3 papers
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…
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…