THE REGULAR METHODS FOR INVERSE GRAVITY PROBLEM SOLVING

被引：0

作者：

Akimova, E. N. ^{[1
]}

Skorik, G. G. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, S Kovalevskoy 16, Ekaterinburg 620219, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2008年 / 5卷

关键词：

inverse gravity problem; integral equation; parallel regular algorithms; parallel computing system MVS-1000;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For solving three-dimensional inverse gravity problem on reconstruction interface between two media with constant density regular methods are supposed. The methods of the solution contain two stage. On the first stage from measured gravity field the anomalous effect is selected with using regularizing technique. On the second stage the iteratively regularized Newton and Fletcher-Reevs processes are applied to solve the nonlinear integral equation of gravimetry. Results of model numerical experiments on parallel computing system MVS-1000 are demonstrated.

引用

页码：509 / 517

页数：9

共 50 条

[41] Global existence and stability for an inverse coefficient problem for a semilinear parabolic equation
Mourad Choulli
Masahiro Yamamoto
[J]. Archiv der Mathematik, 2011, 97 : 587 - 597
[42] A Double Green Function Method for an Inverse Source Problem Related to a Hemisphere
Vatansever, Sevda
Alkumru, Ali
Sertlek, Hakan
Ulku, H. Arda
Cinar, Gokhan
[J]. 2017 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM - ITALY (ACES), 2017,
[43] Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems
Fenglin Yang
Chuanyi Zhang
[J]. Boundary Value Problems, 2010
[44] Global existence and stability for an inverse coefficient problem for a semilinear parabolic equation
Choulli, Mourad
Yamamoto, Masahiro
[J]. ARCHIV DER MATHEMATIK, 2011, 97 (06) : 587 - 597
[45] AN ANALYTICAL METHOD FOR THE INVERSE CAUCHY PROBLEM OF LAPLACE EQUATION IN A RECTANGULAR PLATE
Liu, C. -S.
[J]. JOURNAL OF MECHANICS, 2011, 27 (04) : 575 - 584
[46] INVERSE COEFFICIENT PROBLEM FOR THE SEMI-LINEAR FRACTIONAL TELEGRAPH EQUATION
Lopushanska, Halyna
Rapita, Vitalia
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[47] ON INVERSE PROBLEM FOR SINGULAR STURM-LIOUVILLE OPERATOR WITH DISCONTINUITY CONDITIONS
Amirov, R.
Topsakal, N.
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (03): : 585 - 607
[48] On some Numerical Scheme of Solving Diffraction Problem on Open and Closed Screens
Ryzhakov, Gleb V.
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
[49] On Fully Discrete Collocation Methods for Solving Weakly Singular Integral Equations
Kangro, R.
Kangro, I.
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2009, 14 (01) : 69 - 78
[50] Methods for solving an integral equation of the third kind with fixed singularities in the kernel
Gabbasov, N. S.
[J]. DIFFERENTIAL EQUATIONS, 2009, 45 (09) : 1370 - 1378

← 1 2 3 4 5 →