𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods

✍ Scribed by Emmanuel Creusé; Serge Nicaise

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
641 KB
Volume
234
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

We consider some (anisotropic and piecewise constant) diffusion problems in domains of R 2 , approximated by a discontinuous Galerkin method with polynomials of any fixed degree. We propose an a posteriori error estimator based on gradient recovery by averaging. It is shown that this estimator gives rise to an upper bound where the constant is one up to some additional terms that guarantee reliability. The lower bound is also established. Moreover these additional terms are negligible when the recovered gradient is superconvergent. The reliability and efficiency of the proposed estimator is confirmed by some numerical tests.

📜 SIMILAR VOLUMES

Energy norm a posteriori error estimatio
Energy norm a posteriori error estimation for discontinuous Galerkin methods
✍ Roland Becker; Peter Hansbo; Mats G. Larson 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 316 KB

In this paper we present a residual-based a posteriori error estimate of a natural mesh dependent energy norm of the error in a family of discontinuous Galerkin approximations of elliptic problems. The theory is developed for an elliptic model problem in two and three spatial dimensions and general

A posteriori error estimation for a new
A posteriori error estimation for a new stabilized discontinuous Galerkin method
✍ A. Romkes; S. Prudhomme; J.T. Oden 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 413 KB

A posterior% error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [l]. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. Oneand two-dimensiona

Gradient recovery type a posteriori erro
Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
✍ Ningning Yan; Aihui Zhou 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 125 KB

In this paper, the gradient recovery type a posteriori error estimators for ®nite element approximations are proposed for irregular meshes. Both the global and the local a posteriori error estimates are derived. Moreover, it is shown that the a posteriori error estimates is asymptotically exact on w