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

ESAIM: Control, Optimisation and Calculus of Variations (2002)

- 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 (2002): 873-883. <http://eudml.org/doc/245475>.

@article{Marchuk2002,

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; method of successive approximation},

language = {eng},

pages = {873-883},

publisher = {EDP-Sciences},

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

url = {http://eudml.org/doc/245475},

volume = {8},

year = {2002},

}

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

PY - 2002

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; method of successive approximation

UR - http://eudml.org/doc/245475

ER -

## References

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