Distributed Lagrange Multiplier for Fluid-Structure Interactions

Daniele Boffi; Frédéric Hecht; Olivier Pironneau

doi:10.1007/978-3-319-94676-4_5

Distributed Lagrange Multiplier for Fluid-Structure Interactions

Daniele Boffi, Frédéric Hecht, Olivier Pironneau

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

Abstract

In this paper we make preliminary numerical tests to assess the performance of the scheme introduced in Boffi et al. (SIAM J Numer Anal 53(6):2584–2604, 2015) and analyzed in Boffi and Gastaldi (Numer Math 135(3):711–732, 2017) for the approximation of fluid-structure interaction problems. We show how to implement the scheme within the FreeFem++ framework (Hecht, J Numer Math 20(3–4):251–265, 2012) and validate our code with respect to some known problems and benchmarks. The main conclusion is that a simple implementation can provide quite accurate results for non trivial applications.

Original language	English (US)
Title of host publication	SEMA SIMAI Springer Series
Publisher	Springer International Publishing
Pages	129-145
Number of pages	17
DOIs	https://doi.org/10.1007/978-3-319-94676-4_5
State	Published - Jan 1 2018
Externally published	Yes

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abstract = "In this paper we make preliminary numerical tests to assess the performance of the scheme introduced in Boffi et al. (SIAM J Numer Anal 53(6):2584–2604, 2015) and analyzed in Boffi and Gastaldi (Numer Math 135(3):711–732, 2017) for the approximation of fluid-structure interaction problems. We show how to implement the scheme within the FreeFem++ framework (Hecht, J Numer Math 20(3–4):251–265, 2012) and validate our code with respect to some known problems and benchmarks. The main conclusion is that a simple implementation can provide quite accurate results for non trivial applications.",

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AU - Hecht, Frédéric

AU - Pironneau, Olivier

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PY - 2018/1/1

Y1 - 2018/1/1

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AB - In this paper we make preliminary numerical tests to assess the performance of the scheme introduced in Boffi et al. (SIAM J Numer Anal 53(6):2584–2604, 2015) and analyzed in Boffi and Gastaldi (Numer Math 135(3):711–732, 2017) for the approximation of fluid-structure interaction problems. We show how to implement the scheme within the FreeFem++ framework (Hecht, J Numer Math 20(3–4):251–265, 2012) and validate our code with respect to some known problems and benchmarks. The main conclusion is that a simple implementation can provide quite accurate results for non trivial applications.

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BT - SEMA SIMAI Springer Series

PB - Springer International Publishing

ER -

Distributed Lagrange Multiplier for Fluid-Structure Interactions

Abstract

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