5 papers
A Structure-Exploiting Implicit-Explicit Trust Region Method for Computing Second-Order Stationary Points of the Landau-Brazovskii Model
Chenglong Bao, Kai Deng, Kai Jiang +1
This work focuses on the reliable computation of second-order stationary points in the high-dimensional nonconvex energy landscape of the Landau-Brazovskii (LB) model, a fundamenta…
Prediction of A15 Tilt Grain Boundary Structures
Wenwen Zou, Zihan Su, Juan Zhang +1
In this work, we present a theoretical method to predict all coincidence site lattice (CSL) tilt grain boundaries (GBs) in A15, especially high- CSL GBs. This method includes a…
Quasiperiodic [110] Symmetric Tilt FCC Grain Boundaries
Wenwen Zou, Juan Zhang, Jie Xu +1
In this work, we investigate [110] symmetric tilt FCC grain boundaries (GBs) by a recently developed approach for quasiperiodic interfaces using the Landau-Brazovskii model. On spe…
Irrational-window-filter projection method and application to quasiperiodic Schrödinger eigenproblems
Kai Jiang, Xueyang Li, Yao Ma +3
In this paper, we propose a new algorithm, the irrational-window-filter projection method (IWFPM), for quasiperiodic systems with concentrated spectral point distribution. Based on…
High-accuracy numerical methods and convergence analysis for Schrödinger equation with incommensurate potentials
Kai Jiang, Shifeng Li, Juan Zhang
Numerical solving the Schrödinger equation with incommensurate potentials presents a great challenge since its solutions could be space-filling quasiperiodic structures without tra…