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.
asymptotic analysis
oscillating boundary
periodic unfolding
Homogenization
Författare
S. Aiyappan
Fraunhofer-Gesellschaft
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 31-47Ämneskategorier (SSIF 2011)
Beräkningsmatematik
Annan matematik
Matematisk analys
DOI
10.7153/dea-2022-14-03