2 papers
math.NA2026
Stability Analysis of Monolithic Globally Divergence-Free ALE-HDG Methods for Fluid-Structure Interaction
Shuaijun Liu, Xiaoping Xie
In this paper, we propose two monolithic fully discrete finite element methods for fluid-structure interaction (FSI) based on a novel Piola-type Arbitrary Lagrangian-Eulerian (ALE)…
math.NA2025
A modified dynamic diffusion finite element method with optimal convergence rate for convection-diffusion-reaction equations
Shaohong Du, Qianqian Hou, Xiaoping Xie
In this paper, we develop a modified nonlinear dynamic diffusion (DD) finite element method for convection-diffusion-reaction equations. This method is free of stabilization parame…