# Solvability and numerical algorithms for a class of variational data assimilation problems

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 8, page 873-883
- ISSN: 1292-8119

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topMarchuk, Guri, and Shutyaev, Victor. "Solvability and numerical algorithms for a class of variational data assimilation problems." ESAIM: Control, Optimisation and Calculus of Variations 8 (2010): 873-883. <http://eudml.org/doc/90675>.

@article{Marchuk2010,

abstract = {
A class of variational
data assimilation problems on reconstructing
the initial-value functions is considered for the models governed by
quasilinear evolution equations. The optimality system is reduced to the
equation for the control function.
The properties of the control equation are studied and the
solvability theorems are proved for linear and quasilinear data assimilation
problems. The iterative algorithms for solving the problem are formulated and
justified.
},

author = {Marchuk, Guri, Shutyaev, Victor},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Variational data assimilation; quasilinear evolution problem; optimality
system; control equation; solvability; iterative algorithms.; variational data assimilation; optimality system; iterative algorithms; method of successive approximation},

language = {eng},

month = {3},

pages = {873-883},

publisher = {EDP Sciences},

title = {Solvability and numerical algorithms for a class of variational data assimilation problems},

url = {http://eudml.org/doc/90675},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Marchuk, Guri

AU - Shutyaev, Victor

TI - Solvability and numerical algorithms for a class of variational data assimilation problems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 8

SP - 873

EP - 883

AB -
A class of variational
data assimilation problems on reconstructing
the initial-value functions is considered for the models governed by
quasilinear evolution equations. The optimality system is reduced to the
equation for the control function.
The properties of the control equation are studied and the
solvability theorems are proved for linear and quasilinear data assimilation
problems. The iterative algorithms for solving the problem are formulated and
justified.

LA - eng

KW - Variational data assimilation; quasilinear evolution problem; optimality
system; control equation; solvability; iterative algorithms.; variational data assimilation; optimality system; iterative algorithms; method of successive approximation

UR - http://eudml.org/doc/90675

ER -

## References

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