We consider the Discontinuous Petrov–Galerkin method for the advection–diffusion model problem, and we investigate the application of the variational multiscale method to this formulation. We show the exact modeling of the fine scale modes at the element level for the linear case, and we discuss the approximate modeling both in the linear and in the non-linear cases. Furthermore, we highlight the existing link between this multiscale formulation and the p-version of the finite element method. Numerical examples illustrate the behavior of the proposed scheme.

A Multiscale Formulation of the Discontinuous Petrov-Galerkin Method for Advective-Diffusive Problems

BOTTASSO, CARLO LUIGI;MICHELETTI, STEFANO;SACCO, RICCARDO
2005-01-01

Abstract

We consider the Discontinuous Petrov–Galerkin method for the advection–diffusion model problem, and we investigate the application of the variational multiscale method to this formulation. We show the exact modeling of the fine scale modes at the element level for the linear case, and we discuss the approximate modeling both in the linear and in the non-linear cases. Furthermore, we highlight the existing link between this multiscale formulation and the p-version of the finite element method. Numerical examples illustrate the behavior of the proposed scheme.
File in questo prodotto:
File Dimensione Formato  
CMAME_multiscale.pdf

Accesso riservato

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 470.06 kB
Formato Adobe PDF
470.06 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/554907
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 13
social impact