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OPTIMAL ERROR BOUND AND A GENERALIZED TIKHONOV REGULARIZATION METHOD FOR IDENTIFYING AN UNKNOWN SOURCE IN THE POISSON EQUATION

Department of Mathematics and Statistics, Hubei University of Science and Technology, Xianning, Hubei 437100, P. R. China

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JIAN-FENG MAO

Department of Mathematics and Statistics, Hubei University of Science and Technology, Xianning, Hubei 437100, P. R. China

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https://doi.org/10.1142/S0219691314500040Cited by:1 (Source: Crossref)

Abstract

In this note we prove a stability estimate for an inverse heat source problem. Based on the obtained stability estimate, we present a generalized Tikhonov regularization method and obtain the error estimate. Numerical experiment shows that the generalized Tikhonov regularization works well.

Keywords:

AMSC: 35R40, 65J20

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