A posteriori error estimates for FEM with violated Galerkin orthogonality
β 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.
π SIMILAR VOLUMES
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
## Abstract In this article, we develop functional a posteriori error estimates for discontinuous Galerkin (DG) approximations of elliptic boundaryβvalue problems. These estimates are based on a certain projection of DG approximations to the respective energy space and functional a posteriori estim
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
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
## Abstract We introduce a new method for computing a __posteriori__ error estimator suitable for the finiteβelement 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