Titolo
Stability Properties of Discontinuous Galerkin Methods for Two-Dimensional Elliptic Problems
Periodico
Università degli Studi del Piemonte Orientale 'A. Avogadro' : Facoltà di Economia - Dipartimento di Scienze Economiche e Metodi Quantitativi "SEMEQ" - Quaderni
Anno: 2007 - Volume: 07 - Fascicolo: 15 - Pagina iniziale: 1 - Pagina finale: 34

We address the problem of finding the necessary stabilization for a class of Discontinuous Galerkin methods in mixed form for the two-dimensional case. In particular, we present a new stabilized formulation of the (unstable) Bassi-Rebay method and a new formulation of the Local Discontinuous Galerkin(LDG) method. The stability properties of the new formulations are studied and error estimates are derived. The theoretical results are validated in a series of numerical tests.



Testo completo: http://semeq.unipmn.it/files/quaderno.marazzina-completo%20n.15-07.pdf

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