Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645178 | Applied Numerical Mathematics | 2014 | 12 Pages |
Abstract
In this paper, we propose and analyze a higher order continuous/discontinuous Galerkin methods for solving singularly perturbed convection-diffusion problems. Based on piecewise polynomial approximations of degree k⩾1k⩾1, a uniform convergence rate O(N−klnkN) in associated norm is established on Shishkin mesh, where N is the number of elements. Numerical experiments complement the theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Peng Zhu, Shenglan Xie,