In this paper, we provide L 2 error estimates for the semi-discrete local discontinuous Galerkin methods for nonlinear convection-diffusion equations and KdV equations with smooth solutions. The main technical difficulty is the control of the inter-element jump terms which arise because of the nonli
โฆ LIBER โฆ
Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations
โ Scribed by Mengping Zhang, Jue Yan
- Book ID
- 113071806
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 588 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0885-7474
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In this paper, the work initiated in part one and two is extended to the transient subgrid scale/gradient subgrid scale (SGS/GSGS) stabilized method. Temporal accuracy and stability of semi-discrete and time-discontinuous space-time versions of the method are examined for transient advection-diffusi