3 citations · 4 across the 7 of their papers we have counts for
8 papers
A feedforward neural network for modelling of average pressure frequency response
Klas Pettersson, Andrey Karzhou, Irina Pettersson
The Helmholtz equation has been used for modelling the sound pressure field under a harmonic load. Computing harmonic sound pressure fields by means of solving Helmholtz equation c…
Localization of eigenfunctions in a thin domain with locally periodic oscillating boundary
Klas Pettersson
We study a Dirichlet spectral problem for a second-order elliptic operator with locally periodic coefficients in a thin domain. The boundary of the domain is assumed to be locally…
Homogenization of a locally periodic oscillating boundary
Srinivasan Aiyappan, Klas Pettersson
This paper deals with the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating boundary. The Neumann condition is…
Subcritical perturbation of a locally periodic elliptic operator
Klas Pettersson
We consider a singularly perturbed Dirichlet spectral problem for an elliptic operator of second order. The coefficients of the operator are assumed to be locally periodic and osci…
Spectral asymptotics for a singularly perturbed fourth order locally periodic self-adjoint elliptic operator
Alexandra Chechkina, Irina Pankratova, Klas Pettersson
We consider the homogenization of a singularly perturbed self-adjoint fourth order elliptic equation with locally periodic coefficients, stated in a bounded domain. We impose Diric…
Concentration of eigenfunctions of a locally periodic elliptic operator with large potential in a perforated cylinder
Iryna Pankratova, Klas Pettersson
We consider the homogenization of an elliptic spectral problem with a large potential stated in a thin cylinder with a locally periodic perforation. The size of the perforation gra…
A local-effective relation in planar linear elasticity
Dag Lukkassen, Annette Meidell, Klas Pettersson
We give an example of a relation between local and effective properties for elastic structures, up to geometric constants. The model considered is a periodic structure with isotrop…
An elementary proof of the Vigdergauz equations for a class of square symmetric structures
Dag Lukkassen, Annette Meidell, Klas Pettersson
For a periodically perforated structure, for which homogenization takes place in the linear theory of elasticity, the components of the effective elasticity tensor depend in genera…