A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
β Scribed by Karakashian, Ohannes A.; Pascal, Frederic
- Book ID
- 118191173
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2003
- Tongue
- English
- Weight
- 385 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0036-1429
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## 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
for estimating the finite element discretization error to fourth-order elliptic problems. We show how to construct a posteriori error estimates from jumps of the third partial derivatives of the finite element solution when the finite element space consists of piecewise polynomials of odd-degree and