Abstract. We consider piecewise polynomial finite elements method for a singular perturbation problem. The finite elements method of Griffiths for a problem with non-constant coefficients was adapted by introducing piecewise polynomial approximation. We generate the tridiagonal difference schemes which are second order accurate in uniform norm.
2000 Mathematics Subject Classification. 65L10.
Key words and phrases. Petrov Galerkin method of finite elements, singularly perturbed problem, uniform convergence.