Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems
✍ Scribed by Ortner, Christoph; Süli, Endre
- Book ID
- 118190128
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2007
- Tongue
- English
- Weight
- 316 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0036-1429
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📜 SIMILAR VOLUMES
## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second‐order linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^‐ norms are derived. Numerical results
## Abstract This paper deals with the finite element displacement method for approximating isolated solutions of general quasilinear elliptic systems. Under minimal assumptions on the structure of the continuous problems it is shown that the discrete analogues also have locally unique solutions whi