Extrapolation for finite volume approximations

Xiuling Ma; Dong Mao; Aihui Zhou

doi:10.1137/S1064827501398335

Extrapolation for finite volume approximations

Xiuling Ma^*
, Dong Mao
, Aihui Zhou

^*Corresponding author for this work

School of Mathematics and Statistics

West Virginia University
CAS - Academy of Mathematics and System Sciences

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

3 Citations (Scopus)

Abstract

In this paper, the extrapolation technique is applied to a finite volume method. Based on some asymptotic error expansions of finite volume solutions established in this paper, several extrapolation schemes are proposed for finite volume approximations to elliptic problems.

Original language	English
Pages (from-to)	1974-1993
Number of pages	20
Journal	SIAM Journal on Scientific Computing
Volume	24
Issue number	6
DOIs	https://doi.org/10.1137/S1064827501398335
Publication status	Published - 2003

Keywords

Extrapolation
Finite element
Finite volume
Superconvergence
Symmetric scheme

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title = "Extrapolation for finite volume approximations",

abstract = "In this paper, the extrapolation technique is applied to a finite volume method. Based on some asymptotic error expansions of finite volume solutions established in this paper, several extrapolation schemes are proposed for finite volume approximations to elliptic problems.",

keywords = "Extrapolation, Finite element, Finite volume, Superconvergence, Symmetric scheme",

author = "Xiuling Ma and Dong Mao and Aihui Zhou",

year = "2003",

doi = "10.1137/S1064827501398335",

language = "English",

volume = "24",

pages = "1974--1993",

journal = "SIAM Journal on Scientific Computing",

issn = "1064-8275",

publisher = "Society for Industrial and Applied Mathematics Publications",

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TY - JOUR

T1 - Extrapolation for finite volume approximations

AU - Ma, Xiuling

AU - Mao, Dong

AU - Zhou, Aihui

PY - 2003

Y1 - 2003

N2 - In this paper, the extrapolation technique is applied to a finite volume method. Based on some asymptotic error expansions of finite volume solutions established in this paper, several extrapolation schemes are proposed for finite volume approximations to elliptic problems.

AB - In this paper, the extrapolation technique is applied to a finite volume method. Based on some asymptotic error expansions of finite volume solutions established in this paper, several extrapolation schemes are proposed for finite volume approximations to elliptic problems.

KW - Extrapolation

KW - Finite element

KW - Finite volume

KW - Superconvergence

KW - Symmetric scheme

UR - https://www.scopus.com/pages/publications/0141552385

U2 - 10.1137/S1064827501398335

DO - 10.1137/S1064827501398335

M3 - Article

AN - SCOPUS:0141552385

SN - 1064-8275

VL - 24

SP - 1974

EP - 1993

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

IS - 6

ER -

Extrapolation for finite volume approximations

Abstract

Keywords

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