## 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
Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
β Scribed by Wang, Fei; Han, Weimin; Cheng, Xiao-liang
- Book ID
- 118182007
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2010
- Tongue
- English
- Weight
- 328 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0036-1429
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We develop the error analysis for the __h__βversion of the discontinuous Galerkin finite element discretization for variational inequalities of first and second kinds. We establish an a priori error estimate for the method which is of optimal order in a mesh dependant as well as __L__^2
In this paper, we propose two methods for solving variational inequalities. In the first method, we modified the extragradient method by using a new step size while the second method can be viewed as an extension of the first one by performing an additional projection step at each iteration and anot