Abstract
In this paper, we investigate adaptive streamline upwind/Petrov Galerkin (SUPG) methods for second order convection-diffusion-reaction equations with singular perturbation in a new dual norm presented in [17]. The flux can be recovered in two different manners: local averaging in conforming H(div) spaces, and weighted global L2 projection onto conforming H(div) spaces. We further propose a recovery stabilization procedure, and provide completely robust a posteriori error estimators with respect to the singular perturbation parameter ε. Numerical experiments are provided to confirm theoretical results and to show that the estimated errors depend on the degrees of freedom uniformly in the diffusion parameter ε.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
