Abstract cascading multigrid preconditioners in Besov spaces

Jingtang Ma; Hermann BRUNNER

doi:10.3934/cpaa.2006.5.349

Abstract cascading multigrid preconditioners in Besov spaces

Jingtang Ma^*, Hermann BRUNNER

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

Abstract

In this paper we describe and analyze the general framework of cascading multigrid preconditioning. In particular, we introduce two preconditioners based on the cascading multigrid approach. We then illustrate the application of the corresponding method to the heat equation with mild regularity in Besov spaces. Furthermore, we analyze a cascading multigrid preconditioner for the interior penalty discontinuous Galerkin method.

Original language	English
Pages (from-to)	349-365
Number of pages	17
Journal	Communications on Pure and Applied Analysis
Volume	5
Issue number	2
DOIs	https://doi.org/10.3934/cpaa.2006.5.349
Publication status	Published - Jun 2006

Scopus Subject Areas

Analysis
Applied Mathematics

User-Defined Keywords

Besov spaces
Cascading multigrid method
Discontinuous Galerkin method
Finite element method
Preconditioner

Access to Document

10.3934/cpaa.2006.5.349

Cite this

@article{396629b2f1b343e4b44579fb55a74510,

title = "Abstract cascading multigrid preconditioners in Besov spaces",

abstract = "In this paper we describe and analyze the general framework of cascading multigrid preconditioning. In particular, we introduce two preconditioners based on the cascading multigrid approach. We then illustrate the application of the corresponding method to the heat equation with mild regularity in Besov spaces. Furthermore, we analyze a cascading multigrid preconditioner for the interior penalty discontinuous Galerkin method.",

keywords = "Besov spaces, Cascading multigrid method, Discontinuous Galerkin method, Finite element method, Preconditioner",

author = "Jingtang Ma and Hermann BRUNNER",

note = "This research was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC). ",

year = "2006",

month = jun,

doi = "10.3934/cpaa.2006.5.349",

language = "English",

volume = "5",

pages = "349--365",

journal = "Communications on Pure and Applied Analysis",

issn = "1534-0392",

publisher = "American Institute of Mathematical Sciences",

number = "2",

}

TY - JOUR

T1 - Abstract cascading multigrid preconditioners in Besov spaces

AU - Ma, Jingtang

AU - BRUNNER, Hermann

N1 - This research was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC).

PY - 2006/6

Y1 - 2006/6

N2 - In this paper we describe and analyze the general framework of cascading multigrid preconditioning. In particular, we introduce two preconditioners based on the cascading multigrid approach. We then illustrate the application of the corresponding method to the heat equation with mild regularity in Besov spaces. Furthermore, we analyze a cascading multigrid preconditioner for the interior penalty discontinuous Galerkin method.

AB - In this paper we describe and analyze the general framework of cascading multigrid preconditioning. In particular, we introduce two preconditioners based on the cascading multigrid approach. We then illustrate the application of the corresponding method to the heat equation with mild regularity in Besov spaces. Furthermore, we analyze a cascading multigrid preconditioner for the interior penalty discontinuous Galerkin method.

KW - Besov spaces

KW - Cascading multigrid method

KW - Discontinuous Galerkin method

KW - Finite element method

KW - Preconditioner

UR - http://www.scopus.com/inward/record.url?scp=33646370527&partnerID=8YFLogxK

U2 - 10.3934/cpaa.2006.5.349

DO - 10.3934/cpaa.2006.5.349

M3 - Journal article

AN - SCOPUS:33646370527

SN - 1534-0392

VL - 5

SP - 349

EP - 365

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 2

ER -

Abstract cascading multigrid preconditioners in Besov spaces

Abstract

Scopus Subject Areas

User-Defined Keywords

Access to Document

Other files and links

Fingerprint

Cite this