TY - JOUR
T1 - Mixed formulation for interface problems with distributed Lagrange multiplier
AU - Boffi, Daniele
AU - Gastaldi, Lucia
AU - Ruggeri, Michele
N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05
PY - 2014/1/1
Y1 - 2014/1/1
N2 - 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.
AB - 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.
UR - https://linkinghub.elsevier.com/retrieve/pii/S0898122114003381
UR - http://www.scopus.com/inward/record.url?scp=84919427266&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2014.07.020
DO - 10.1016/j.camwa.2014.07.020
M3 - Article
SN - 0898-1221
VL - 68
SP - 2151
EP - 2166
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 12
ER -