On a fictitious domain method with distributed Lagrange multiplier for interface problems

Ferdinando Auricchio; Daniele Boffi; Lucia Gastaldi; Adrien Lefieux; Alessandro Reali

doi:10.1016/j.apnum.2014.05.013

On a fictitious domain method with distributed Lagrange multiplier for interface problems

Ferdinando Auricchio, Daniele Boffi, Lucia Gastaldi, Adrien Lefieux, Alessandro Reali

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

25 Scopus citations

Abstract

In this paper we propose a new variational formulation for an elliptic interface problem and discuss its finite element approximation. Our formulation fits within the framework of fictitious domain methods with distributed Lagrange multipliers. For the underlying mixed scheme we prove stability and convergence. Some preliminary numerical tests confirm the theoretical investigations.

Original language	English (US)
Pages (from-to)	36-50
Number of pages	15
Journal	Applied Numerical Mathematics
Volume	95
DOIs	https://doi.org/10.1016/j.apnum.2014.05.013
State	Published - May 26 2015
Externally published	Yes

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

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title = "On a fictitious domain method with distributed Lagrange multiplier for interface problems",

abstract = "In this paper we propose a new variational formulation for an elliptic interface problem and discuss its finite element approximation. Our formulation fits within the framework of fictitious domain methods with distributed Lagrange multipliers. For the underlying mixed scheme we prove stability and convergence. Some preliminary numerical tests confirm the theoretical investigations.",

author = "Ferdinando Auricchio and Daniele Boffi and Lucia Gastaldi and Adrien Lefieux and Alessandro Reali",

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AU - Auricchio, Ferdinando

AU - Boffi, Daniele

AU - Gastaldi, Lucia

AU - Lefieux, Adrien

AU - Reali, Alessandro

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

PY - 2015/5/26

Y1 - 2015/5/26

N2 - In this paper we propose a new variational formulation for an elliptic interface problem and discuss its finite element approximation. Our formulation fits within the framework of fictitious domain methods with distributed Lagrange multipliers. For the underlying mixed scheme we prove stability and convergence. Some preliminary numerical tests confirm the theoretical investigations.

AB - In this paper we propose a new variational formulation for an elliptic interface problem and discuss its finite element approximation. Our formulation fits within the framework of fictitious domain methods with distributed Lagrange multipliers. For the underlying mixed scheme we prove stability and convergence. Some preliminary numerical tests confirm the theoretical investigations.

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DO - 10.1016/j.apnum.2014.05.013

M3 - Article

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VL - 95

SP - 36

EP - 50

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

ER -

On a fictitious domain method with distributed Lagrange multiplier for interface problems

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