Numerical Methods for Constrained Elliptic Optimal Control Problems with Rapidly Oscillating Coefficients
Year: 2011
Author: Yanping Chen, Yuelong Tang
East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 3 : pp. 235–247
Abstract
In this paper we use two numerical methods to solve constrained optimal control problems governed by elliptic equations with rapidly oscillating coefficients: one is finite element method and the other is multiscale finite element method. We derive the convergence analysis for those two methods. Analytical results show that finite element method can not work when the parameter $\varepsilon$ is small enough, while multiscale finite element method is useful for any parameter $\varepsilon$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.071010.250411a
East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 3 : pp. 235–247
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Optimal control problems finite element method multiscale finite element method homogenization convergence analysis.
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