𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes

✍ Scribed by Ali R. Ansari; Alan F. Hegarty

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
279 KB
Volume
192
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

Non-monotone methods with Shishkin meshes are employed in obtaining finite difference schemes for solving a linear two-dimensional steady state convection-diffusion problem. Preconditioners are used that significantly reduce the number of iterations of the linear solver. Computational results for a Galerkin method are presented which indicate parameter robust, super-linear orders of convergence.

📜 SIMILAR VOLUMES

Uniform approximation of singularly pert
Uniform approximation of singularly perturbed reaction-diffusion problems by the finite element method on a Shishkin mesh
✍ Christos Xenophontos; Scott R. Fulton 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 678 KB

## Abstract We consider the numerical approximation of singularly perturbed reaction‐diffusion problems over two‐dimensional domains with smooth boundary. Using the __h__ version of the finite element method over appropriately designed __piecewise uniform__ (Shishkin) meshes, we are able to __unifo