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

Handle URI:
http://hdl.handle.net/10754/562559
Title:
Gradient-based estimation of Manning's friction coefficient from noisy data
Authors:
Calo, Victor M. ( 0000-0002-1805-4045 ) ; Collier, Nathaniel Oren; Gehre, Matthias; Jin, Bangti; Radwan, Hany G.; Santillana, Mauricio
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.
KAUST Department:
Applied Mathematics and Computational Science Program; Earth Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Numerical Porous Media SRI Center (NumPor)
Publisher:
Elsevier
Journal:
Journal of Computational and Applied Mathematics
Issue Date:
Jan-2013
DOI:
10.1016/j.cam.2012.08.004
ARXIV:
arXiv:1204.1709
Type:
Article
ISSN:
03770427
Sponsors:
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).
Additional Links:
http://arxiv.org/abs/arXiv:1204.1709v1
Appears in Collections:
Articles; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorCalo, Victor M.en
dc.contributor.authorCollier, Nathaniel Orenen
dc.contributor.authorGehre, Matthiasen
dc.contributor.authorJin, Bangtien
dc.contributor.authorRadwan, Hany G.en
dc.contributor.authorSantillana, Mauricioen
dc.date.accessioned2015-08-03T10:42:42Zen
dc.date.available2015-08-03T10:42:42Zen
dc.date.issued2013-01en
dc.identifier.issn03770427en
dc.identifier.doi10.1016/j.cam.2012.08.004en
dc.identifier.urihttp://hdl.handle.net/10754/562559en
dc.description.abstractWe 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.en
dc.description.sponsorshipThis 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).en
dc.publisherElsevieren
dc.relation.urlhttp://arxiv.org/abs/arXiv:1204.1709v1en
dc.subjectDiffusive shallow water equationen
dc.subjectParameter identificationen
dc.titleGradient-based estimation of Manning's friction coefficient from noisy dataen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalJournal of Computational and Applied Mathematicsen
dc.contributor.institutionCenter for Industrial Mathematics, Department of Mathematics, University of Bremen, Bremen 28359, Germanyen
dc.contributor.institutionInstitute for Applied Mathematics and Computational Science, Department of Mathematics, Texas AandM University, College Station, TX 77843-3368, United Statesen
dc.contributor.institutionIrrigation and Hydraulics Department, Faculty of Engineering, Cairo University, Egypten
dc.contributor.institutionSchool of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, United Statesen
dc.identifier.arxividarXiv:1204.1709en
kaust.authorCalo, Victor M.en
kaust.authorCollier, Nathaniel Orenen
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