Geodesic
Numerical analysis of the inverse identification problem for the lower coefficient of an elliptic equation
Dalʹnevostočnyj matematičeskij žurnal, Tome 6 (2005) no. 1, pp. 57-70

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In this paper the inverse problem of identification of a coefficient in the two-dimensional stationary equation of diffusion – reaction is considered. For the solution of this problem the numerical algorithm is developed which is based on the two-layer gradient algorithm. Theoretical aspects and the convergence of the algorithm are discussed. The results of numerical experiments are analyzed in details. 
@article{DVMG_2005_6_1_a4,
     author = {E. A. Kalinina},
     title = {Numerical analysis of the inverse identification problem for the lower coefficient of an elliptic equation},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {57--70},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2005_6_1_a4/}
}
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E. A. Kalinina. Numerical analysis of the inverse identification problem for the lower coefficient of an elliptic equation. Dalʹnevostočnyj matematičeskij žurnal, Tome 6 (2005) no. 1, pp. 57-70. http://geodesic.mathdoc.fr/item/DVMG_2005_6_1_a4/