hp-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems
β Scribed by Thirupathi Gudi; Neela Nataraj; Amiya K. Pani
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 449 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
## 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
Let R be a bounded domain in W" (n > 3) having a smooth boundary, let cp be an essentially bounded real-valued function defined on R x We, and let 1c, be a continuous realvalued function defined on a given subset Y of We. In this paper, the existence of strong solutions u E W'J'(R,EX~) n W,:Pp(R,~h)