Finite element approximation for a class of parame

Authors: Yanzhen Chang Danping Yang

Publish Date: 2014/04/05

Volume: 27, Issue: 5, Pages: 866-882

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Abstract

This paper investigates the finite element approximation of a class of parameter estimation problems which is the form of performance as the optimal control problems governed by bilinear parabolic equations where the state and costate are discretized by piecewise linear functions and control is approximated by piecewise constant functions The authors derive some a priori error estimates for both the control and state approximations Finally the numerical experiments verify the theoretical resultsThis research was supported by the National Natural Science Foundation of China under Grant Nos 11101025 11071080 11171113 the Fundamental Research Funds for the Central Universities and the Youth Foundation of Tianyuan Mathematics the National Natural Science Foundation of China under Grant No 11126279

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