7 citations · 7 across the 5 of their papers we have counts for
5 papers · 1 filter
High-Order Exponential Integrators with Improved Uniform Accuracy for Charged-Particle in a Perpendicular Strong Magnetic Field
Zhihao Qi, Weibing Deng
This paper considers a class of charged-particle dynamics problems in which the particle is subjected to a magnetic force, with a magnetic flux density inversely proportional to a…
Error Analysis on a Novel Class of Exponential Integrators with Local Linear Extension Techniques for Highly Oscillatory ODEs
Zhihao Qi, Weibing Deng, Fuhai Zhu
This paper investigates a class of non-autonomous highly oscillatory ordinary differential equations characterized by a linear component inversely proportional to a small parameter…
A Stabilized Unfitted Space-time Finite Element Method for Parabolic Problems on Moving Domains
Ruizhi Wang, Weibing Deng
This paper presents a space-time finite element method (FEM) based on an unfitted mesh for solving parabolic problems on moving domains. Unlike other unfitted space-time finite ele…
A stabilized nonconforming Nitsche's extended finite element method for Stokes interface problems
Xiaoxiao He, Fei Song, Weibing Deng
In this paper, a stabilized extended finite element method is proposed for Stokes interface problems on unfitted triangulation elements which do not require the interface align wit…
Multiscale discontinuous Petrov--Galerkin method for the multiscale elliptic problems
Song Fei, Deng Weibing
In this paper we present a new multiscale discontinuous Petrov--Galerkin method (MsDPGM) for multiscale elliptic problems. This method utilizes the classical oversampling multiscal…