Two-level preconditioning for h -version boundary element approximation of hypersingular operator with GenEO

Pierre Marchand; Xavier Claeys; Pierre Jolivet; Frédéric Nataf; Pierre Henri Tournier

doi:10.1007/s00211-020-01149-5

Two-level preconditioning for h -version boundary element approximation of hypersingular operator with GenEO

Pierre Marchand
, Xavier Claeys
, Pierre Jolivet
, Frédéric Nataf
, Pierre Henri Tournier

Universite Paul Sabatier
Sorbonne Université

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

7 Citations (Scopus)

Résumé

In the present contribution, we consider symmetric positive definite operators stemming from boundary integral equation, and we study a two-level preconditioner where the coarse space is built using local generalized eigenproblems in the overlap. We will refer to this coarse space as the GenEO coarse space.

langue originale	Anglais
Pages (de - à)	597-628
Nombre de pages	32
journal	Numerische Mathematik
Volume	146
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s00211-020-01149-5
état	Publié - 1 nov. 2020

Accès au document

10.1007/s00211-020-01149-5

Contient cette citation

@article{4c6aadad63154c42b0d727e42d63d460,

title = "Two-level preconditioning for h -version boundary element approximation of hypersingular operator with GenEO",

abstract = "In the present contribution, we consider symmetric positive definite operators stemming from boundary integral equation, and we study a two-level preconditioner where the coarse space is built using local generalized eigenproblems in the overlap. We will refer to this coarse space as the GenEO coarse space.",

author = "Pierre Marchand and Xavier Claeys and Pierre Jolivet and Fr{\'e}d{\'e}ric Nataf and Tournier, \{Pierre Henri\}",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2020",

month = nov,

day = "1",

doi = "10.1007/s00211-020-01149-5",

language = "English",

volume = "146",

pages = "597--628",

journal = "Numerische Mathematik",

issn = "0029-599X",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Two-level preconditioning for h -version boundary element approximation of hypersingular operator with GenEO

AU - Marchand, Pierre

AU - Claeys, Xavier

AU - Jolivet, Pierre

AU - Nataf, Frédéric

AU - Tournier, Pierre Henri

PY - 2020/11/1

Y1 - 2020/11/1

N2 - In the present contribution, we consider symmetric positive definite operators stemming from boundary integral equation, and we study a two-level preconditioner where the coarse space is built using local generalized eigenproblems in the overlap. We will refer to this coarse space as the GenEO coarse space.

AB - In the present contribution, we consider symmetric positive definite operators stemming from boundary integral equation, and we study a two-level preconditioner where the coarse space is built using local generalized eigenproblems in the overlap. We will refer to this coarse space as the GenEO coarse space.

U2 - 10.1007/s00211-020-01149-5

DO - 10.1007/s00211-020-01149-5

M3 - Article

AN - SCOPUS:85091683191

SN - 0029-599X

VL - 146

SP - 597

EP - 628

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 3

ER -

Two-level preconditioning for h -version boundary element approximation of hypersingular operator with GenEO

Résumé

Accès au document

Empreinte digitale

Contient cette citation