Optimal test functions for boundary accuracy in discontinuous finite element methods-Reference-Cited by-同舟云学术

Optimal test functions for boundary accuracy in discontinuous finite element methods

Published:2015-10 Issue: Volume:298 Page:360-386
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Kast Steven M.,Dahm Johann P.S.,Fidkowski Krzysztof J.

Funder

Air Force Office of Scientific Research

U.S. Department of Defense

U.S. Department of Energy

National Defense Science and Engineering Graduate

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference39 articles.

1. Streamline upwind/Petrov–Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier–Stokes equations;Brooks;Comput. Methods Appl. Mech. Eng.,1982

2. Stabilized finite element methods: I. Application to the advective–diffusive model;Franca;Comput. Methods Appl. Mech. Eng.,1992

3. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods;Hughes;Comput. Methods Appl. Mech. Eng.,1995

4. Further considerations on residual-free bubbles for advective–diffusive equations;Brezzi;Comput. Methods Appl. Mech. Eng.,1998

5. Stabilization mechanisms in discontinuous Galerkin finite element methods;Brezzi;Comput. Methods Appl. Mech. Eng.,2006

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