An Expanded Mixed Finite Element Method for Two-dimensional Sobolev Equations

Na Li; Ping Lin; Fuzheng Gao

doi:10.1016/j.cam.2018.08.041

An Expanded Mixed Finite Element Method for Two-dimensional Sobolev Equations

Na Li, Ping Lin (Lead / Corresponding author), Fuzheng Gao

Mathematics

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

15 Citations (Scopus)

160 Downloads (Pure)

Abstract

In this paper we provide an expanded mixed finite element method for a class of two-dimensional Sobolev equations. The optimal error estimates for a semi-discrete scheme and a fully discrete scheme are obtained. Also numerical examples are stated to verify our theoretical results.

Original language	English
Pages (from-to)	342-355
Number of pages	14
Journal	Journal of Computational and Applied Mathematics
Volume	348
Early online date	7 Sept 2018
DOIs	https://doi.org/10.1016/j.cam.2018.08.041
Publication status	Published - 1 Mar 2019

Keywords

Sobolev equation
Expanded mixed finite element
Error estimate
Numerical experiment

Access to Document

10.1016/j.cam.2018.08.041

Author Accepted Manuscript
© 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 680 KBLicence: CC BY-NC-ND

Cite this

@article{feb0a92609ca4c1a9f6f4b6db86556d0,

title = "An Expanded Mixed Finite Element Method for Two-dimensional Sobolev Equations",

abstract = "In this paper we provide an expanded mixed finite element method for a class of two-dimensional Sobolev equations. The optimal error estimates for a semi-discrete scheme and a fully discrete scheme are obtained. Also numerical examples are stated to verify our theoretical results.",

keywords = "Sobolev equation, Expanded mixed finite element, Error estimate, Numerical experiment",

author = "Na Li and Ping Lin and Fuzheng Gao",

year = "2019",

month = mar,

day = "1",

doi = "10.1016/j.cam.2018.08.041",

language = "English",

volume = "348",

pages = "342--355",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

}

TY - JOUR

T1 - An Expanded Mixed Finite Element Method for Two-dimensional Sobolev Equations

AU - Li, Na

AU - Lin, Ping

AU - Gao, Fuzheng

PY - 2019/3/1

Y1 - 2019/3/1

N2 - In this paper we provide an expanded mixed finite element method for a class of two-dimensional Sobolev equations. The optimal error estimates for a semi-discrete scheme and a fully discrete scheme are obtained. Also numerical examples are stated to verify our theoretical results.

AB - In this paper we provide an expanded mixed finite element method for a class of two-dimensional Sobolev equations. The optimal error estimates for a semi-discrete scheme and a fully discrete scheme are obtained. Also numerical examples are stated to verify our theoretical results.

KW - Sobolev equation

KW - Expanded mixed finite element

KW - Error estimate

KW - Numerical experiment

U2 - 10.1016/j.cam.2018.08.041

DO - 10.1016/j.cam.2018.08.041

M3 - Article

SN - 0377-0427

VL - 348

SP - 342

EP - 355

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

An Expanded Mixed Finite Element Method for Two-dimensional Sobolev Equations

Abstract

Keywords

Access to Document

Fingerprint

Cite this