A symmetric finite volume scheme for selfadjoint elliptic problems

Shengde Liang; Xiuling Ma; Aihui Zhou

doi:10.1016/S0377-0427(02)00428-4

A symmetric finite volume scheme for selfadjoint elliptic problems

Shengde Liang, Xiuling Ma, Aihui Zhou^*

^*Corresponding author for this work

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

19 Citations (Scopus)

Abstract

Based on a linear finite element space, a symmetric finite volume scheme for a self-adjoint elliptic boundary-value problem is proposed. Error estimates in L²-norm, H¹-norm, and L∞-norm are derived. Some post-processing techniques are also provided.

Original language	English
Pages (from-to)	121-136
Number of pages	16
Journal	Journal of Computational and Applied Mathematics
Volume	147
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(02)00428-4
Publication status	Published - 1 Oct 2002
Externally published	Yes

Keywords

Finite element
Finite volume
Post-processing
Symmetric scheme

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10.1016/S0377-0427(02)00428-4

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title = "A symmetric finite volume scheme for selfadjoint elliptic problems",

abstract = "Based on a linear finite element space, a symmetric finite volume scheme for a self-adjoint elliptic boundary-value problem is proposed. Error estimates in L2-norm, H1-norm, and L∞-norm are derived. Some post-processing techniques are also provided.",

keywords = "Finite element, Finite volume, Post-processing, Symmetric scheme",

author = "Shengde Liang and Xiuling Ma and Aihui Zhou",

year = "2002",

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doi = "10.1016/S0377-0427(02)00428-4",

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T1 - A symmetric finite volume scheme for selfadjoint elliptic problems

AU - Liang, Shengde

AU - Ma, Xiuling

AU - Zhou, Aihui

PY - 2002/10/1

Y1 - 2002/10/1

N2 - Based on a linear finite element space, a symmetric finite volume scheme for a self-adjoint elliptic boundary-value problem is proposed. Error estimates in L2-norm, H1-norm, and L∞-norm are derived. Some post-processing techniques are also provided.

AB - Based on a linear finite element space, a symmetric finite volume scheme for a self-adjoint elliptic boundary-value problem is proposed. Error estimates in L2-norm, H1-norm, and L∞-norm are derived. Some post-processing techniques are also provided.

KW - Finite element

KW - Finite volume

KW - Post-processing

KW - Symmetric scheme

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U2 - 10.1016/S0377-0427(02)00428-4

DO - 10.1016/S0377-0427(02)00428-4

M3 - Article

AN - SCOPUS:0036772657

SN - 0377-0427

VL - 147

SP - 121

EP - 136

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

A symmetric finite volume scheme for selfadjoint elliptic problems

Abstract

Keywords

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