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.

Boffi D., Gastaldi L., Ruggeri M. (2014). Mixed formulation for interface problems with distributed Lagrange multiplier. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 68(12), 2151-2166 [10.1016/j.camwa.2014.07.020].

Mixed formulation for interface problems with distributed Lagrange multiplier

Ruggeri M.
2014

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.
2014
Boffi D., Gastaldi L., Ruggeri M. (2014). Mixed formulation for interface problems with distributed Lagrange multiplier. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 68(12), 2151-2166 [10.1016/j.camwa.2014.07.020].
Boffi D.; Gastaldi L.; Ruggeri M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/944080
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