HOMOGENIZATION OF A NON-PERIODIC OSCILLATING BOUNDARY VIA PERIODIC UNFOLDING
Journal article, 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
Author
S. Aiyappan
Fraunhofer Society
Klas Pettersson
Chalmers, Microtechnology and Nanoscience (MC2), Quantum Technology
A. Sufian
Indian Institute of Science
DIFFERENTIAL EQUATIONS & APPLICATIONS
1847-120X (ISSN) 1848-9605 (eISSN)
Vol. 14 1 31-47Subject Categories (SSIF 2011)
Computational Mathematics
Other Mathematics
Mathematical Analysis
DOI
10.7153/dea-2022-14-03