Two-scale cut-and-projection convergence for quasiperiodic monotone operators

• Published in: arXiv.org
• Main Authors: Wellander, Niklas, Guenneau, Sebastien, Cherkaev, Elena
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 08.06.2022
• Subjects: Convergence; Differential equations; Hyperplanes; Mathematics - Analysis of PDEs; Mathematics - Mathematical Physics; Operators (mathematics); Periodic structures; Physics - Materials Science; Physics - Mathematical Physics; Projection

Averaging certain class of quasiperiodic monotone operators can be simplified to the periodic homogenization setting by mapping the original quasiperiodic structure onto a periodic structure in a higher dimensional space using cut-and projection method. We characterize cut-and-projection convergence...