STABILITY IN CRACK DETERMINATION FROM ELECTROSTATIC MEASUREMENTS AT THE BOUNDARY - A NUMERICAL INVESTIGATION

被引：12

作者：

ALESSANDRINI, G

BERETTA, E

SANTOSA, F

VESSELLA, S

机构：

[1] CNR,IST APPLICAZ SCI,ROME,ITALY

[2] UNIV DELAWARE,DEPT MATH SCI,NEWARK,DE 19716

[3] UNIV FLORENCE,DIMADEFAS,FLORENCE,ITALY

来源：

INVERSE PROBLEMS | 1995年 / 11卷 / 05期

关键词：

D O I：

10.1088/0266-5611/11/5/001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this letter is to describe the stability properties of the inverse problem of determining a straight-line crack in a specimen, from measurements of voltages and currents on its boundary. We discuss a stability theorem and its implications for practical applications. The stability behaviour is further studied in several numerical calculations.

引用

页码：L17 / L24

页数：8

共 11 条

[1]

ALESSANDRINI G, IN PRESS SIAM J CONT

[2]

ALESSANDRINI G, 1993, INVERSE PROBLEMS MAT, P1

[3]

ALESSANDRINI G, 1993, P R SOC EDINBURGH A, V127, P497

[4]

ALESSANDRINI G, IN PRESS SIAM J MATH

[5]

BENABDA A, 1993, THESIS ECOLE NATIONA

[6] A UNIQUENESS RESULT CONCERNING THE IDENTIFICATION OF A COLLECTION OF CRACKS FROM FINITELY MANY ELECTROSTATIC BOUNDARY MEASUREMENTS [J].

BRYAN, K ;

VOGELIUS, M .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (04) :950-958

[7]

BRYAN K, 1994, IN PRESS INVERSE PRO

[8] ON FINDING A SURFACE CRACK FROM BOUNDARY MEASUREMENTS [J].

ELCRAT, AR ;

ISAKOV, V ;

NECULOIU, O .

INVERSE PROBLEMS, 1995, 11 (02) :343-351

[9] DETERMINING CRACKS BY BOUNDARY MEASUREMENTS [J].

FRIEDMAN, A ;

VOGELIUS, M .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (03) :527-556

[10]

LIEPA V, 1993, J NONDESTRUCTIVE EVA, V53, P163

← 1 2 →