activity
20232026
most citedA novel solution for seepage problems using physics-informed neural networks

4 citations · 4 across the 8 of their papers we have counts for

collaborators

8 papers

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…