ON FINDING A SURFACE CRACK FROM BOUNDARY MEASUREMENTS

被引：27

作者：

ELCRAT, AR

ISAKOV, V

NECULOIU, O

机构：

[1] Dept. of Math. and Stat., Wichita State Univ., KS

来源：

INVERSE PROBLEMS | 1995年 / 11卷 / 02期

关键词：

D O I：

10.1088/0266-5611/11/2/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the uniqueness of the determination of a surface crack from one special boundary measurement of an electrical or elastic field. Then we suggest and test a numerical algorithm for identification of a polygonal plane crack based on the Schwarz-Christoffel formula. The numerical experiments with cracks consisting of one or two intervals show the high stability and precision of this algorithm.

引用

页码：343 / 351

页数：9

共 13 条

[1] STABLE DETERMINATION OF A CRACK FROM BOUNDARY MEASUREMENTS [J].

ALESSANDRINI, G .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1993, 123 :497-516

[2]

ANDRIEUX S, 1992, CR ACAD SCI I-MATH, V315, P1323

[3]

DIAS F, 1992, EUR J MECH B-FLUID, V11, P233

[4] CLASSICAL FREE-STREAMLINE FLOW OVER A POLYGONAL OBSTACLE [J].

ELCRAT, AR ;

TREFETHEN, LN .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1986, 14 (1-2) :251-265

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

FRIEDMAN, A ;

VOGELIUS, M .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (02) :497-525

[6] CAPACITANCE AND THE CONFORMAL MODULE OF QUADRILATERALS [J].

GAIER, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 70 (01) :236-239

[7]

HENRICI P, 1986, APPLIED COMPUTATIONA, V3

[8]

Isakov V., 1990, INVERSE SOURCE PROBL

[9]

SANTOSA F, 1990, 903 U DEL CTR MATH W

[10] NUMERICAL COMPUTATION OF THE SCHWARZ-CHRISTOFFEL TRANSFORMATION [J].

TREFETHEN, LN .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1980, 1 (01) :82-102

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