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math.NA2025
On the rotating nonlinear Klein-Gordon equation with multiscale effects: structure-preserving methods and applications to vortex dynamics
Meng Li, Chunyan Niu, Huifei Wang +1
We study numerical methods for the rotating nonlinear Klein-Gordon (RKG) equation, a fundamental model in relativistic quantum physics, which exhibits highly oscillatory multiscale…
math.NA2020★ 1 cited
Rejuvenating AMLI-Cycle: From Chebyshev Polynomials to Momentum Acceleration
Chunyan Niu, Yunhui He, Xiaozhe Hu
In this paper, we investigate the AMLI-cycle method and make two contributions. First, we revisit the AMLI-cycle using the Chebyshev polynomials and establish a theory for its unif…
math.NA2019
A Stabilized Hybrid Mixed Finite Element Method for Poroelasticity
Chunyan Niu, Hongxing Rui, Xiaozhe Hu
In this work, we consider a hybrid mixed finite element method for Biot's model. The hybrid P1-RT0-P0 discretization of the displacement-pressure-Darcy's velocity system of Biot's…