Finite volume methods for eigenvalue problems

Shengde Liang; Xiuling Ma; Aihui Zhou

doi:10.1023/A:1021946607960

Finite volume methods for eigenvalue problems

Shengde Liang^*, Xiuling Ma, Aihui Zhou

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

Based on a linear finite element space, in this paper, two symmetric finite volume schemes are proposed for self-adjoint elliptic boundary eigenvalue problems. Both convergence and superconvergence are discussed.

Original language	English
Pages (from-to)	345-363
Number of pages	19
Journal	BIT Numerical Mathematics
Volume	41
Issue number	2
DOIs	https://doi.org/10.1023/A:1021946607960
Publication status	Published - Jun 2001
Externally published	Yes

Keywords

Eigenvalue
Finite element
Finite volume
Superconvergence
Two-grid scheme

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title = "Finite volume methods for eigenvalue problems",

abstract = "Based on a linear finite element space, in this paper, two symmetric finite volume schemes are proposed for self-adjoint elliptic boundary eigenvalue problems. Both convergence and superconvergence are discussed.",

keywords = "Eigenvalue, Finite element, Finite volume, Superconvergence, Two-grid scheme",

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

year = "2001",

month = jun,

doi = "10.1023/A:1021946607960",

language = "English",

volume = "41",

pages = "345--363",

journal = "BIT Numerical Mathematics",

issn = "0006-3835",

publisher = "Springer Netherlands",

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T1 - Finite volume methods for eigenvalue problems

AU - Liang, Shengde

AU - Ma, Xiuling

AU - Zhou, Aihui

PY - 2001/6

Y1 - 2001/6

N2 - Based on a linear finite element space, in this paper, two symmetric finite volume schemes are proposed for self-adjoint elliptic boundary eigenvalue problems. Both convergence and superconvergence are discussed.

AB - Based on a linear finite element space, in this paper, two symmetric finite volume schemes are proposed for self-adjoint elliptic boundary eigenvalue problems. Both convergence and superconvergence are discussed.

KW - Eigenvalue

KW - Finite element

KW - Finite volume

KW - Superconvergence

KW - Two-grid scheme

UR - http://www.scopus.com/inward/record.url?scp=0041331506&partnerID=8YFLogxK

U2 - 10.1023/A:1021946607960

DO - 10.1023/A:1021946607960

M3 - Article

AN - SCOPUS:0041331506

SN - 0006-3835

VL - 41

SP - 345

EP - 363

JO - BIT Numerical Mathematics

JF - BIT Numerical Mathematics

IS - 2

ER -

Finite volume methods for eigenvalue problems

Abstract

Keywords

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