Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639543 | Journal of Computational and Applied Mathematics | 2013 | 9 Pages |
Abstract
A singularly perturbed one-dimensional two point boundary value problem of reaction-convection-diffusion type is considered. We generate a C0-collocation-like method by combining Galerkin with an adapted quadrature rule. Using Lobatto quadrature and splines of degree r, we prove on a Shishkin mesh for the qualocation method the same error estimate as for the Galerkin technique. The result is also important for the practical realization of finite element methods on Shishkin meshes using quadrature formulas. We report the results of numerical experiments that support the theoretical findings.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hans-G. Roos, Zorica Uzelac,