An improved a posteriori error estimate for the Galerkin spectral method in one dimension
β Scribed by Jianwei Zhou; Danping Yang
- Book ID
- 108078653
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 268 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
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
## Abstract We present __a priori__ and __a posteriori__ estimates for the error between the Galerkin and a discretized Galerkin method for the boundary integral equation for the single layer potential on the square plate. Using piecewise constant finite elements on a rectangular mesh we study the