A local projection stabilization of fictitious domain method for elliptic boundary value problems

In this paper, a new consistent method based on local projections for the stabilization of a Dirichlet condition is presented in the framework of finite element method with a fictitious domain approach. The presentation is made on the Poisson problem but the theoretical and numerical results can be...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied numerical mathematics Jg. 76; S. 60 - 75
Hauptverfasser: Amdouni, S., Moakher, M., Renard, Y.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.02.2014
Elsevier
Schlagworte:
Boundary value problems
Dirichlet problem
Fictitious domain method
Finite element method
Local projection stabilization method
Mathematical analysis
Mathematical models
Mathematics
Multipliers
Numerical Analysis
Poisson problem
Projection
Stabilization
X-FEM
Fictitious domain method
X-FEM
Poisson problem
Local projection stabilization method
finite element method
fictitious domain method
Xfem
ISSN:0168-9274, 1873-5460
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, a new consistent method based on local projections for the stabilization of a Dirichlet condition is presented in the framework of finite element method with a fictitious domain approach. The presentation is made on the Poisson problem but the theoretical and numerical results can be straightforwardly extended to any elliptic boundary value problem. A numerical comparison is performed with the Barbosa–Hughes stabilization technique. The advantage of the new stabilization technique is to affect only the equation on multipliers and thus to be equation independent.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2013.10.002