Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions

Yanping Lin; Tie Zhang

doi:10.1016/0022-247X(92)90074-N

Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions

Yanping Lin, Tie Zhang

Research output: Journal article publication › Journal article › Academic research › peer-review

37 Citations (Scopus)

Abstract

We derive optimal L2 error estimates for semi-discrete finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions. A new projection is introduced and used in the error analysis.

Original language	English
Pages (from-to)	180-191
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	165
Issue number	1
DOIs	https://doi.org/10.1016/0022-247X(92)90074-N
Publication status	Published - 15 Mar 1992
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/0022-247X(92)90074-N

Cite this

@article{7decb03bf40c4a31a242c0c9f0a37e23,

title = "Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions",

abstract = "We derive optimal L2 error estimates for semi-discrete finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions. A new projection is introduced and used in the error analysis.",

author = "Yanping Lin and Tie Zhang",

year = "1992",

month = mar,

day = "15",

doi = "10.1016/0022-247X(92)90074-N",

language = "English",

volume = "165",

pages = "180--191",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions

AU - Lin, Yanping

AU - Zhang, Tie

PY - 1992/3/15

Y1 - 1992/3/15

N2 - We derive optimal L2 error estimates for semi-discrete finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions. A new projection is introduced and used in the error analysis.

AB - We derive optimal L2 error estimates for semi-discrete finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions. A new projection is introduced and used in the error analysis.

UR - http://www.scopus.com/inward/record.url?scp=38249013632&partnerID=8YFLogxK

U2 - 10.1016/0022-247X(92)90074-N

DO - 10.1016/0022-247X(92)90074-N

M3 - Journal article

SN - 0022-247X

VL - 165

SP - 180

EP - 191

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions

Abstract

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this