@Article{IJNAMB-2-167,
author = {Evgenya D. Karepova, Vladimir V. Shaidurov and Eka},
title = {The Numerical Solution of Data Assimilation Problem for Shallow Water Equations},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2011},
volume = {2},
number = {2},
pages = {167--182},
abstract = {The problem on propagation of long waves in a domain of arbitrary form with the sufficiently smooth boundary on a sphere is considered. The boundary consists of &#147solid&#148 parts
passing along the coastline and &#147liquid&#148 parts passing through the water area. We assume, free
surface level observation data on &#147liquid&#148 boundary is known. In general case the boundary
condition on &#147liquid&#148 part of boundary contains unknown boundary function, which must be
found together with component of velocity vector and free surface level. We put an assimilation
observation data problem by Prof. V.I. Agoshkov methodology. To solve our ill-posed inverse
problem an approach, based on optimal control methods and adjoint equations theory, is used.
Numerical solution of direct and adjoint problems is based on finite elements method. Parallel
software using MPI is discussed.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/306.html}
}