(1) Computational Mechanics Group, Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, 3200 Haifa, Israel;(2) Computer Science Department, Technion-Israel Institute of Technology, 32000 Haifa, Israel
Abstract:
Summary A scheme that uses singular perturbation theory to improve the performance of existing finite element methods is presented. The proposed scheme improves the error bounds of the standard Galerkin finite element scheme by a factor of O(n+1) (where is the small parameter andn is the order of the asymptotic approximation). Numerical results for linear second order O.D.E.'s are given and are compared with several other schemes.