HOMOGENIZATION OF A NON-PERIODIC OSCILLATING BOUNDARY VIA PERIODIC UNFOLDING
Artikel i vetenskaplig tidskrift, 2022

This paper deals with the homogenization of an elliptic model problem in a two-dimensional domain with non-periodic oscillating boundary by the method of periodic unfolding. For the non-periodic oscillations, a modulated unfolding is used. The L-2 convergence of the solutions and their fluxes are shown, under natural hypotheses on the domain.

periodic unfolding

asymptotic analysis

Homogenization

oscillating boundary

Författare

S. Aiyappan

Fraunhofer Institute for Industrial Mathematics

Klas Pettersson

Chalmers, Mikroteknologi och nanovetenskap, Kvantteknologi

A. Sufian

Indian Institute of Science

DIFFERENTIAL EQUATIONS & APPLICATIONS

1847-120X (ISSN) 1848-9605 (eISSN)

Vol. 14 1 31-47

Ämneskategorier

Beräkningsmatematik

Annan matematik

Matematisk analys

DOI

10.7153/dea-2022-14-03

Mer information

Senast uppdaterat

2024-08-09