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

24 Citations (Scopus)

246 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

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10.1016/j.cam.2018.08.041

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© 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

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AU - Lin, Ping

AU - Gao, Fuzheng

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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

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DO - 10.1016/j.cam.2018.08.041

M3 - Article

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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

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