TY - JOUR
T1 - Gradient-based estimation of Manning's friction coefficient from noisy data
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 - http://www.scopus.com/inward/record.url?scp=84867070691&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2012.08.004
DO - 10.1016/j.cam.2012.08.004
M3 - Article
AN - SCOPUS:84867070691
SN - 0377-0427
VL - 238
SP - 1
EP - 13
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1
ER -