Geodesic
Recovery of a~boundary function from observation data for the surface wave propagation problem in an open basin
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 10-20

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The iterative numerical method of recovery of the unknown boundary function describing the ocean influence on the open boundary of a computational domain is proposed. The algorithm is based on the method for solving inverse problems by adjoint equations and optimal control methods. The algorithm is tested on a model problem for the basin of the Sea of Okhotsk.
Keywords: shallow water equations, finite element method, inverse problem. 
@article{SJIM_2013_16_1_a1,
     author = {E. V. Dementyeva and E. D. Karepova and V. V. Shaidurov},
     title = {Recovery of a~boundary function from observation data for the surface wave propagation problem in an open basin},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {10--20},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a1/}
}
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E. V. Dementyeva; E. D. Karepova; V. V. Shaidurov. Recovery of a~boundary function from observation data for the surface wave propagation problem in an open basin. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 10-20. http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a1/