A two-grid discretization scheme for eigenvalue problems

Jinchao Xu; Aihui Zhou

doi:10.1090/s0025-5718-99-01180-1

A two-grid discretization scheme for eigenvalue problems

Jinchao Xu, Aihui Zhou

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

227 Scopus citations

Abstract

A two-grid discretization scheme is proposed for solving eigenvalue problems, including both partial differential equations and integral equations. With this new scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid, and the solution of a linear algebraic system on the fine grid and the resulting solution still maintains an asymptotically optimal accuracy.

Original language	English (US)
Pages (from-to)	17-25
Number of pages	9
Journal	Mathematics of Computation
Volume	70
Issue number	233
DOIs	https://doi.org/10.1090/s0025-5718-99-01180-1
State	Published - Jan 1 2001
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/s0025-5718-99-01180-1

Cite this

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AB - A two-grid discretization scheme is proposed for solving eigenvalue problems, including both partial differential equations and integral equations. With this new scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid, and the solution of a linear algebraic system on the fine grid and the resulting solution still maintains an asymptotically optimal accuracy.

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A two-grid discretization scheme for eigenvalue problems

Abstract

Bibliographical note

ASJC Scopus subject areas

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