2 papers
math.NA2026
A Locking-free and Loosely Coupled Robin-Robin Scheme for Fluid-Poroelasticity Interaction
Wenlong He, Thomas Wick, Xiaohe Yue +2
We study a fluid-poroelasticity interaction (FPSI) problem coupling the unsteady Stokes equations with the fully dynamic Biot system. A major challenge in such problems is to desig…
math.NA2025
An asymptotically compatible unfitted finite element methods for nonlocal elliptic Interfaces: local limits and sharp error estimates
Haixia Dong, Ziqing Xie, Jiwei Zhang
This paper presents the development and analysis of an asymptotically compatible (AC) unfitted finite element method for one-dimensional nonlocal elliptic interface problems. The p…