Name
Title | ||
|---|---|---|
Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations. |
Abstract | ||
|---|---|---|
In this paper we present Fourier type error analysis on the recent four discontinuous Galerkin methods for diffusion equations, namely the direct discontinuous Galerkin (DDG) method (Liu and Yan in SIAM J. Numer. Anal. 47(1):475-698, 2009); the DDG method with interface corrections (Liu and Yan in Commun. Comput. Phys. 8(3):541-564, 2010); and the DDG method with symmetric structure (Vidden and Yan in SIAM J. Numer. Anal., 2011); and a DG method with nonsymmetric structure (Yan, A discontinuous Galerkin method for nonlinear diffusion problems with nonsymmetric structure, 2011). The Fourier type L 2 error analysis demonstrates the optimal convergence of the four DG methods with suitable numerical fluxes. The theoretical predicted errors agree well with the numerical results. © Springer Science+Business Media, LLC 2011. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s10915-011-9564-5 | J. Sci. Comput. |
Keywords | Field | DocType |
consistency,convergence,diffusion equation,discontinuous galerkin method,stability,supraconvergence | Discontinuous Galerkin method,Convergence (routing),Mathematical optimization,Mathematical analysis,Nonlinear diffusion,Fourier transform,Diffusion equation,Mathematics,Symmetric structure | Journal |
Volume | Issue | ISSN |
52 | 3 | 1573-7691 |
Citations | PageRank | References |
4 | 0.45 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mengping Zhang | 1 | 121 | 14.66 |
| Jue Yan | 2 | 198 | 24.23 |