Publications [#383799] of Guglielmo Scovazzi

Papers Published

1. Bochev, P; Hughes, TJR; Scovazzi, G, A multiscale discontinuous Galerkin method, Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics, vol. 3743 LNCS (June, 2006), pp. 84-93 [doi]
   (last updated on 2026/01/19)

   Abstract:
   We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components, Variational multiscale analysis is used to define an interscale transfer operator that associates coarse and fine scale functions. Composition of this operator with a donor DG method yields a new formulation that combines the advantages of DG methods with the attractive and more efficient computational structure of a continuous Galerkin method. The new class of DG methods is illustrated for a scalar advection-diffusion problem. © Springer-Verlag Berlin Heidelberg 2006.