Gradient-based estimation of Manning's friction coefficient from noisy data
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...
| Main Authors: | , , , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/51358 |
| _version_ | 1848758678338928640 |
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| author | Calo, Victor Collier, N. Gehre, M. Jin, B. Radwan, H. Santillana, M. |
| author_facet | Calo, Victor Collier, N. Gehre, M. Jin, B. Radwan, H. Santillana, M. |
| author_sort | Calo, Victor |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T09:47:48Z |
| format | Journal Article |
| id | curtin-20.500.11937-51358 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:47:48Z |
| publishDate | 2013 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-513582017-09-13T15:35:35Z Gradient-based estimation of Manning's friction coefficient from noisy data Calo, Victor Collier, N. Gehre, M. Jin, B. Radwan, H. Santillana, M. 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. 2013 Journal Article http://hdl.handle.net/20.500.11937/51358 10.1016/j.cam.2012.08.004 Elsevier unknown |
| spellingShingle | Calo, Victor Collier, N. Gehre, M. Jin, B. Radwan, H. Santillana, M. Gradient-based estimation of Manning's friction coefficient from noisy data |
| title | Gradient-based estimation of Manning's friction coefficient from noisy data |
| title_full | Gradient-based estimation of Manning's friction coefficient from noisy data |
| title_fullStr | Gradient-based estimation of Manning's friction coefficient from noisy data |
| title_full_unstemmed | Gradient-based estimation of Manning's friction coefficient from noisy data |
| title_short | Gradient-based estimation of Manning's friction coefficient from noisy data |
| title_sort | gradient-based estimation of manning's friction coefficient from noisy data |
| url | http://hdl.handle.net/20.500.11937/51358 |