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
收藏
页码：57 / 79
页数：23
相关论文
共 50 条
  • [21] A Nonfield Analytical Method for Solving Some Nonlinear Problems in Heat Transfer
    Kulish, Vladimir
    Slama, Pavel
    JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2022, 144 (11):
  • [22] FUNCTIONAL METHOD FOR SOME NONLINEAR PROBLEMS IN PLASMA PHYSICS AND THERMONUCLEAR FUSION
    OGUNLANA, J
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1970, 69 (01): : 11 - &
  • [23] A solution method for some nonlinear eigen-problems in structural dynamics
    Ramani, A
    Knight, CE
    PROCEEDINGS OF THE 15TH INTERNATIONAL MODAL ANALYSIS CONFERENCE - IMAC, VOLS I AND II, 1997, 3089 : 1952 - 1958
  • [24] Some problems of nonlinear diffusion
    Torcicollo, I
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2000, 3A (03): : 407 - 410
  • [25] Some problems on nonlinear oscillations
    Van Dao, N
    IUTAM SYMPOSIUM ON RECENT DEVELOPMENTS IN NON-LINEAR OSCILLATIONS OF MECHANICAL SYSTEMS, 2000, 77 : 141 - 151
  • [26] SOME NONLINEAR EIGENVALUE PROBLEMS
    SHAMPINE, LF
    JOURNAL OF MATHEMATICS AND MECHANICS, 1968, 17 (11): : 1065 - &
  • [27] Some problems in nonlinear magnetoelasticity
    A. Dorfmann
    R. W. Ogden
    Zeitschrift für angewandte Mathematik und Physik ZAMP, 2005, 56 : 718 - 745
  • [28] Some problems in nonlinear magnetoelasticity
    Dorfmann, A
    Ogden, RW
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2005, 56 (04): : 718 - 745
  • [29] SOME PROBLEMS OF NONLINEAR VIBRATIONS
    STARSHINSKIJ, WM
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1971, 51 (06): : 455 - +
  • [30] Some nonlinear problems in servomechanisms
    Shadman, D
    ARCHIVE OF APPLIED MECHANICS, 1996, 66 (07) : 427 - 433
12345