Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems
β Scribed by E. Burman; B. Stamm
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 715 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0885-7474
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π 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 secondβorder linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^β norms are derived. Numerical results
## Abstract A new finite element method is proposed and analysed for second order elliptic equations using discontinuous piecewise polynomials on a finite element partition consisting of general polygons. The new method is based on a stabilization of the wellβknown primal hybrid formulation by usin
In this paper, the discontinuous Galerkin method for the positive and symmetric, linear hyperbolic systems is constructed and analyzed by using bilinear finite elements on a rectangular domain, and an O(h 2 )-order superconvergence error estimate is established under the conditions of almost uniform