Geodesic
Numerical recovering of leading coefficient of nonlinear parabolic equation
Matematičeskie zametki SVFU, Tome 24 (2017) no. 3, pp. 90-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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We numerically recover the leading coefficient of one parabolic equation in a multidimensional region. We consider the case when the leading coefficient depends only on solution itself and observations are taken in some interior points of the region as an additional condition. Finite element method implemented by FEniCS library is used for numerical solution of the problem. Several examples of identification of the leading coefficient of a two-dimensional parabolic equation are given.
Mots-clés : inverse coefficient problem, parabolic equation
Keywords: finite element method, FEniCS. 
@article{SVFU_2017_24_3_a7,
     author = {D. Kh. Ivanov},
     title = {Numerical recovering of leading coefficient of nonlinear parabolic equation},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {90--99},
     year = {2017},
     volume = {24},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2017_24_3_a7/}
}
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D. Kh. Ivanov. Numerical recovering of leading coefficient of nonlinear parabolic equation. Matematičeskie zametki SVFU, Tome 24 (2017) no. 3, pp. 90-99. http://geodesic.mathdoc.fr/item/SVFU_2017_24_3_a7/

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