Homogenization Problem in a Domain with Double Oscillating Boundary. (21st October 2018)

• Record Type: Journal Article
• Authors: Zhao, Jie; Wang, Juan
• Other Names: Turco Emilio Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-10-21
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/3746562
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, we study the convergence of solutions for homogenization problems about the Poisson equation in a domain with double oscillating locally periodic boundary. Such a problem arises in the processing of devices with very small features. We utilize second-order Taylor expansion of boundary data in combination with boundary correctors to obtain the convergence rate in H 1 -norm. This work explores the domain with double oscillating boundary and also shows the influence of the amplitudes and periods of the oscillations to convergence rates of solutions.