Nonlocality is a generic outcome of homogenization and model reduction, and Bloch dispersion relations provide a practical route to construct nonlocal effective kernels.
Uniform Boundary Controllability and Homogenization of Wave Equations
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We obtain sharp convergence rates, using Dirichlet correctors, for solutions of wave equations in a bounded domain with rapidly oscillating periodic coefficients. The results are used to prove the exact boundary controllability that is uniform in $\epsilon$ - the scale of the microstructure, for the projection of solutions to the subspace generated by the eigenfunctions with eigenvalues less that $C\epsilon^{-1/2}$.
fields
math.NA 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues
Nonlocality is a generic outcome of homogenization and model reduction, and Bloch dispersion relations provide a practical route to construct nonlocal effective kernels.