37 citations · 37 across the 7 of their papers we have counts for
10 papers
Sound absorption by perforated walls along boundaries
Patrizia Donato, Agnes Lamacz, Ben Schweizer
We analyze the Helmholtz equation in a complex domain. A sound absorbing structure at a part of the boundary is modelled by a periodic geometry with periodicity . A…
Representation of solutions to wave equations with profile functions
Agnes Lamacz, Ben Schweizer
Solutions to the wave equation with constant coefficients in can be represented explicitly in Fourier space. We investigate a reconstruction formula, which provides…
Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics
M. H. Duong, A. Lamacz, M. A. Peletier +2
In molecular dynamics and sampling of high dimensional Gibbs measures coarse-graining is an important technique to reduce the dimensionality of the problem. We will study and quant…
Effective acoustic properties of a meta-material consisting of small Helmholtz resonators
Agnes Lamacz, Ben Schweizer
We investigate the acoustic properties of meta-materials that are inspired by sound-absorbing structures. We show that it is possible to construct meta-materials with frequency-dep…
A negative index meta-material for Maxwell's equations
Agnes Lamacz, Ben Schweizer
We derive the homogenization limit for time harmonic Maxwell's equations in a periodic geometry with periodicity length . The considered meta-material has a singular sub-struc…
Outgoing wave conditions in photonic crystals and transmission properties at interfaces
Agnes Lamacz, Ben Schweizer
We analyze the propagation of waves in unbounded photonic crystals, the waves are described by a Helmholtz equation with -dependent coefficients. The scattering problem must be…
Variational approach to coarse-graining of generalized gradient flows
Manh Hong Duong, Agnes Lamacz, Mark A. Peletier +1
In this paper we present a variational technique that handles coarse-graining and passing to a limit in a unified manner. The technique is based on a duality structure, which is pr…
Moment bounds for the corrector in stochastic homogenization of a percolation model
Agnes Lamacz, Stefan Neukamm, Felix Otto
We study the corrector equation in stochastic homogenization for a simplified Bernoulli percolation model on , . The model is obtained from the classical $\{0,1\…
Dispersive homogenized models and coefficient formulas for waves in general periodic media
Tomas Dohnal, Agnes Lamacz, Ben Schweizer
We analyze a homogenization limit for the linear wave equation of second order. The spatial operator is assumed to be of divergence form with an oscillatory coefficient matrix $a^\…
Bloch-wave homogenization on large time scales and dispersive effective wave equations
Tomas Dohnal, Agnes Lamacz, Ben Schweizer
We investigate second order linear wave equations in periodic media, aiming at the derivation of effective equations in , . Standard homogenization theory…