ITERATIVE SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS IN ACOUSTICS

被引：17

作者：

KLEINMAN, RE ^{[1
]}

ROACH, GF ^{[1
]}

机构：

[1] UNIV STRATHCLYDE, DEPT MATH, GLASGOW G1 1XH, SCOTLAND

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES | 1988年 / 417卷 / 1852期

关键词：

ACOUSTIC SCATTERING - CONVERGENCE - LINEAR OPERATOR;

D O I：

10.1098/rspa.1988.0050

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

(Edited Abstract)

引用

页码：45 / 57

页数：13

共 17 条

[1] MODIFIED GREEN-FUNCTIONS AND THE 3RD BOUNDARY-VALUE PROBLEM FOR THE HELMHOLTZ-EQUATION [J].

ANGELL, TS ;

KLEINMAN, RE .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 97 (01) :81-94

[2] ITERATIVE BEHANDLUNG LINEARER FUNKTIONALGLEICHUNGEN [J].

BIALY, H .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1959, 4 (02) :166-176

[3] INTEGRAL-EQUATIONS FOR EXTERIOR ACOUSTIC PROBLEM [J].

JONES, DS .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1974, 27 (FEB) :129-142

[4] ITERATIVE METHODS FOR BEST APPROXIMATE SOLUTIONS OF LINEAR INTEGRAL-EQUATIONS OF FIRST AND SECOND KINDS [J].

KAMMERER, WJ ;

NASHED, MZ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 40 (03) :547-573

[5]

Kantorovich LV, 1982, FUNCTIONAL ANAL

[6] ON MODIFIED GREEN-FUNCTIONS IN EXTERIOR PROBLEMS FOR THE HELMHOLTZ-EQUATION [J].

KLEINMAN, RE ;

ROACH, GF .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 383 (1785) :313-332

[7] BOUNDARY INTEGRAL-EQUATIONS FOR 3-DIMENSIONAL HELMHOLTZ EQUATION [J].

KLEINMAN, RE ;

ROACH, GF .

SIAM REVIEW, 1974, 16 (02) :214-236

[8] OPERATORS OF MINIMAL NORM VIA MODIFIED GREEN-FUNCTIONS [J].

KLEINMAN, RE ;

ROACH, GF .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1983, 94 :163-178

[9]

KLEINMAN RE, 1984, P ROY SOC LOND A MAT, V394, P121, DOI 10.1098/rspa.1984.0072

[10]

Magnus W., 1954, FORMULAS THEOREMS FU

← 1 2 →