Gradient-based estimation of Manning's friction coefficient from noisy data
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Calo, V. and Collier, N. and Gehre, M. and Jin, B. and Radwan, H. and Santillana, M. 2013. Gradient-based estimation of Manning's friction coefficient from noisy data. Journal of Computational and Applied Mathematics. 238 (1): pp. 1-13.
Journal of Computational and Applied Mathematics
Department of Applied Geology
We study the numerical recovery of Manning's roughness coefficient for the diffusive wave approximation of the shallow water equation. We describe a conjugate gradient method for the numerical inversion. Numerical results for one-dimensional models are presented to illustrate the feasibility of the approach. Also we provide a proof of the differentiability of the weak form with respect to the coefficient as well as the continuity and boundedness of the linearized operator under reasonable assumptions using the maximal parabolic regularity theory. © 2012 Elsevier B.V. All rights reserved.