Jacobi spectral Galerkin method for elliptic Neumann problems
β Scribed by E. H. Doha; A. H. Bhrawy; W. M. Abd-Elhameed
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 444 KB
- Volume
- 50
- Category
- Article
- ISSN
- 1017-1398
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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
We propose a novel discontinuous mixed finite element formulation for the solution of second-order elliptic problems. Fully discontinuous piecewise polynomial finite element spaces are used for the trial and test functions. The discontinuous nature of the test functions at the element interfaces all