Research output: Contribution to journal › Article › peer-review
An Algorithm for Recovering the Characteristics of the Initial State of Supernova. / Kabanikhin, S. I.; Kulikov, I. M.; Shishlenin, M. A.
In: Computational Mathematics and Mathematical Physics, Vol. 60, No. 6, 01.06.2020, p. 1008-1016.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - An Algorithm for Recovering the Characteristics of the Initial State of Supernova
AU - Kabanikhin, S. I.
AU - Kulikov, I. M.
AU - Shishlenin, M. A.
PY - 2020/6/1
Y1 - 2020/6/1
N2 - An optimization method for the numerical solution of the inverse problem of recovering the initial state of a supernova is proposed. The gradient of the inverse problem objective functional is constructed. The solution of the direct and adjoint problems is based on a combination of the large particle method, Godunov’s method, and piecewise parabolic method on a local stencil. Results of the verification of the proposed numerical method and the results of numerical solution of the Evrard and Sedov collapse problems are presented.
AB - An optimization method for the numerical solution of the inverse problem of recovering the initial state of a supernova is proposed. The gradient of the inverse problem objective functional is constructed. The solution of the direct and adjoint problems is based on a combination of the large particle method, Godunov’s method, and piecewise parabolic method on a local stencil. Results of the verification of the proposed numerical method and the results of numerical solution of the Evrard and Sedov collapse problems are presented.
KW - computational astrophysics
KW - Godunov’s scheme
KW - retrospective inverse problem
KW - supernova
UR - http://www.scopus.com/inward/record.url?scp=85088999047&partnerID=8YFLogxK
U2 - 10.1134/S0965542520060135
DO - 10.1134/S0965542520060135
M3 - Article
AN - SCOPUS:85088999047
VL - 60
SP - 1008
EP - 1016
JO - Computational Mathematics and Mathematical Physics
JF - Computational Mathematics and Mathematical Physics
SN - 0965-5425
IS - 6
ER -
ID: 24895461