A multiscale discontinuous Galerkin method

Published

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Bochev, P; Hughes, TJR; Scovazzi, G

Published Date

  • June 29, 2006

Published In

Volume / Issue

  • 3743 LNCS /

Start / End Page

  • 84 - 93

Electronic International Standard Serial Number (EISSN)

  • 1611-3349

International Standard Serial Number (ISSN)

  • 0302-9743

Digital Object Identifier (DOI)

  • 10.1007/11666806_8

Citation Source

  • Scopus