Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm

被引：20

作者：

Beilina, Larisa ^{[1
,2
]}

Klibanov, Michael V. ^{[3
]}

机构：

[1] Chalmers Univ Technol, Dept Math Sci, SE-42196 Gothenburg, Sweden

[2] Gothenburg Univ, SE-42196 Gothenburg, Sweden

[3] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

INVERSE PROBLEMS | 2010年 / 26卷 / 12期

关键词：

SCATTERING PROBLEM;

D O I：

10.1088/0266-5611/26/12/125009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The validity of the synthesis of a globally convergent numerical method with the adaptive FEM technique for a coefficient inverse problem is verified on time-resolved experimental data. The refractive indices, locations and shapes of dielectric abnormalities are accurately imaged.

引用

页数：30

共 34 条

[11] BEILINA L, 2001, NUM MATH ADV APPL EN
[12] Beilina L., 2010, J MATH SCI, V167, P279, DOI DOI 10.1007/S10958-010-9921-1
[13] Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D
Beilina, Larisa
Klibanov, Michael V.
[J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2010, 18 (01): : 85 - 132
[14] A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem
Beilina, Larisa
Klibanov, Michael V.
[J]. INVERSE PROBLEMS, 2010, 26 (04)
[15] A GLOBALLY CONVERGENT NUMERICAL METHOD FOR A COEFFICIENT INVERSE PROBLEM
Beilina, Larisa
Klibanov, Michael V.
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 31 (01) : 478 - 509
[16] Boundary control in reconstruction of manifolds and metrics (the BC method)
Belishev, MI
[J]. INVERSE PROBLEMS, 1997, 13 (05) : R1 - R45
[17] BELISHEV MI, 1999, J INVERSE ILL-POSE P, V7, P221, DOI 10.1515/jiip.1999.7.3.221
[18] Burov VA, 2002, ACOUST IMAG, V26, P231
[19] ENGQUIST B, 1977, MATH COMPUT, V31, P629, DOI 10.1090/S0025-5718-1977-0436612-4
[20] Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization
Griesbaum, Anke
Kaltenbacher, Barbara
Vexler, Boris
[J]. INVERSE PROBLEMS, 2008, 24 (02)

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