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Discontinuous Galerkin methods (DG) offer several important and valuable computational advantages over their conforming Galerkin counterparts. The finite element spaces in DG methods are not subject to inter-element countinuity conditions and local element spaces can be defind independently from each other. This makes DG methods particularly well-suited for application for first-order differentional operators associated with hyperbolic equations. It is also possible to link DG methods with the numerical fluxes used in finite volume methods.
In paper suggests the variational problem with numerical fluxes determined as F.Brezzi fluxes and I.Babuska fluxes.
Note. Abstracts are published in author's edition
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