Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 233-242 |
| Number of pages | 10 |
| Journal | Applied Numerical Mathematics |
| Volume | 120 |
| DOIs | |
| State | Published - Oct 2017 |
| Externally published | Yes |
Bibliographical note
Funding Information:Research of this author is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under grant 174030.
Publisher Copyright:
© 2017 IMACS
Keywords
- Exponentially graded mesh
- Galerkin finite element method
- Singularly perturbed problem
- Two small parameters
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