171 citations · 200 across the 10 of their papers we have counts for
3 papers · 1 filter
Two-scale cut-and-projection convergence for quasiperiodic monotone operators
Niklas Wellander, Sebastien Guenneau, Elena Cherkaev
Averaging certain class of quasiperiodic monotone operators can be simplified to the periodic homogenization setting by mapping the original quasiperiodic structure onto a periodic…
Geometric series expansion of the Neumann-Poincaré operator: application to composite materials
Elena Cherkaev, Minwoo Kim, Mikyoung Lim
The Neumann-Poincaré operator, a singular integral operator on the boundary of a domain, naturally appears when one solves a conductivity transmission problem via the boundary inte…
Homogenization of quasiperiodic structures and two-scale cut-and-projection convergence
Niklas Wellander, Sébastien Guenneau, Elena Cherkaev
Quasiperiodic arrangements of the constitutive materials in composites result in effective properties with very unusual electromagnetic and elastic properties. The paper discusses…