Homogenization Problem in a Domain with Double Oscillating Boundary

Jie Zhao and Juan Wang

Mathematical Problems in Engineering, 2018, vol. 2018, 1-14

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 -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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3746562

DOI: 10.1155/2018/3746562

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