Numerical Methods for Constrained Elliptic Optimal Control Problems with Rapidly Oscillating Coefficients

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.

Author Details

Yanping Chen

Yuelong Tang

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