Data assimilation for the time-dependent transport problem
Banach Center Publications (2000)
- Volume: 52, Issue: 1, page 213-220
- ISSN: 0137-6934
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topShutyaev, Victor. "Data assimilation for the time-dependent transport problem." Banach Center Publications 52.1 (2000): 213-220. <http://eudml.org/doc/209059>.
@article{Shutyaev2000,
abstract = {In this paper we consider the data assimilation problem for a timedependent transport problem in a slab when the initial condition is not known. The spaces of traces are introduced, the solvability of the original initial-boundary value transport problem is studied. The properties of the control operator are investigated, the solvability of the data assimilation problem is proved. The class of iterative methods for solving the problem is considered, and the convergence conditions are studied. The results are closely connected with some issues raised in [4], [14], [15].},
author = {Shutyaev, Victor},
journal = {Banach Center Publications},
keywords = {initial-boundary value transport problem; slab; spaces of traces; control operator; iterative methods; convergence conditions},
language = {eng},
number = {1},
pages = {213-220},
title = {Data assimilation for the time-dependent transport problem},
url = {http://eudml.org/doc/209059},
volume = {52},
year = {2000},
}
TY - JOUR
AU - Shutyaev, Victor
TI - Data assimilation for the time-dependent transport problem
JO - Banach Center Publications
PY - 2000
VL - 52
IS - 1
SP - 213
EP - 220
AB - In this paper we consider the data assimilation problem for a timedependent transport problem in a slab when the initial condition is not known. The spaces of traces are introduced, the solvability of the original initial-boundary value transport problem is studied. The properties of the control operator are investigated, the solvability of the data assimilation problem is proved. The class of iterative methods for solving the problem is considered, and the convergence conditions are studied. The results are closely connected with some issues raised in [4], [14], [15].
LA - eng
KW - initial-boundary value transport problem; slab; spaces of traces; control operator; iterative methods; convergence conditions
UR - http://eudml.org/doc/209059
ER -
References
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- [14] V. P. Shutyaev, On a class of insensitive control problems, Control and Cybernetics 23 (1994), 257-266. Zbl0809.93022
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