Identification of cracks with non linear impedances

被引：1

作者：

Jaoua, M

Nicaise, S

Paquet, L

机构：

[1] ENIT LAMSIN, Tunis 1002, Tunisia

[2] Univ Valenciennes & Hainaut Cambresis, ISTV, MACS, F-59313 Valenciennes 9, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2003年 / 37卷 / 02期

关键词：

inverse problems; cracks;

D O I：

10.1051/m2an:2003033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the inverse problem of determining a crack submitted to a non linear impedance law. Identifiability and local Lipschitz stability results are proved for both the crack and the impedance.

引用

页码：241 / 257

页数：17

共 22 条

[1] Determining linear cracks by boundary measurements: Lipschitz stability [J].

Alessandrini, G ;

Beretta, E ;

Vessella, S .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (02) :361-375

[2] Unique determination of multiple cracks by two measurements [J].

Alessandrini, G ;

Valenzuela, AD .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (03) :913-921

[3]

Alessandrini G, 1997, INDIANA U MATH J, V46, P1

[4]

ALESSANDRINI G, 1993, INVERSE PROBLEMS MAT, P1

[5] Identification of planar cracks by complete overdetermined data: Inversion formulae [J].

Andrieux, S ;

BenAbda, A .

INVERSE PROBLEMS, 1996, 12 (05) :553-563

[6]

Andrieux S, 1998, MATH METHOD APPL SCI, V21, P895, DOI 10.1002/(SICI)1099-1476(19980710)21:10<895::AID-MMA975>3.0.CO

[7]

2-1

[8]

[Anonymous], 1975, PROBABILITE POTENTIE

[9]

BELLOUT H, 1988, ARCH RATION MECH AN, V101, P143, DOI 10.1007/BF00251458

[10]

Ben Abda A, 1999, INVERSE PROBL, V15, P67, DOI 10.1088/0266-5611/15/1/011

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