Local projection method for convection-diffusion-reaction problems with projection spaces defined on overlapping sets

• ID: 2466, RIV: 10057252
• ISSN: not specified, ISBN: 978-3-642-11794-7
• source: Numerical Mathematics and Advanced Applications 2009
• keywords: finite element method; convection-diffusion-reaction equation; stabilization; local projection; overlapping; error estimates
• authors: Petr Knobloch
• authors from KNM: Knobloch Petr

Abstract

We extend the local projection finite element method for steady scalar convection-diffusion-reaction equations to local projection spaces defined on overlapping sets. The main result of the paper is an optimal error estimate with respect to the standard local projection norm.