𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Hybridizable and Superconvergent Discontinuous Galerkin Method for

✍ Scribed by Bernardo Cockburn; Bo Dong; Johnny Guzmán

Publisher
Springer US
Year
2009
Tongue
English
Weight
861 KB
Volume
40
Category
Article
ISSN
0885-7474

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Superconvergence of discontinuous Galerk
Superconvergence of discontinuous Galerkin methods for hyperbolic systems
✍ Tie Zhang; Jiandong Li; Shuhua Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 660 KB

In this paper, the discontinuous Galerkin method for the positive and symmetric, linear hyperbolic systems is constructed and analyzed by using bilinear finite elements on a rectangular domain, and an O(h 2 )-order superconvergence error estimate is established under the conditions of almost uniform

A superconvergence result for discontinu
A superconvergence result for discontinuous Galerkin methods applied to elliptic problems
✍ Paul Castillo 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 153 KB

This paper presents a theoretical and numerical study of a class of discontinuous Galerkin methods that shows the approximation of the gradient superconverges at the zeros of the Legendre polynomials on a model 1D elliptic problem. Numerical experiments validate the theoretical results.

An implicit high-order hybridizable disc
An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection–diffusion equations
✍ N.C. Nguyen; J. Peraire; B. Cockburn 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 721 KB

In this paper, we present hybridizable discontinuous Galerkin methods for the numerical solution of steady and time-dependent nonlinear convection-diffusion equations. The methods are devised by expressing the approximate scalar variable and corresponding flux in terms of an approximate trace of the