The Kacanov method for some nonlinear problems

被引：15

作者：

Han, WM ^{[1
]}

Jensen, S ^{[1
]}

Shimansky, I ^{[1
]}

机构：

[1] UNIV MARYLAND BALTIMORE CTY,DEPT MATH,BALTIMORE,MD 21228

来源：

APPLIED NUMERICAL MATHEMATICS | 1997年 / 24卷 / 01期

关键词：

D O I：

10.1016/S0168-9274(97)00009-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Kacanov method is an iteration method for solving some nonlinear partial differential equation problems. In each iteration, a linear problem is solved. In this paper, we discuss the use of the Kacanov method in the context of two model problems. We show the convergence of the Kacanov iteration sequences, and derive a posteriori error estimates for the Kacanov iterates. Numerical examples are given showing the convergence of the method and the effectiveness of the a posteriori error estimates. (C) 1997 Elsevier Science B.V.

引用

页码：57 / 79

页数：23

共 50 条

[31] Existence and Iterative Method for Some Riemann Fractional Nonlinear Boundary Value Problems
Bachar, Imed
Maagli, Habib
Eltayeb, Hassan
MATHEMATICS, 2019, 7 (10)
[32] AN EXISTENCE RESULT VIA PENALTY METHOD FOR SOME NONLINEAR PARABOLIC UNILATERAL PROBLEMS
MOKRANE, A
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1994, 8B (02): : 405 - 417
[33] Existence and iterative method for some fourth order nonlinear boundary value problems
Wei, Yongfang
Song, Qilin
Bai, Zhanbing
APPLIED MATHEMATICS LETTERS, 2019, 87 : 101 - 107
[34] SOME NONLINEAR BOUNDARY-PROBLEMS FOR THE SYSTEMS OF NONLINEAR-WAVE EQUATIONS BY FINITE SLICE METHOD
ZHOU, YL
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1985, 3 (01): : 50 - 71
[35] SOLVABILITY OF SOME NONLINEAR ELLIPTIC PROBLEMS
KOZHEVNIKOVA, TS
MATHEMATICAL NOTES, 1985, 38 (5-6) : 974 - 978
[36] The role of oscillations in some nonlinear problems
Meyer, Y
EUROPEAN CONGRESS OF MATHEMATICS, VOL I, 2001, 201 : 75 - 99
[37] Singular perturbations of some nonlinear problems
Chipot M.
Guesmia S.
Sengouga A.
Journal of Mathematical Sciences, 2011, 176 (6) : 828 - 843
[38] Variational principle for some nonlinear problems
Yi Tian
GEM - International Journal on Geomathematics, 2022, 13
[39] On the solvability of some nonlinear Elliptic problems
E. V. Golubeva
Yu. A. Dubinskii
Computational Mathematics and Mathematical Physics, 2017, 57 : 409 - 421
[40] SOME LINEAR AND NONLINEAR PROBLEMS IN PETROLOGY
GREENWOOD, HJ
GEOCHIMICA ET COSMOCHIMICA ACTA, 1979, 43 (12) : 1873 - 1885

← 1 2 3 4 5 →