Stabilized Finite Element Methods

Presenter: A.C. Bauer
Rensselaer Polytechinic Institute

Authors: K.E. Jansen, A.C. Bauer, and M.S. Shephard

While stabilized finite element methods are in their third decade of development, they continue to be a lively research topic. Starting with the Streamline Petrov Galerkin Method (SUPG), whose name reflects the somewhat heuristic construction, the methods evolved and morphed through improved analysis to become the underpinnings of more recent efforts in multiscale analysis and error estimation/indication. In the process, the stabilization became more general as well. In this poster and supporting paper we will present a generalized framework for stabilized finite element methods and provide examples of specific applications.