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Parameter Estimation Solving a Weak Constraint Variational Formulation for an Ekman Model

Bergen Open Research Archive

Show simple item record Eknes, Mette eng Evensen, Geir eng 2008-11-18T11:43:21Z 2008-11-18T11:43:21Z 1997-06-15 eng
dc.identifier.citation en
dc.identifier.issn 0148-0227 eng
dc.description.abstract A weak constraint variational formulation is used for inverse calculations and parameter estimation in a one-dimensional Ekman model. When parameters in the model are allowed to contain errors, the inverse problem becomes nonlinear even if the model itself is linear. It is shown that a convergent iteration can be defined for the nonlinear system of Euler-Lagrange equations and that improved estimates of the poorly known parameters can be calculated by solving the inverse problem for each of the linear iterates using the representer method. The formulation of the variational problem and the solution methods are illustrated using a simple example. The use of a simple dynamical model makes it possible to give an instructive presentation of the representer method. The method is finally used in an example using real current meter data. It is shown that the weak constraint formulation results in smooth solutions in good agreement with the data all through the water column and that it is superior to the traditional strong constraint inverse estimate. en
dc.language.iso eng eng
dc.publisher American Geophysical Union eng
dc.relation.ispartofseries Journal of Geophysical Research: Oceans en
dc.relation.ispartofseries 102(C6), p. 12,479-12,491 en
dc.subject Oceanography eng
dc.subject Data assimilation eng
dc.title Parameter Estimation Solving a Weak Constraint Variational Formulation for an Ekman Model eng
dc.type Journal article eng
dc.subject.nsi VDP::Matematikk og Naturvitenskap: 400 nob
bibo.doi eng

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