𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A posteriori error estimates for FEM with violated Galerkin orthogonality

✍ Scribed by Lutz Angermann


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
530 KB
Volume
18
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Energy norm a posteriori error estimatio
✍ Roland Becker; Peter Hansbo; Mats G. Larson πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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

Functional a posteriori error estimates
✍ Raytcho Lazarov; Sergey Repin; Satyendra K. Tomar πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 261 KB

## Abstract In this article, we develop functional a posteriori error estimates for discontinuous Galerkin (DG) approximations of elliptic boundary‐value problems. These estimates are based on a certain projection of DG approximations to the respective energy space and functional a posteriori estim

A posteriori error estimation for a new
✍ A. Romkes; S. Prudhomme; J.T. Oden πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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

A posteriori error estimation for discon
✍ Slimane Adjerid; Karen D. Devine; Joseph E. Flaherty; Lilia Krivodonova πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 510 KB

We analyze the spatial discretization errors associated with solutions of one-dimensional hyperbolic conservation laws by discontinuous Galerkin methods (DGMs) in space. We show that the leading term of the spatial discretization error with piecewise polynomial approximations of degree p is proporti

A 3D posteriori error estimator for FEM
✍ Tahar Ezzedine; Ammar B. Kouki; Ammar Bouallegue πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 127 KB πŸ‘ 1 views

## Abstract We introduce a new method for computing a __posteriori__ error estimator suitable for the finite‐element solution of 3D electromagnetic problems. We take into account both the error due to discontinuity on the elements' faces as well as the volumetric error. We demonstrate the efficienc