Application of Non-Linear Extrapolations for the Convergence Acceleration of Source Iteration

Paolo Picca; Roberto Furfaro; Barry D Ganapol

doi:10.1080/23324309.2016.1167742

Application of Non-Linear Extrapolations for the Convergence Acceleration of Source Iteration

Paolo Picca, Roberto Furfaro, Barry D Ganapol

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

2 Scopus citations

Abstract

Our paper presents a comparison of the extrapolated-based acceleration of source iteration (SI) techniques against classical acceleration schemes. The basis of the SI method is reviewed before presenting its combination with non-linear extrapolations. Two acceleration strategies are discussed, one based on the extrapolation of the source term for the SIs and the other based on the acceleration of the solution itself. Their performances are compared with classical acceleration techniques (diffusion synthetic acceleration and transport synthetic acceleration, showing the effectiveness of the combination of extrapolation with standard acceleration schemes.

Original language	English (US)
Pages (from-to)	351-367
Number of pages	17
Journal	Journal of Computational and Theoretical Transport
Volume	45
Issue number	5
DOIs	https://doi.org/10.1080/23324309.2016.1167742
State	Published - Jul 28 2016

Keywords

Linear transport theory
diffusion synthetic acceleration
non-linear extrapolation
source iteration acceleration

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Transportation
General Physics and Astronomy
Applied Mathematics

Access to Document

10.1080/23324309.2016.1167742

Cite this

@article{8b6e6ca24b294d3eaaaa44035721e8a0,

title = "Application of Non-Linear Extrapolations for the Convergence Acceleration of Source Iteration",

abstract = "Our paper presents a comparison of the extrapolated-based acceleration of source iteration (SI) techniques against classical acceleration schemes. The basis of the SI method is reviewed before presenting its combination with non-linear extrapolations. Two acceleration strategies are discussed, one based on the extrapolation of the source term for the SIs and the other based on the acceleration of the solution itself. Their performances are compared with classical acceleration techniques (diffusion synthetic acceleration and transport synthetic acceleration, showing the effectiveness of the combination of extrapolation with standard acceleration schemes.",

keywords = "Linear transport theory, diffusion synthetic acceleration, non-linear extrapolation, source iteration acceleration",

author = "Paolo Picca and Roberto Furfaro and Ganapol, {Barry D}",

note = "Publisher Copyright: {\textcopyright} 2016 Taylor & Francis Group, LLC.",

year = "2016",

month = jul,

day = "28",

doi = "10.1080/23324309.2016.1167742",

language = "English (US)",

volume = "45",

pages = "351--367",

journal = "Journal of Computational and Theoretical Transport",

issn = "2332-4309",

publisher = "Taylor and Francis Ltd.",

number = "5",

}

TY - JOUR

T1 - Application of Non-Linear Extrapolations for the Convergence Acceleration of Source Iteration

AU - Picca, Paolo

AU - Furfaro, Roberto

AU - Ganapol, Barry D

PY - 2016/7/28

Y1 - 2016/7/28

N2 - Our paper presents a comparison of the extrapolated-based acceleration of source iteration (SI) techniques against classical acceleration schemes. The basis of the SI method is reviewed before presenting its combination with non-linear extrapolations. Two acceleration strategies are discussed, one based on the extrapolation of the source term for the SIs and the other based on the acceleration of the solution itself. Their performances are compared with classical acceleration techniques (diffusion synthetic acceleration and transport synthetic acceleration, showing the effectiveness of the combination of extrapolation with standard acceleration schemes.

AB - Our paper presents a comparison of the extrapolated-based acceleration of source iteration (SI) techniques against classical acceleration schemes. The basis of the SI method is reviewed before presenting its combination with non-linear extrapolations. Two acceleration strategies are discussed, one based on the extrapolation of the source term for the SIs and the other based on the acceleration of the solution itself. Their performances are compared with classical acceleration techniques (diffusion synthetic acceleration and transport synthetic acceleration, showing the effectiveness of the combination of extrapolation with standard acceleration schemes.

KW - Linear transport theory

KW - diffusion synthetic acceleration

KW - non-linear extrapolation

KW - source iteration acceleration

UR - http://www.scopus.com/inward/record.url?scp=84978533750&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84978533750&partnerID=8YFLogxK

U2 - 10.1080/23324309.2016.1167742

DO - 10.1080/23324309.2016.1167742

M3 - Article

AN - SCOPUS:84978533750

SN - 2332-4309

VL - 45

SP - 351

EP - 367

JO - Journal of Computational and Theoretical Transport

JF - Journal of Computational and Theoretical Transport

IS - 5

ER -

Application of Non-Linear Extrapolations for the Convergence Acceleration of Source Iteration

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this