3 papers
cs.LG2020
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…
math.AP2020
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…
math.AP2019
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…