On an error estimate for an approximate solution for an inverse problem in the class of piecewise smooth functions

被引：0

作者：

Tanana, V. P. ^{[1
,2
]}

Bredikhina, A. B. ^{[1
]}

Kamaltdinova, T. S. ^{[1
]}

机构：

[1] South Ural State Univ, Chelyabinsk, Russia

[2] South Ural State Univ, Physicomath Sci, Chelyabinsk, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2012年 / 18卷 / 01期

关键词：

operator equations; regularization; method; error estimate; ill-posed problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An inverse Cauchy problem is solved by the nonlinear projection regularization method under the assumption that the required solution is smooth.

引用

页码：281 / 288

页数：8

共 50 条

[1] Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate
Leonov, Alexander S.
Wang, Yanfei
Yagola, Anatoly G.
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2020, 28 (04) : 448 - 458
[2] Error estimation for an approximate solution of an inverse problem in thermal diagnostics
Tanana V.P.
Bulatova M.G.
Numerical Analysis and Applications, 2010, 3 (01) : 71 - 81
[3] Approximate solution of the Dirichlet problem for elliptic PDE and its error estimate
Zemskov, S
COMPUTER ALGEBRA IN SCIENFIFIC COMPUTING, PROCEEDINGS, 2005, 3718 : 489 - 500
[4] On the guaranteed accuracy estimate of an approximate solution of one inverse problem of thermal diagnostics
Tanana, V. P.
Sidikova, A. I.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2010, 16 (02): : 238 - 252
[5] Solution of Optimal Control Problem in Class of Piecewise-Constant Functions
Aida-Zadeh, K. R.
Ragimov, A. B.
AUTOMATIC CONTROL AND COMPUTER SCIENCES, 2007, 41 (01) : 18 - 24
[6] APPROXIMATE SOLUTION OF INVERSE PROBLEMS WITH PIECEWISE CONTINUOUS SOLUTIONS
PERRY, WL
RADIO SCIENCE, 1977, 12 (05) : 637 - 642
[7] Solution of the inverse elastography problem for parametric classes of inclusions with a posteriori error estimate
Leonov, Alexander S.
Sharov, Alexander N.
Yagola, Anatoly G.
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2018, 26 (04): : 493 - 499
[8] A priori error estimate of the finite element solution to a Poisson inverse source problem
Huhtala, A.
Bossuyt, S.
Hannukainen, A.
INVERSE PROBLEMS, 2014, 30 (08)
[9] Application of Piecewise Quadratic Value Functions to the Approximate Solution of a Nonlinear Target Control Problem
Chistyakov, I. A.
Tochilin, P. A.
DIFFERENTIAL EQUATIONS, 2020, 56 (11) : 1513 - 1523
[10] Application of Piecewise Quadratic Value Functions to the Approximate Solution of a Nonlinear Target Control Problem
I. A. Chistyakov
P. A. Tochilin
Differential Equations, 2020, 56 : 1513 - 1523

← 1 2 3 4 5 →