In this paper, we propose a new discontinuous finite element method to solve initial value problems for ordinary differential equations and prove that the finite element solution exhibits an optimal O(Dt p+1 ) convergence rate in the L 2 norm. We further show that the p-degree discontinuous solution
Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives
β Scribed by Jue Yan; Chi-Wang Shu
- Book ID
- 110333863
- Publisher
- Springer US
- Year
- 2002
- Tongue
- English
- Weight
- 139 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0885-7474
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π SIMILAR VOLUMES
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed sel
## Abstract This paper reports on an experimental study of the effectiveness of high order numerical methods applied to linear elliptic partial differential equations whose solutions have singularities or similar difficulties (e.g. boundary layers, sharp peaks). Three specific hypotheses are establ
In this paper we design higher-order time integrators for systems of stiff ordinary differential equations. We combine implicit Runge-Kutta and BDF methods with iterative operator-splitting methods to obtain higher-order methods. The idea of decoupling each complicated operator in simpler operators