2 papers
math.AP2025
On a calculation method of the thickness via partial differential equations
Atsushi Nakayasu, Takayuki Yamada
This paper presents a mathematical analysis of an elliptic partial differential equation (PDE) designed to compute the geometric thickness of a given shape. The PDE-based formulati…
math.AP2024
Mathematical analysis of a partial differential equation system on the thickness
Atsushi Nakayasu, Takayuki Yamada
This study focuses on linear partial differential equation (PDE) systems that arise in topology optimization where the thickness of a structure is constrained. The thickness derive…