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

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

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.

Original language	English
Pages (from-to)	597-628
Number of pages	32
Journal	Numerische Mathematik
Volume	146
Issue number	3
DOIs	https://doi.org/10.1007/s00211-020-01149-5
Publication status	Published - 1 Nov 2020

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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\}",

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AU - Marchand, Pierre

AU - Claeys, Xavier

AU - Jolivet, Pierre

AU - Nataf, Frédéric

AU - Tournier, Pierre Henri

PY - 2020/11/1

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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.

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DO - 10.1007/s00211-020-01149-5

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JO - Numerische Mathematik

JF - Numerische Mathematik

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

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