THE BOUNDARY-ELEMENT METHOD FOR AN IMPROPERLY POSED PROBLEM

被引：14

作者：

INGHAM, DB ^{[1
]}

YUAN, Y ^{[1
]}

HAN, H ^{[1
]}

机构：

[1] QINGHUA UNIV,DEPT APPL MATH,BEIJING 100084,PEOPLES R CHINA

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 1991年 / 47卷 / 01期

关键词：

D O I：

10.1093/imamat/47.1.61

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the numerical solution of an inverse Laplace problem which is improperly posed. Three different mathematical models, using direct, least-squares, and minimal-energy methods are presented for four test problems. The boundary-element method is used, and it is found that the minimal-energy method always gives a good stable approximation to the solution, whereas the direct and least-squares methods do not.

引用

页码：61 / 79

页数：19

共 10 条

[1]

[Anonymous], 1985, INVERSE HEAT CONDUCT

[2] LOGARITHMIC CONVEXITY FOR DISCRETE HARMONIC-FUNCTIONS AND THE APPROXIMATION OF THE CAUCHY-PROBLEM FOR POISSON EQUATION [J].

FALK, RS ;

MONK, PB .

MATHEMATICS OF COMPUTATION, 1986, 47 (175) :135-149

[3]

Gilbarg D., 1977, ELLIPTIC PARTIAL DIF, V224

[4]

HADAMARD J, 1923, LECTURES CAUCHYS PRO

[5] THE FINITE-ELEMENT METHOD IN A FAMILY OF IMPROPERLY POSED PROBLEMS [J].

HAN, H .

MATHEMATICS OF COMPUTATION, 1982, 38 (157) :55-65

[6]

Lavrentev M. M., 1956, IZV AKAD NAUK SSSR M, V20, P819

[7]

MANZOOR M, 1984, LECTURE NOTES ENGN, V5

[8]

Payne L. E., 1970, SIAM J MATH ANAL, V1, P82

[9]

Payne L. E., 1975, IMPROPERLY POSED PRO

[10]

Payne L. E., 1960, ARCH RATION MECH AN, V5, P35

← 1 →