Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems

Yuan Ming Wang

doi:10.1016/j.cam.2006.01.011

Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems

Yuan Ming Wang^*

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Normal University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems. A comparison result among the various monotone sequences is given. The global error is analyzed, and some sufficient conditions are formulated to guarantee a geometric rate of convergence. The stability of the monotone method is proved. Some numerical results are presented.

Original language	English
Pages (from-to)	503-519
Number of pages	17
Journal	Journal of Computational and Applied Mathematics
Volume	200
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2006.01.011
State	Published - 15 Mar 2007

Keywords

Finite difference solution
Fourth-order elliptic equations
Global error
Monotone method
Rate of convergence
Stability

Access to Document

10.1016/j.cam.2006.01.011

Cite this

@article{68d68621782740f283a238f337730889,

title = "Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems",

abstract = "This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems. A comparison result among the various monotone sequences is given. The global error is analyzed, and some sufficient conditions are formulated to guarantee a geometric rate of convergence. The stability of the monotone method is proved. Some numerical results are presented.",

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

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

year = "2007",

month = mar,

day = "15",

doi = "10.1016/j.cam.2006.01.011",

language = "英语",

volume = "200",

pages = "503--519",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems

AU - Wang, Yuan Ming

PY - 2007/3/15

Y1 - 2007/3/15

N2 - This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems. A comparison result among the various monotone sequences is given. The global error is analyzed, and some sufficient conditions are formulated to guarantee a geometric rate of convergence. The stability of the monotone method is proved. Some numerical results are presented.

AB - This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems. A comparison result among the various monotone sequences is given. The global error is analyzed, and some sufficient conditions are formulated to guarantee a geometric rate of convergence. The stability of the monotone method is proved. Some numerical results are presented.

KW - Finite difference solution

KW - Fourth-order elliptic equations

KW - Global error

KW - Monotone method

KW - Rate of convergence

KW - Stability

UR - https://www.scopus.com/pages/publications/33846063787

U2 - 10.1016/j.cam.2006.01.011

DO - 10.1016/j.cam.2006.01.011

M3 - 文章

AN - SCOPUS:33846063787

SN - 0377-0427

VL - 200

SP - 503

EP - 519

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this