Gradient-based estimation of Manning's friction coefficient from noisy data
Type
ArticleAuthors
Calo, Victor M.
Collier, Nathan
Gehre, Matthias
Jin, Bangti
Radwan, Hany G.
Santillana, Mauricio
KAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Earth Science and Engineering Program
Environmental Science and Engineering Program
Numerical Porous Media SRI Center (NumPor)
Physical Science and Engineering (PSE) Division
KAUST Grant Number
KUS-C1-016-04Date
2013-01Preprint Posting Date
2012-04-08Permanent link to this record
http://hdl.handle.net/10754/562559
Metadata
Show full item recordAbstract
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.Citation
Calo, V. M., Collier, N., Gehre, M., Jin, B., Radwan, H., & Santillana, M. (2013). Gradient-based estimation of Manning’s friction coefficient from noisy data. Journal of Computational and Applied Mathematics, 238, 1–13. doi:10.1016/j.cam.2012.08.004Sponsors
This work was initiated while V.M.C. was a Visiting Professor at the Institute for Applied Mathematics and Computational Science (IAMCS), Texas A&M University, College Station. The work of M.G. was carried out during his visit at IAMCS. They would like to thank the institute for the kind hospitality and support. The work of B.J. is supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).Publisher
Elsevier BVarXiv
1204.1709Additional Links
http://arxiv.org/abs/arXiv:1204.1709v1ae974a485f413a2113503eed53cd6c53
10.1016/j.cam.2012.08.004