A local projection stabilized method for fictitious domains

Gabriel R. Barrenechea; Franz Chouly

doi:10.1016/j.aml.2012.04.020

A local projection stabilized method for fictitious domains

Gabriel R. Barrenechea, Franz Chouly

Mathematics And Statistics

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Abstract

In this work a local projection stabilization method is proposed for solving a fictitious domain problem. The method adds a suitable fluctuation term to the formulation, thus yielding the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated with a numerical experiment.

Original language	English
Pages (from-to)	2071-2076
Number of pages	6
Journal	Applied Mathematics Letters
Volume	25
Issue number	12
Early online date	5 May 2012
DOIs	https://doi.org/10.1016/j.aml.2012.04.020
Publication status	Published - 26 Dec 2012

Keywords

fictitious domain
minimal stabilization method
local projection
Lagrange multiplier stable

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10.1016/j.aml.2012.04.020

Barrenechea-Chouly-AML-2012-A-local-projection-stabilized-method-for-fictitious-domainsAccepted author manuscript, 295 KBLicence: CC BY-NC-ND 4.0

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abstract = "In this work a local projection stabilization method is proposed for solving a fictitious domain problem. The method adds a suitable fluctuation term to the formulation, thus yielding the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated with a numerical experiment.",

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AU - Chouly, Franz

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AB - In this work a local projection stabilization method is proposed for solving a fictitious domain problem. The method adds a suitable fluctuation term to the formulation, thus yielding the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated with a numerical experiment.

KW - fictitious domain

KW - minimal stabilization method

KW - local projection

KW - Lagrange multiplier stable

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U2 - 10.1016/j.aml.2012.04.020

DO - 10.1016/j.aml.2012.04.020

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SP - 2071

EP - 2076

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

IS - 12

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A local projection stabilized method for fictitious domains

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Keywords

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