This paper presents a theoretical and numerical study of a class of discontinuous Galerkin methods that shows the approximation of the gradient superconverges at the zeros of the Legendre polynomials on a model 1D elliptic problem. Numerical experiments validate the theoretical results.
β¦ LIBER β¦
Discontinuous Galerkin Methods Applied to Shock and Blast Problems
β Scribed by N. Chevaugeon; J. Xin; P. Hu; X. Li; D. Cler; J.E. Flaherty; M.S. Shephard
- Book ID
- 106421162
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 612 KB
- Volume
- 22-23
- Category
- Article
- ISSN
- 0885-7474
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## Abstract In this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods. Numerical
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