A study of prolongation operators between non-nested meshes

Thomas Dickopf; Rolf Krause

doi:10.1007/978-3-642-11304-8_39

A study of prolongation operators between non-nested meshes

Thomas Dickopf^*, Rolf Krause

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

For a class of multilevel preconditioners based on non-nested meshes, we study numerically several selected prolongation and restriction operators. Robustness with respect to the mesh size and to jumps in the coefficients is demonstrated.

Original language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XIX
Pages	343-350
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-642-11304-8_39
State	Published - 2010
Event	19th International Conference on Domain Decomposition, DD19 - Zhanjiajie, China Duration: Aug 17 2009 → Aug 22 2009

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	78 LNCSE
ISSN (Print)	1439-7358

Other

Other	19th International Conference on Domain Decomposition, DD19
Country/Territory	China
City	Zhanjiajie
Period	08/17/09 → 08/22/09

Keywords

Finite elements
Geometric and algebraic multigrid methods
Multilevel preconditioners
Non-nested meshes
Prolongation

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-642-11304-8_39

Cite this

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title = "A study of prolongation operators between non-nested meshes",

abstract = "For a class of multilevel preconditioners based on non-nested meshes, we study numerically several selected prolongation and restriction operators. Robustness with respect to the mesh size and to jumps in the coefficients is demonstrated.",

keywords = "Finite elements, Geometric and algebraic multigrid methods, Multilevel preconditioners, Non-nested meshes, Prolongation",

author = "Thomas Dickopf and Rolf Krause",

year = "2010",

doi = "10.1007/978-3-642-11304-8_39",

language = "English (US)",

isbn = "9783642113031",

series = "Lecture Notes in Computational Science and Engineering",

pages = "343--350",

booktitle = "Domain Decomposition Methods in Science and Engineering XIX",

note = "19th International Conference on Domain Decomposition, DD19 ; Conference date: 17-08-2009 Through 22-08-2009",

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Dickopf, T & Krause, R 2010, A study of prolongation operators between non-nested meshes. in Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol. 78 LNCSE, pp. 343-350, 19th International Conference on Domain Decomposition, DD19, Zhanjiajie, China, 08/17/09. https://doi.org/10.1007/978-3-642-11304-8_39

TY - GEN

T1 - A study of prolongation operators between non-nested meshes

AU - Dickopf, Thomas

AU - Krause, Rolf

PY - 2010

Y1 - 2010

N2 - For a class of multilevel preconditioners based on non-nested meshes, we study numerically several selected prolongation and restriction operators. Robustness with respect to the mesh size and to jumps in the coefficients is demonstrated.

AB - For a class of multilevel preconditioners based on non-nested meshes, we study numerically several selected prolongation and restriction operators. Robustness with respect to the mesh size and to jumps in the coefficients is demonstrated.

KW - Finite elements

KW - Geometric and algebraic multigrid methods

KW - Multilevel preconditioners

KW - Non-nested meshes

KW - Prolongation

UR - http://www.scopus.com/inward/record.url?scp=78651556806&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-11304-8_39

DO - 10.1007/978-3-642-11304-8_39

M3 - Conference contribution

AN - SCOPUS:78651556806

SN - 9783642113031

T3 - Lecture Notes in Computational Science and Engineering

SP - 343

EP - 350

BT - Domain Decomposition Methods in Science and Engineering XIX

T2 - 19th International Conference on Domain Decomposition, DD19

Y2 - 17 August 2009 through 22 August 2009

ER -

A study of prolongation operators between non-nested meshes

Abstract

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Keywords

ASJC Scopus subject areas

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