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hp-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems

✍ 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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πŸ“œ SIMILAR VOLUMES


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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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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)