3 papers
math.NA2026
High-order finite element method for perfect conductivity and linear elasticity with nearly touching inclusions
Buyang Li, Haigang Li, Yonglin Li +1
In perfect conductivity and linear elasticity problems, the electric field and stress always become highly concentrated within narrow regions between adjacent perfect (rigid) inclu…
math.NA2025
A discrete Perfectly Matched Layer for peridynamic scalar waves in two-dimensional viscous media
Yu Du, Yonglin Li, Jiwei Zhang
In this paper, we propose a discrete perfectly matched layer (PML) for the peridynamic scalar wave-type problems in viscous media. Constructing PMLs for nonlocal models is often ch…
math.NA2023
Higher-order FEM and CIP-FEM for Helmholtz equation with high wave number and perfectly matched layer truncation
Yonglin Li, Haijun Wu
The high-frequency Helmholtz equation on the entire space is truncated into a bounded domain using the perfectly matched layer (PML) technique and subsequently, discretized by the…