, Zongliang Zhang +6
Nonlinear geotechnical analysis often involves complex geometries, staged construction, local failure, and mesh-dependent stress and plastic strain responses. This study develops a…
Two-dimensional seepage analysis using a polygonal cell-based smoothed finite element method
Yang Yang, Mingjiao Yan, Zongliang Zhang +3
This study develops a polygonal cell-based smoothed finite element method (CSFEM) for two-dimensional seepage analyses in porous media, covering steady-state, transient, and free-s…
Elasto-plastic cell-based smoothed finite element method solving geotechnical problems
Yang Yang, Mingjiao Yan, Zongliang Zhang +4
This work develops an elasto-plastic cell-based smoothed finite element method (CSFEM) for geotechnical analysis. The formulation incorporates a smoothed strain field into the stan…
Geometric Field Theory for Elastohydrodynamics of Cosserat Rods
Mingjia Yan, Mohamed Warda, Balázs Németh +2
Slender structures are ubiquitous in biological and physical systems, from bacterial flagella to soft robotic arms. The Cosserat rod provides a mathematical framework for slender b…
Three dimensional seepage analysis using a polyhedral scaled boundary finite element method
Mingjiao Yan, Yang Yang, Zongliang Zhang +3
This work presents a polyhedral scaled boundary finite element method (PSBFEM) for three dimensional seepage analysis. We first derive the scaled boundary formulation for 3D seepag…
Steady-state and transient thermal stress analysis using a polygonal finite element method
Yang Yang, Mingjiao Yan, Zongliang Zhang +3
This work develops a polygonal finite element method (PFEM) for the analysis of steady-state and transient thermal stresses in two dimensional continua. The method employs Wachspre…
A polyhedral scaled boundary finite element method solving three-dimensional heat conduction problems
Mingjiao Yan, Yang Yang, Chao Su +4
In this study, we derived a three-dimensional scaled boundary finite element formulation for heat conduction problems. By incorporating Wachspress shape functions, a polyhedral sca…
A novel solution for seepage problems using physics-informed neural networks
Tianfu Luo, Yelin Feng, Qingfu Huang +5
A Physics-Informed Neural Network (PINN) provides a distinct advantage by synergizing neural networks' capabilities with the problem's governing physical laws. In this study, we in…