3 papers
cond-mat.mtrl-sci2025
Amplitude Expansion Phase Field Crystal (APFC) Modeling based Efficient Dislocation Simulations using Fourier Pseudospectral Method
Xinyi Wei, Yangshuai Wang, Kai Jiang +1
Crystalline defects critically influence material properties, necessitating accurate simulation methods. Existing approaches, from atomic-scale configurations to continuum elastici…
math.NA2025
Projection method for quasiperiodic elliptic equations and application to quasiperiodic homogenization
Kai Jiang, Meng Li, Juan Zhang +1
In this study, we address the challenge of solving elliptic equations with quasiperiodic coefficients. To achieve accurate and efficient computation, we introduce the projection me…
math.NA2024
Convergence analysis of PM-BDF2 method for quasiperiodic parabolic equations
Kai Jiang, Meng Li, Juan Zhang +1
Numerically solving parabolic equations with quasiperiodic coefficients is a significant challenge due to the potential formation of space-filling quasiperiodic structures that lac…