A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
Two results on convergence uniform in the singular perturbation parameter are given for a singularly perturbed linear elliptic boundary value problem in two dimensions. Their error bounds are of order (i) \((\ln N/N)\) in a global energy norm and (ii) \((\ln N)^{3/2}/\sqrt N\) pointwise near the outflow boundary.
scientific article; zbMATH DE number 1115500
scientific article