TY - JOUR
T1 - A finite element approach for the immersed boundary method
AU - Boffi, Daniele
AU - Gastaldi, Lucia
N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05
PY - 2003/5/1
Y1 - 2003/5/1
N2 - We consider a modification of the immersed boundary method which makes use of a finite element spatial discretization. We describe the method for a two-dimensional model problem and justify its variational formulation. We provide a preliminary analysis of the continuous problem in a one-dimensional setting using a fixed point theorem and a compactness argument. Finally, we report on some numerical tests which demonstrate the stability and robustness of the algorithm. © 2003 Elsevier Science Ltd. All rights reserved.
AB - We consider a modification of the immersed boundary method which makes use of a finite element spatial discretization. We describe the method for a two-dimensional model problem and justify its variational formulation. We provide a preliminary analysis of the continuous problem in a one-dimensional setting using a fixed point theorem and a compactness argument. Finally, we report on some numerical tests which demonstrate the stability and robustness of the algorithm. © 2003 Elsevier Science Ltd. All rights reserved.
UR - https://linkinghub.elsevier.com/retrieve/pii/S0045794902004042
UR - http://www.scopus.com/inward/record.url?scp=0037401891&partnerID=8YFLogxK
U2 - 10.1016/S0045-7949(02)00404-2
DO - 10.1016/S0045-7949(02)00404-2
M3 - Article
SN - 0045-7949
VL - 81
SP - 491
EP - 501
JO - Computers and Structures
JF - Computers and Structures
IS - 8-11
ER -