A local projection stabilization of fictitious domain method for elliptic boundary value problemsApplied Numerical Mathematics (2014)
AbstractIn 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.
Citation InformationSabeur Amdouni, Maher Moakher and Yves Renard. "A local projection stabilization of fictitious domain method for elliptic boundary value problems" Applied Numerical Mathematics Vol. 76 (2014)
Available at: http://works.bepress.com/maher_moakher/6/