2 papers
math.NA2025
An Immersed Finite Element Method for Anisotropic Elliptic Interface Problems with Nonhomogeneous Jump Conditions
Haifeng Ji, Zhilin Li
A new finite element method (FEM) using meshes that do not necessarily align with the interface is developed for two- and three-dimensional anisotropic elliptic interface problems…
math.NA2023
A Neumann interface optimal control problem with elliptic PDE constraints and its discretization and numerical analysis
Zhiyue Zhang, Kazufumi Ito, Zhilin Li
We study an optimal control problem governed by elliptic PDEs with interface, which the control acts on the interface. Due to the jump of the coefficient across the interface and t…