Name
Title | ||
|---|---|---|
Analysis of a Multiscale Discontinuous Galerkin Method for Convection-Diffusion Problems |
Abstract | ||
|---|---|---|
We study a multiscale discontinuous Galerkin method introduced in [T. J. R. Hughes, G. Scovazzi, P. Bochev, and A. Buffa, Comput. Meth. Appl. Mech. Engrg., 195 (2006), pp. 2761-2787] that reduces the computational complexity of the discontinuous Galerkin method, seemingly without adversely affecting the quality of results. For a stabilized variant we are able to obtain the same error estimates for the convection-diffusion equation as for the usual discontinuous Galerkin method. We assess the stability of the unstabilized case numerically and find that the inf-sup constant is positive, bounded uniformly away from zero, and very similar to that for the usual discontinuous Galerkin method. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/050640382 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
unstabilized case,error estimate,convection-diffusion problems,multiscale,multiscale discontinuous galerkin method,g. scovazzi,discontinuous galerkin method,p. bochev,t. j. r,advection-diffusion.,convection-diffusion equation,computational complexity,discontinuous galerkin,usual discontinuous galerkin method,convection diffusion | Discontinuous Galerkin method,Convection–diffusion equation,Mathematical optimization,Mathematical analysis,Galerkin method,Numerical analysis,Diffusion equation,Numerical stability,Mathematics,Computational complexity theory,Bounded function | Journal |
Volume | Issue | ISSN |
44 | 4 | 0036-1429 |
Citations | PageRank | References |
12 | 2.68 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Buffa | 1 | 360 | 27.78 |
| T. J. R. Hughes | 2 | 12 | 2.68 |
| G. Sangalli | 3 | 115 | 16.54 |