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January  1996, 2(1): 141-149. doi: 10.3934/dcds.1996.2.141

On continuous dependence under approximation for groundwater flow models with distributed and pointwise observations

B.G. Fitzpatrick 1, and  M.A. Jeffris 1,

1. 

CRSC & Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, United States, United States

Received  July 1995 Published  October 1995

We present in this paper some results on continuous dependence for parameters in a groundwater flow model. These results are crucial for theoretical and computational aspects of least squares estimation of parameters. As is typically the case in field studies, the form of the data is pointwise observation of hydraulic head and hydraulic conductivity at a discrete collection of observation well sites. We prove continuous dependence results for the solution of the groundwater flow equation, with respect to conductivity and boundary values, under certain types of numerical approximation.
Keywords: groundwater flow models, theoretical and computational aspects, continuous dependence results..
Mathematics Subject Classification: 34Bx.
Citation: B.G. Fitzpatrick, M.A. Jeffris. On continuous dependence under approximation for groundwater flow models with distributed and pointwise observations. Discrete & Continuous Dynamical Systems - A, 1996, 2 (1) : 141-149. doi: 10.3934/dcds.1996.2.141
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