Regularization of the continuation problem for elliptic equations

被引：26

作者：

Kabanikhin, S. I. ^{[1
]}

Gasimov, Y. S. ^{[2
]}

Nurseitov, D. B. ^{[3
]}

Shishlenin, M. A. ^{[4
]}

Sholpanbaev, B. B. ^{[5
]}

Kasenov, S. ^{[3
]}

机构：

[1] Novosibirsk State Univ, Inst Computat Math & Math Geophys, Novosibirsk 630090, Russia

[2] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[3] KazNTU KI Satpaev, Natl Open Res Lab Informat & Space Technol, Alma Ata, Kazakhstan

[4] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk 630090, Russia

[5] Abai Kazakh Natl Pedag Univ, Inst Master & PhD Programs, Alma Ata, Kazakhstan

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2013年 / 21卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Helmholtz equation; inverse problem; singular values; degree of ill-posedness; HELMHOLTZ-EQUATION; CAUCHY-PROBLEM; STABILITY;

D O I：

10.1515/jip-2013-0041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the continuation problem for the elliptic equation. The continuation problem is formulated in operator form A(q) = f . The singular values of the operator A are presented and analyzed for the continuation problem for the Helmholtz equation. Results of numerical experiments are presented.

引用

页码：871 / 884

页数：14

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