4 papers
HoSGFEM: High-order stable generalized finite element method for elliptic interface problem
Bingying Zhao, Yin Song, Quanling Deng +1
The Generalized Finite Element Method (GFEM) is an effective unfitted numerical method for handling interface problems. By augmenting the standard FEM space with an appropriate enr…
An Eulerian Data Assimilation Method for Two-Layer Quasi-Geostrophic Model in Physical Domain
Hyeonggeun Yun, Quanling Deng
Data assimilation (DA) integrates observational data with numerical models to improve the prediction of complex physical systems. However, traditional DA methods often struggle wit…
Particle, kinetic and hydrodynamic models for sea ice floes. Part I: Non-rotating floes
Quanling Deng, Seung-Yeal Ha
We introduce a comprehensive modeling framework for the dynamics of sea ice floes using particle, kinetic, and hydrodynamic approaches. Building upon the foundational work of Ha an…
Exact Eigenvalues and Eigenvectors for Some n-Dimensional Matrices
Quanling Deng
Building on previous work that provided analytical solutions to generalised matrix eigenvalue problems arising from numerical discretisations, this paper develops exact eigenvalues…