Name
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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.cam.2012.08.004 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
reasonable assumption,numerical inversion,diffusive wave approximation,gradient-based estimation,noisy data,numerical recovery,maximal parabolic regularity theory,conjugate gradient method,linearized operator,one-dimensional model,roughness coefficient,numerical result,friction coefficient | Conjugate gradient method,Mathematical optimization,Noisy data,Inversion (meteorology),Mathematical analysis,Differentiable function,Operator (computer programming),Surface finish,Shallow water equations,Mathematics,Parabola | Journal |
Volume | ISSN | Citations |
238, | 0377-0427 | 2 |
PageRank | References | Authors |
0.37 | 1 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Victor M. Calo | 1 | 191 | 38.14 |
| Nathan Collier | 2 | 3 | 1.24 |
| Matthias Gehre | 3 | 9 | 1.24 |
| Bangti Jin | 4 | 297 | 34.45 |
| Hany Radwan | 5 | 5 | 1.16 |
| Mauricio Santillana | 6 | 41 | 5.20 |