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 31-47

Subject Categories

Computational Mathematics

Other Mathematics

Mathematical Analysis

DOI

10.7153/dea-2022-14-03

More information

Latest update

8/9/2024 9