Abstract

In this work we propose a stabilized finite element method that permits us to circumvent discrete inf–sup conditions, e.g. allowing equal order interpolation. The type of method we propose belongs to the family of symmetric stabilization techniques, which are based on the introduction of additional terms that penalize the difference between some quantities, i.e. the pressure gradient in the Stokes problem, and their finite element projections. The key feature of the formulation we propose is the definition of the projection to be used, a non-standard Scott–Zhang projector that is well-defined for functions. The resulting method has some appealing features: the projector is local and nested meshes or enriched spaces are not required.

Full Document

The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document
Back to Top

Document information

Published on 01/01/2012

DOI: 10.1016/j.cma.2012.07.020
Licence: CC BY-NC-SA license

Document Score

0

Views 0
Recommendations 0

Share this document

claim authorship

Are you one of the authors of this document?