Showing math.NAShow all
3 papers · 1 filter
math.NA2026
A geometric reformulation and structure-preserving rotational discrete gradient scheme for the full Ericksen-Leslie model
Hanbin Wang, Jie Xu, Zhiguo Yang
In this paper, we present a structure-preserving rotational discrete gradient method of the full Ericksen-Leslie model for nematic liquid crystal flows with general anisotropic Ose…
math.NA2024
A divergence-free projection method for quasiperiodic photonic crystals in three dimensions
Zixuan Gao, Zhenli Xu, Zhiguo Yang
This paper presents a point-wise divergence-free projection method for numerical approximations of photonic quasicrystals problems. The original three-dimensional quasiperiodic Max…
math.NA2024
Reduced projection method for photonic moiré lattices
Zixuan Gao, Zhenli Xu, Zhiguo Yang
This paper presents a reduced projection method for the solution of quasiperiodic Schrödinger eigenvalue problems for photonic moiré lattices. Using the properties of the Schröd…