Additive and Multiplicative Multi-Grid - A Comparison

P. Bastian; W. Hackbusch; G. Wittum

doi:10.1007/BF02684380

Additive and Multiplicative Multi-Grid - A Comparison

P. Bastian^*, W. Hackbusch, G. Wittum

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

28 Scopus citations

Abstract

In the present paper we describe and classify these numerous variants such as BPX, hierachical basis, HBMG, local multi-grid etc. in the framework of multi-grid. We compare additive and multiplicative multi-grid and particularly investigate the different behaviour with respect to smoothing. Theoretical as well as numerical results are presented.

Original language	English (US)
Pages (from-to)	345-364
Number of pages	20
Journal	Computing (Vienna/New York)
Volume	60
Issue number	4
DOIs	https://doi.org/10.1007/BF02684380
State	Published - 1998
Externally published	Yes

Keywords

Multi-grid

ASJC Scopus subject areas

Software
Computational Mathematics
Theoretical Computer Science
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics

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10.1007/BF02684380

Cite this

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title = "Additive and Multiplicative Multi-Grid - A Comparison",

abstract = "In the present paper we describe and classify these numerous variants such as BPX, hierachical basis, HBMG, local multi-grid etc. in the framework of multi-grid. We compare additive and multiplicative multi-grid and particularly investigate the different behaviour with respect to smoothing. Theoretical as well as numerical results are presented.",

keywords = "Multi-grid",

author = "P. Bastian and W. Hackbusch and G. Wittum",

year = "1998",

doi = "10.1007/BF02684380",

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journal = "Computing (Vienna/New York)",

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T1 - Additive and Multiplicative Multi-Grid - A Comparison

AU - Bastian, P.

AU - Hackbusch, W.

AU - Wittum, G.

PY - 1998

Y1 - 1998

N2 - In the present paper we describe and classify these numerous variants such as BPX, hierachical basis, HBMG, local multi-grid etc. in the framework of multi-grid. We compare additive and multiplicative multi-grid and particularly investigate the different behaviour with respect to smoothing. Theoretical as well as numerical results are presented.

AB - In the present paper we describe and classify these numerous variants such as BPX, hierachical basis, HBMG, local multi-grid etc. in the framework of multi-grid. We compare additive and multiplicative multi-grid and particularly investigate the different behaviour with respect to smoothing. Theoretical as well as numerical results are presented.

KW - Multi-grid

UR - http://www.scopus.com/inward/record.url?scp=0031625842&partnerID=8YFLogxK

U2 - 10.1007/BF02684380

DO - 10.1007/BF02684380

M3 - Review article

AN - SCOPUS:0031625842

SN - 0010-485X

VL - 60

SP - 345

EP - 364

JO - Computing (Vienna/New York)

JF - Computing (Vienna/New York)

IS - 4

ER -

Additive and Multiplicative Multi-Grid - A Comparison

Abstract

Keywords

ASJC Scopus subject areas

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