𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations

✍ Scribed by Xu, Yan; Shu, Chi-Wang

Book ID
118182685
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
295 KB
Volume
50
Category
Article
ISSN
0036-1429

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

An optimal-order -error estimate for non
An optimal-order -error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions
✍ Kaixin Wang; Hong Wang; Shuyu Sun; Mary F. Wheeler πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 251 KB

We analyze the nonsymmetric discontinuous Galerkin methods (NIPG and IIPG) for linear elliptic and parabolic equations with a spatially varied coefficient in multiple spatial dimensions. We consider d-linear approximation spaces on a uniform rectangular mesh, but our results can be extended to smoot

Error estimates of the semi-discrete loc
Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection–diffusion and KdV equations
✍ Yan Xu; Chi-Wang Shu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 364 KB

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