Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
500042 | Computer Methods in Applied Mechanics and Engineering | 2006 | 13 Pages |
Abstract
We consider a singularly perturbed advection–diffusion two-point boundary value problem whose solution has a single boundary layer. Based on piecewise polynomial approximations of degree k ⩾ 1, a new stabilized finite element method is derived in the framework of a variation multiscale approach. The method coincides with the SUPG method for k = 1 but differs from it for k ⩾ 2. Estimates for the error to an appropriate interpolant are given in several norms on different types of meshes. For k = 1 enhanced accuracy is achieved by superconvergence. Postprocessing guarantees the same estimates for the error to the solution itself.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Lutz Tobiska,