1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NA2026★ 1 cited
A quasi-monolithic localized high-order ALE finite element method for multi-scale fluid-structure interaction problems
Lingyue Shen, Qi Xin, Yan Chen +4
This paper presents a quasi-monolithic localized high-order arbitrary Lagrangian-Eulerian (qMLH-ALE) finite element method for multi-scale fluid-structure interaction (FSI) in micr…
math.NA2026
High-order DLM-ALE discretizations with robust operator preconditioning for fluid-rigid-body interaction
Qi Xin, Shihua Gong, Lingyue Shen +5
Motivated by the design of deterministic lateral displacement (DLD) microfluidic devices, we develop a high-order numerical framework for fluid-rigid-body interaction on fitted mov…
math.NA2024
Positivity and Maximum Principle Preserving Discontinuous Galerkin Finite Element Schemes for a Coupled Flow and Transport
Shihua Gong, Young-Ju Lee, Yukun Li +1
We introduce a new concept of the locally conservative flux and investigate its relationship with the compatible discretization pioneered by Dawson, Sun and Wheeler [11]. We then d…