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

Victor M. Calo; Nathan Collier; Matthias Gehre; Bangti Jin; Hany Radwan; Mauricio Santillana

doi:10.1016/j.cam.2012.08.004

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

Victor M. Calo
, Nathan Collier
, Matthias Gehre
, Bangti Jin
, Hany Radwan
, Mauricio Santillana

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Journal of Computational and Applied Mathematics
Volume	238
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2012.08.004
State	Published - Jan 15 2013
Externally published	Yes

Keywords

Diffusive shallow water equation
Parameter identification

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10.1016/j.cam.2012.08.004

Cite this

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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.",

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AU - Calo, Victor M.

AU - Collier, Nathan

AU - Gehre, Matthias

AU - Jin, Bangti

AU - Radwan, Hany

AU - Santillana, Mauricio

PY - 2013/1/15

Y1 - 2013/1/15

N2 - 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.

AB - 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.

KW - Diffusive shallow water equation

KW - Parameter identification

UR - https://www.scopus.com/pages/publications/84867070691

U2 - 10.1016/j.cam.2012.08.004

DO - 10.1016/j.cam.2012.08.004

M3 - Article

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SP - 1

EP - 13

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

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

Abstract

Keywords

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