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.
periodic unfolding
asymptotic analysis
Homogenization
oscillating boundary
Author
S. Aiyappan
Fraunhofer Institute for Industrial Mathematics
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
Computational Mathematics
Other Mathematics
Mathematical Analysis
DOI
10.7153/dea-2022-14-03