3 papers
math.NT2026
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…
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
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…