Petrov-Galerkin methods for nonlinear systems without monotonicity

Yuan Ming Wang; Ben Yu Guo

doi:10.1016/S0168-9274(99)00054-9

Petrov-Galerkin methods for nonlinear systems without monotonicity

Yuan Ming Wang
, Ben Yu Guo

数学科学学院

Shanghai Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

Petrov-Galerkin method is investigated for solving nonlinear systems without monotonicity. A new concept of ordered pair of supersolution and subsolution is proposed. The existence of numerical solutions is studied. A new monotone iteration is provided for solving the resulting problem. Two conditions are given, ensuring the geometric convergence rate. The numerical results show the advantages of this method.

源语言	英语
页（从-至）	57-78
页数	22
期刊	Applied Numerical Mathematics
卷	36
期	1
DOI	https://doi.org/10.1016/S0168-9274(99)00054-9
出版状态	已出版 - 1月 2001

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title = "Petrov-Galerkin methods for nonlinear systems without monotonicity",

abstract = "Petrov-Galerkin method is investigated for solving nonlinear systems without monotonicity. A new concept of ordered pair of supersolution and subsolution is proposed. The existence of numerical solutions is studied. A new monotone iteration is provided for solving the resulting problem. Two conditions are given, ensuring the geometric convergence rate. The numerical results show the advantages of this method.",

author = "Wang, \{Yuan Ming\} and Guo, \{Ben Yu\}",

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AU - Guo, Ben Yu

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AB - Petrov-Galerkin method is investigated for solving nonlinear systems without monotonicity. A new concept of ordered pair of supersolution and subsolution is proposed. The existence of numerical solutions is studied. A new monotone iteration is provided for solving the resulting problem. Two conditions are given, ensuring the geometric convergence rate. The numerical results show the advantages of this method.

UR - https://www.scopus.com/pages/publications/0035149226

U2 - 10.1016/S0168-9274(99)00054-9

DO - 10.1016/S0168-9274(99)00054-9

M3 - 文章

AN - SCOPUS:0035149226

SN - 0168-9274

VL - 36

SP - 57

EP - 78

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 1

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Petrov-Galerkin methods for nonlinear systems without monotonicity

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