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Department of Engineering and Applied Sciences

Workshop Discontinuous Galerkin Methods

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Discontinuous Galerkin Methods

From Theoretical Development to Industrial Applications

Discontinuous Galerkin (DG) methods belong to a class of finite elements methods which use completely discontinuous trial and test functions. Thanks to their flexibility, DG methods are currently receiving increasing attention by researchers in a wide variety of areas of practical interest such as fluid dynamics, structural mechanics, electromagnetism, among many others. A wide community is active on both theoretical and numerical development of DG methods for various types of partial differential equations, including hyperbolic, parabolic and elliptic equations, and applications range from purely academic to industrial problems. The aim of this one-day workshop was to offer an informal opportunity of encounter to both engineers and mathematicians who work on development and application of DG methods. The workshop included lectures by some of the most prominent scientists in the field and short contribution sessions open to the participants.

The workshop took place on the 24th of February, 2006, at the University of Bergamo, via Salvecchio 19.

Send any comments or questions about this document to: andrea.crivellini@unibg.it

Donatella Marini (UniversitÓ degli studi di Pavia)
DG-stabilizations and applications to Darcy flows [Full Text PDF (188 KB)]
Paola Antonietti (UniversitÓ degli studi di Pavia)
Additive and multiplicative Schwarz preconditioners for Discontinuous Galerkin approximations of elliptic problems [Full Text PDF (600 KB)]
Marco Restelli (Politecnico di Milano)
Coupling semi-Lagrangian and Discontinuous Galerkin approaches for the solution of the advection equation in air quality applications [Full Text PDF (984 KB)]
Erik Burman (EPF Lausanne)
Interior penalty stabilisation using gradient jumps for continuous and discontinuous finite element Galerkin approximations [Full Text PDF (1.3 MB)]
Benjamin Stamm (EPF Lausanne)
Discontinuous finite element methods with interior penalty for diffusion-advection-reaction equation [Full Text PPT as ZIP (2.8 MB)]
Riccardo Sacco (Politecnico di Milano)
Hybridization of Galerkin and Petrov Galerkin mixed finite element methods for second order elliptic problems [Full Text PDF (346 KB)]
Alexandre Ern (ENPC Paris)
Discontinuous Galerkin methods for Friedrichs' systems [Full Text PDF (1.4 MB)]
Stefano Rebay (UniversitÓ degli studi di Brescia)
A parallel high-order discontinuous Galerkin solver applied to complex three dimensional turbulent flows [Full Text PDF (10.1 MB)]
Michael Dumbser (Universitńt Stuttgart)
Applications of arbitrary high order Discontinuous Galerkin schemes [Full Text PPT as ZIP (17.5 MB)]
Francesco Bassi (UniversitÓ degli studi di Bergamo)
Discontinuous Galerkin solution of incompressible flows [Full Text PDF and AVI as ZIP (11.7 MB)]
Daniele Di Pietro (ENPC Paris)
Analysis of an artificial compressibility DG flux for the Stokes problem [Full Text PDF (494 KB)]
Andrea Crivellini (UniversitÓ degli studi di Bergamo)
High-order Discontinuous Galerkin calculation of natural convection problems [Full Text PDF and AVI as ZIP (10.7 MB)]

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