Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type
2014
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>=1, a uniform convergence rate O(N^-^kln^kN) in associated norm is established on Shishkin mesh, where N is the number of elements. Numerical experiments complement the theoretical results.
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