Krylov subspace acceleration for nonlinear multigrid schemes

T. Washiq; C. W. Oosterlee

Krylov subspace acceleration for nonlinear multigrid schemes

T. Washiq^*
, C. W. Oosterlee

^*Corresponding author for this work

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

Abstract

In this paper we present a Krylov acceleration technique for nonlinear PDEs. As a 'preconditioner' we use nonlinear multigrid schemes such as the Full Approximation Scheme (FAS) [1]. The benefits of nonlinear multigrid used in combination with the new accelerator are illustrated by difficult nonlinear elliptic scalar problems, such as the Bratu problem, and for systems of nonlinear equations, such as the Navier-Stokes equations. ,.

Original language	English
Pages (from-to)	271-290
Number of pages	20
Journal	Electronic Transactions on Numerical Analysis
Volume	6
Publication status	Published - 1997
Externally published	Yes

Keywords

Nonlinear krylov acceleration
Nonlinear multigrid, robustness
Restarting conditions

Cite this

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title = "Krylov subspace acceleration for nonlinear multigrid schemes",

abstract = "In this paper we present a Krylov acceleration technique for nonlinear PDEs. As a 'preconditioner' we use nonlinear multigrid schemes such as the Full Approximation Scheme (FAS) [1]. The benefits of nonlinear multigrid used in combination with the new accelerator are illustrated by difficult nonlinear elliptic scalar problems, such as the Bratu problem, and for systems of nonlinear equations, such as the Navier-Stokes equations. ,.",

keywords = "Nonlinear krylov acceleration, Nonlinear multigrid, robustness, Restarting conditions",

author = "T. Washiq and Oosterlee, \{C. W.\}",

year = "1997",

language = "English",

volume = "6",

pages = "271--290",

journal = "Electronic Transactions on Numerical Analysis",

issn = "1068-9613",

publisher = "Kent State University",

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TY - JOUR

T1 - Krylov subspace acceleration for nonlinear multigrid schemes

AU - Washiq, T.

AU - Oosterlee, C. W.

PY - 1997

Y1 - 1997

N2 - In this paper we present a Krylov acceleration technique for nonlinear PDEs. As a 'preconditioner' we use nonlinear multigrid schemes such as the Full Approximation Scheme (FAS) [1]. The benefits of nonlinear multigrid used in combination with the new accelerator are illustrated by difficult nonlinear elliptic scalar problems, such as the Bratu problem, and for systems of nonlinear equations, such as the Navier-Stokes equations. ,.

AB - In this paper we present a Krylov acceleration technique for nonlinear PDEs. As a 'preconditioner' we use nonlinear multigrid schemes such as the Full Approximation Scheme (FAS) [1]. The benefits of nonlinear multigrid used in combination with the new accelerator are illustrated by difficult nonlinear elliptic scalar problems, such as the Bratu problem, and for systems of nonlinear equations, such as the Navier-Stokes equations. ,.

KW - Nonlinear krylov acceleration

KW - Nonlinear multigrid, robustness

KW - Restarting conditions

UR - https://www.scopus.com/pages/publications/0005547639

M3 - Article

AN - SCOPUS:0005547639

SN - 1068-9613

VL - 6

SP - 271

EP - 290

JO - Electronic Transactions on Numerical Analysis

JF - Electronic Transactions on Numerical Analysis

ER -

Krylov subspace acceleration for nonlinear multigrid schemes

Abstract

Keywords

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