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Error estimates for a fully discrete $\varepsilon$-uniform finite element method on quasi uniform meshes
Hacettepe Journal of Mathematics and Statistics
In this article, we analyze a fully discrete ε−uniformly convergent finite element method for singularly perturbed convection-diffusion-reaction boundary-value problems, on piecewiseuniform meshes. Here, we choose L−splines as basis functions. We will concentrate on the convergence analysis of the finite element method which employ the discrete L−spline basis functions instead of their continuous counterparts. The L−splines are approximated on the piecewise-uniform Shishkin mesh inside eachdoi:10.15672/hujms.691017 fatcat:y3ul4xp44nharewhfhhx5xvw7i