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A Direct Method for Solving the Inverse Coefficient Problem for an Elliptic Equation with Piecewise Constant Coefficients. / Sorokin, S. B.
в: Journal of Applied and Industrial Mathematics, Том 15, № 2, 04.2021, стр. 331-342.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - A Direct Method for Solving the Inverse Coefficient Problem for an Elliptic Equation with Piecewise Constant Coefficients
AU - Sorokin, S. B.
N1 - Funding Information: The author was supported by the State Task to the Institute of Computational Mathematics and Mathematical Geophysics (project no. 0251–2021–0001). Publisher Copyright: © 2021, Pleiades Publishing, Ltd.
PY - 2021/4
Y1 - 2021/4
N2 - Some direct numerical method is presented for solving the inverse coefficient problem foran elliptic equation with piecewise constant coefficients. The discontinuity points of thecoefficients are assumed known. The algorithm is based on the theory of spectral problems oflinear algebra and the application of finite-difference methods for solving elliptic equations. Thevalues (measurements) of the solution at the discontinuity points of the coefficients are used asadditional information. In the case of unperturbed additional information, the coefficients arereconstructed precisely.
AB - Some direct numerical method is presented for solving the inverse coefficient problem foran elliptic equation with piecewise constant coefficients. The discontinuity points of thecoefficients are assumed known. The algorithm is based on the theory of spectral problems oflinear algebra and the application of finite-difference methods for solving elliptic equations. Thevalues (measurements) of the solution at the discontinuity points of the coefficients are used asadditional information. In the case of unperturbed additional information, the coefficients arereconstructed precisely.
KW - direct method
KW - exact difference scheme
KW - inverse coefficient problem
KW - numerical solution
KW - spectral problem
UR - http://www.scopus.com/inward/record.url?scp=85116268487&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/6c5399d0-be22-332e-ad4a-313e1c89dddd/
U2 - 10.1134/S1990478921020150
DO - 10.1134/S1990478921020150
M3 - Article
AN - SCOPUS:85116268487
VL - 15
SP - 331
EP - 342
JO - Journal of Applied and Industrial Mathematics
JF - Journal of Applied and Industrial Mathematics
SN - 1990-4789
IS - 2
ER -
ID: 34400774