NUMERICAL RECOVERY OF CERTAIN DISCONTINUOUS ELECTRICAL CONDUCTIVITIES

被引:18
作者
BRYAN, K
机构
[1] Inst. for Comput. Applications in Sci. and Eng., NASA Langley Res. Center, Hampton, VA
关键词
D O I
10.1088/0266-5611/7/6/006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The inverse problem of recovering an electrical conductivity of the form gamma(x) = 1 + (k - 1) chi-D on a region-OMEGA subset-of R2 from boundary data is considered, where D subset-of subset-of OMEGA and k is some positive constant. A linearization of the forward problem is formed and used in a least squares output method for approximately solving the inverse problem. Convergence results are proved and some numerical results presented.
引用
收藏
页码:827 / 840
页数:14
相关论文
共 9 条
[1]  
ATKINSON KE, 1976, SURVEY NUMERICAL MET
[2]  
Barber DC., 1986, INFORMATION PROCESSI, P106
[3]  
BELLOUT H, 1988, ARCH RATION MECH AN, V101, P143, DOI 10.1007/BF00251458
[4]  
Folland G.B., 1976, INTRO PARTIAL DIFFER
[5]   DETECTION OF MINES BY ELECTRIC MEASUREMENTS [J].
FRIEDMAN, A .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1987, 47 (01) :201-212
[6]  
Gilbarg D., 1983, ELLIPTIC PARTIAL DIF
[8]  
KOHN R, 1988, COMMUN PURE APPL MAT, V38, P643
[9]  
Ladyzhenskaya O A, 1968, LINEAR QUASILINEAR E