We study a mixed formulation for elliptic interface problems which has been recently introduced when dealing with a test problem arising from fluid–structure interaction applications. The formulation, which involves a Lagrange multiplier defined in the solid domain, can be approximated by standard finite elements on meshes which do not need to fit with the interface. In this paper we discuss a modification of the original formulation involving a different approach for the analysis and the numerical implementation of the Lagrange multiplier. New two-dimensional numerical results confirm the good performances of the proposed schemes.

Mixed formulation for interface problems with distributed Lagrange multiplier

GASTALDI, Lucia;
2014-01-01

Abstract

We study a mixed formulation for elliptic interface problems which has been recently introduced when dealing with a test problem arising from fluid–structure interaction applications. The formulation, which involves a Lagrange multiplier defined in the solid domain, can be approximated by standard finite elements on meshes which do not need to fit with the interface. In this paper we discuss a modification of the original formulation involving a different approach for the analysis and the numerical implementation of the Lagrange multiplier. New two-dimensional numerical results confirm the good performances of the proposed schemes.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/432507
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