Numerical methods for quasicrystals

DOI10.1016/j.jcp.2013.08.034zbMath1349.82090arXiv1212.3326OpenAlexW1992244966MaRDI QIDQ348352

Pingwen Zhang, Kai Jiang

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3326

zbMATH Keywords

projection methodquasicrystalsprojective matrixcrystalline approximant methoddodecagonal quasicrystalLifshitz-Petrich model

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Statistical mechanics of crystals (82D25)

Related Items

Computing interface with quasiperiodicity ⋮ Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems ⋮ Tilt Grain Boundaries of Hexagonal Structures: A Spectral Viewpoint ⋮ Spectral deferred correction method for Landau-Brazovskii model with convex splitting technique ⋮ Unconditionally energy-stable linear convex splitting algorithm for the \(L^2\) quasicrystals ⋮ Convergence Analysis for Bregman Iterations in Minimizing a Class of Landau Free Energy Functionals ⋮ Numerical Methods and Analysis of Computing Quasiperiodic Systems ⋮ Generalized Allen-Cahn-type phase-field crystal model with FCC ordering structure and its conservative high-order accurate algorithm ⋮ Plane wave methods for quantum eigenvalue problems of incommensurate systems ⋮ Error estimates for second-order SAV finite element method to phase field crystal model ⋮ Efficient Numerical Methods for Computing the Stationary States of Phase Field Crystal Models ⋮ High-order energy stable schemes of incommensurate phase-field crystal model

Uses Software

• FFTW

Cites Work

• An efficient numerical method of Landau-Brazovskii model
• Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals
• The crystallographic restriction in higher dimensions
• Aperiodic Crystals
• Discovery of New Metastable Patterns in Diblock Copolymers
• Simultaneous diophantine approximation