Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems

Yuan Ming Wang

doi:10.1016/j.aml.2005.04.014

Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems

Yuan Ming Wang^*

^*此作品的通讯作者

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

This work is concerned with the convergence of a monotone method for fourth-order semilinear elliptic boundary value problems. A comparison result for the rate of convergence is given. The global error is analyzed, and some sufficient conditions are formulated for guaranteeing a geometric rate of convergence.

源语言	英语
页（从-至）	332-339
页数	8
期刊	Applied Mathematics Letters
卷	19
期	4
DOI	https://doi.org/10.1016/j.aml.2005.04.014
出版状态	已出版 - 4月 2006

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10.1016/j.aml.2005.04.014

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title = "Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems",

abstract = "This work is concerned with the convergence of a monotone method for fourth-order semilinear elliptic boundary value problems. A comparison result for the rate of convergence is given. The global error is analyzed, and some sufficient conditions are formulated for guaranteeing a geometric rate of convergence.",

keywords = "Fourth-order elliptic equations, Global error, Monotone method, Rate of convergence",

author = "Wang, \{Yuan Ming\}",

year = "2006",

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T1 - Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems

AU - Wang, Yuan Ming

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N2 - This work is concerned with the convergence of a monotone method for fourth-order semilinear elliptic boundary value problems. A comparison result for the rate of convergence is given. The global error is analyzed, and some sufficient conditions are formulated for guaranteeing a geometric rate of convergence.

AB - This work is concerned with the convergence of a monotone method for fourth-order semilinear elliptic boundary value problems. A comparison result for the rate of convergence is given. The global error is analyzed, and some sufficient conditions are formulated for guaranteeing a geometric rate of convergence.

KW - Fourth-order elliptic equations

KW - Global error

KW - Monotone method

KW - Rate of convergence

UR - https://www.scopus.com/pages/publications/31144442117

U2 - 10.1016/j.aml.2005.04.014

DO - 10.1016/j.aml.2005.04.014

M3 - 文章

AN - SCOPUS:31144442117

SN - 0893-9659

VL - 19

SP - 332

EP - 339

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 4

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Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems

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