A local projection stabilized method for fictitious domains

Barrenechea, Gabriel R. and Chouly, Franz (2012) A local projection stabilized method for fictitious domains. Applied Mathematics Letters, 25 (12). pp. 2071-2076. ISSN 0893-9659

[img]
Preview
Text (Barrenechea-Chouly-AML-2012-A-local-projection-stabilized-method-for-fictitious-domains)
Barrenechea_Chouly_AML_2012_A_local_projection_stabilized_method_for_fictitious_domains.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo

Download (301kB)| Preview

    Abstract

    In this work a local projection stabilization method is proposed for solving a fictitious domain problem. The method adds a suitable fluctuation term to the formulation, thus yielding the natural space for the Lagrange multiplier stable. Stability and convergence are proved and these results are illustrated with a numerical experiment.