Affiliation:
1. College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China
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 H1-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.
Funder
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics