A fictitious domain approach with Lagrange multiplier for fluid-structure interactions

Daniele Boffi; Lucia Gastaldi

doi:10.1007/s00211-016-0814-1

A fictitious domain approach with Lagrange multiplier for fluid-structure interactions

Daniele Boffi, Lucia Gastaldi

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

52 Scopus citations

Abstract

We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed problem for which a rigorous stability analysis is provided. The finite element space discretization is discussed and optimal convergence estimates are proved.

Original language	English (US)
Pages (from-to)	711-732
Number of pages	22
Journal	Numerische Mathematik
Volume	135
Issue number	3
DOIs	https://doi.org/10.1007/s00211-016-0814-1
State	Published - Mar 1 2017
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2020-05-05

Access to Document

10.1007/s00211-016-0814-1

Cite this

@article{7dbd1199ba314f13bb0caf6739c2e488,

title = "A fictitious domain approach with Lagrange multiplier for fluid-structure interactions",

abstract = "We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed problem for which a rigorous stability analysis is provided. The finite element space discretization is discussed and optimal convergence estimates are proved.",

author = "Daniele Boffi and Lucia Gastaldi",

note = "Generated from Scopus record by KAUST IRTS on 2020-05-05",

year = "2017",

month = mar,

day = "1",

doi = "10.1007/s00211-016-0814-1",

language = "English (US)",

volume = "135",

pages = "711--732",

journal = "Numerische Mathematik",

issn = "0029-599X",

publisher = "Springer Verlag",

number = "3",

}

TY - JOUR

T1 - A fictitious domain approach with Lagrange multiplier for fluid-structure interactions

AU - Boffi, Daniele

AU - Gastaldi, Lucia

N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed problem for which a rigorous stability analysis is provided. The finite element space discretization is discussed and optimal convergence estimates are proved.

AB - We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed problem for which a rigorous stability analysis is provided. The finite element space discretization is discussed and optimal convergence estimates are proved.

UR - http://link.springer.com/10.1007/s00211-016-0814-1

UR - http://www.scopus.com/inward/record.url?scp=85011827178&partnerID=8YFLogxK

U2 - 10.1007/s00211-016-0814-1

DO - 10.1007/s00211-016-0814-1

M3 - Article

SN - 0029-599X

VL - 135

SP - 711

EP - 732

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 3

ER -

A fictitious domain approach with Lagrange multiplier for fluid-structure interactions

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this