A one-dimensional singularly perturbed boundary value problem with two small perturbation parameters is numerically solved on an exponentially graded mesh. Using an h-version of the standard Galerkin method with higher order polynomials, we prove a robust convergence in the corresponding energy norm. Numerical experiments support theoretical findings.
Bibliographical noteFunding Information:
Research of this author is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under grant 174030.
© 2017 IMACS
- Exponentially graded mesh
- Galerkin finite element method
- Singularly perturbed problem
- Two small parameters