Gradient-based estimation of Manning's friction coefficient from noisy data

Calo, Victor; Collier, N.; Gehre, M.; Jin, B.; Radwan, H.; Santillana, M.

doi:10.1016/j.cam.2012.08.004

Access Status

Open access via publisher

Authors

Calo, Victor

Collier, N.

Gehre, M.

Jin, B.

Radwan, H.

Santillana, M.

Date

2013

Type

Journal Article

Metadata

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Citation

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.

Source Title

Journal of Computational and Applied Mathematics

DOI

10.1016/j.cam.2012.08.004

ISSN

0377-0427

School

Department of Applied Geology

URI

http://hdl.handle.net/20.500.11937/51358

Collection

Curtin Research Publications

Abstract

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.