Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems

Antti Niemi, Nathan Collier, Victor M. Calo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

Abstract

We revisit the finite element analysis of convection dominated flow problems within the recently developed Discontinuous Petrov-Galerkin (DPG) variational framework. We demonstrate how test function spaces that guarantee numerical stability can be computed automatically with respect to the so called optimal test space norm by using an element subgrid discretization. This should make the DPG method not only stable but also robust, that is, uniformly stable with respect to the Ṕeclet number in the current application. The e_ectiveness of the algorithm is demonstrated on two problems for the linear advection-di_usion equation.
Original languageEnglish (US)
Title of host publicationProcedia Computer Science
PublisherElsevier BV
Pages1862-1869
Number of pages8
DOIs
StatePublished - May 22 2011

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