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Inverse Problems

In: Modeling and Simulation: Theory and Practice

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  • V. Rao Vemuri

    (University of California)

Abstract

Three inverse problems arising in practical applications are presented. The first problem pertains to the modeling of San Fernando Valley groundwater basin and the primary issue is parameter identification in a quasi-linear parabolic partial differential equation. The second problem addresses the question of determining the optimal number and location of wells to pump, clean up and recharge a contaminated aquifer near the city of Livermore, CA. Results pertaining to these two problems have already been published. In contrast, the third problem, still in a formulation stage, addresses the question of chemical process identification; that is, the task of determining what a chemical factory is producing using incomplete and uncertain Information gleaned from photographs, type and quantity of raw materials purchased, effluents produced, the basic laws of chemistry, materials science and common engineering practices.

Suggested Citation

  • V. Rao Vemuri, 2003. "Inverse Problems," Springer Books, in: George A. Bekey & Boris Y. Kogan (ed.), Modeling and Simulation: Theory and Practice, chapter 9, pages 89-101, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-0235-7_10
    DOI: 10.1007/978-1-4615-0235-7_10
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