An inverse problem of identifying source coefficient in solute transportation

作者：Li Gongsheng^*; Yao De; Yang Fugui

来源：Journal of Inverse and Ill-Posed Problems, 2008, 16(1): 51-63.

DOI：10.1515/JIIP.2008.004

• Inverse problem of solute transport
• identification of source coefficient
• adjoint problem
• data compatibility
• integral identity method
• conditional stability

This paper deals with an inverse problem of identifying a source coefficient in the process of solute transport in 1-D groundwater flow. With help of an adjoint problem, the solute concentration can be made to be monotone on time by some constraints to the known data and the unknown parameters, and an integral identity connecting varies of the known data with corresponding changes of the unknown is constructed. Furthermore, by analyzing the adjoint problem with the variable separation method, a suitable norm for the unknown is well-defined based on the integral identity by which a conditional stability for the inverse problem considered here is obtained.

• 出版日期2008-1
• 单位山东理工大学