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FAST SOLUTIONS OF NON-LINEAR ELLIPTIC EQUATIONS
被引:25
作者
:
HACKBUSCH, W
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematisches Institut, Universität Köln, Köln 41, D-5000
HACKBUSCH, W
机构
:
[1]
Mathematisches Institut, Universität Köln, Köln 41, D-5000
来源
:
NUMERISCHE MATHEMATIK
|
1979年
/ 32卷
/ 01期
关键词
:
Subject Classification: AMS(MOS): primary: 65N20;
65L10;
secondary:;
65H10;
CR:;
5.17;
5.15;
D O I
:
10.1007/BF01397652
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
In a recent paper we described a multi-grid algorithm for the numerical solution of Fredholm's integral equation of the second kind. This multi-grid iteration of the second kind" has important applications to elliptic boundary value problems. Here we study the treatment of nonlinear boundary value problems. The required amount of computational work is proportional to the work needed for a sequence of linear equations. No derivatives are required since these linear problems are not the linearized equations. © 1979 Springer-Verlag."
引用
收藏
页码:83 / 95
页数:13
相关论文
共 20 条
[11]
APPLICATION OF FINITE DIFFERENCE METHODS TO NONLINEAR ELLIPTIC DIFFERENTIAL EQUATIONS
MEIS, T
论文数:
0
引用数:
0
h-index:
0
MEIS, T
[J].
COMPUTING,
1971,
7
(3-4)
: 344
-
&
[12]
Meis T., 1978, NUMERISCHE BEHANDLUN
[13]
NUMERICAL TREATMENT OF NONLINEAR BOUNDARY-VALUE PROBLEMS BY FINITE-ELEMENTS
MITTELMANN, HD
论文数:
0
引用数:
0
h-index:
0
机构:
TH DARMSTADT,FACHBEREICH MATH,D-6100 DARMSTADT,FED REP GER
TH DARMSTADT,FACHBEREICH MATH,D-6100 DARMSTADT,FED REP GER
MITTELMANN, HD
[J].
COMPUTING,
1977,
18
(01)
: 67
-
77
[14]
GLOBAL A POSTERIORI ERROR ESTIMATE FOR QUASILINEAR ELLIPTIC PROBLEMS
MOCK, MS
论文数:
0
引用数:
0
h-index:
0
机构:
RUTGERS UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
RUTGERS UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
MOCK, MS
[J].
NUMERISCHE MATHEMATIK,
1975,
24
(01)
: 53
-
61
[15]
SCHRODER J, 1973, NUMER MATH, V22, P37, DOI 10.1007/BF01436620
[16]
SCHRODER J, 1978, LECTURE NOTES MATH
[17]
SCHRYER NL, 1972, NUMER MATH, V18, P336
[18]
SCHUMANN U, 1978, COMPUTERS FAST ELLIP
[19]
DISCRETE INTERIOR SCHAUDER ESTIMATES FOR ELLIPTIC DIFFERENCE OPERATORS
THOMEE, V
论文数:
0
引用数:
0
h-index:
0
THOMEE, V
[J].
SIAM JOURNAL ON NUMERICAL ANALYSIS,
1968,
5
(03)
: 626
-
&
[20]
PROJECTIVE NEWTON METHODS AND APPLICATIONS TO NON-LINEAR BOUNDARY-VALUE PROBLEMS
WITSCH, K
论文数:
0
引用数:
0
h-index:
0
WITSCH, K
[J].
NUMERISCHE MATHEMATIK,
1978,
31
(02)
: 209
-
230
←
1
2
→
共 20 条
[11]
APPLICATION OF FINITE DIFFERENCE METHODS TO NONLINEAR ELLIPTIC DIFFERENTIAL EQUATIONS
MEIS, T
论文数:
0
引用数:
0
h-index:
0
MEIS, T
[J].
COMPUTING,
1971,
7
(3-4)
: 344
-
&
[12]
Meis T., 1978, NUMERISCHE BEHANDLUN
[13]
NUMERICAL TREATMENT OF NONLINEAR BOUNDARY-VALUE PROBLEMS BY FINITE-ELEMENTS
MITTELMANN, HD
论文数:
0
引用数:
0
h-index:
0
机构:
TH DARMSTADT,FACHBEREICH MATH,D-6100 DARMSTADT,FED REP GER
TH DARMSTADT,FACHBEREICH MATH,D-6100 DARMSTADT,FED REP GER
MITTELMANN, HD
[J].
COMPUTING,
1977,
18
(01)
: 67
-
77
[14]
GLOBAL A POSTERIORI ERROR ESTIMATE FOR QUASILINEAR ELLIPTIC PROBLEMS
MOCK, MS
论文数:
0
引用数:
0
h-index:
0
机构:
RUTGERS UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
RUTGERS UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
MOCK, MS
[J].
NUMERISCHE MATHEMATIK,
1975,
24
(01)
: 53
-
61
[15]
SCHRODER J, 1973, NUMER MATH, V22, P37, DOI 10.1007/BF01436620
[16]
SCHRODER J, 1978, LECTURE NOTES MATH
[17]
SCHRYER NL, 1972, NUMER MATH, V18, P336
[18]
SCHUMANN U, 1978, COMPUTERS FAST ELLIP
[19]
DISCRETE INTERIOR SCHAUDER ESTIMATES FOR ELLIPTIC DIFFERENCE OPERATORS
THOMEE, V
论文数:
0
引用数:
0
h-index:
0
THOMEE, V
[J].
SIAM JOURNAL ON NUMERICAL ANALYSIS,
1968,
5
(03)
: 626
-
&
[20]
PROJECTIVE NEWTON METHODS AND APPLICATIONS TO NON-LINEAR BOUNDARY-VALUE PROBLEMS
WITSCH, K
论文数:
0
引用数:
0
h-index:
0
WITSCH, K
[J].
NUMERISCHE MATHEMATIK,
1978,
31
(02)
: 209
-
230
←
1
2
→