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The sdfem on Shishkin meshes for linear convection-diffusion problems

✍ Scribed by Torsten Linß; Martin Stynes

Book ID
105743950
Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
264 KB
Volume
87
Category
Article
ISSN
0029-599X

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📜 SIMILAR VOLUMES

Numerical methods on Shishkin meshes for
Numerical methods on Shishkin meshes for linear convection–diffusion problems
✍ Torsten Linß; Martin Stynes 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 803 KB

On the unit square, we consider a model singularly perturbed convection±diusion problem whose solution contains exponential boundary and corner layers. Shishkin meshes are frequently used to solve such problems numerically. We compare and evaluate the performance of several numerical methods on thes

An upwind difference scheme on a novel S
An upwind difference scheme on a novel Shishkin-type mesh for a linear convection–diffusion problem
✍ Torsten Linß 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 110 KB

We consider an upwind ÿnite di erence scheme on a novel layer-adapted mesh (a modiÿcation of Shishkin's piecewise uniform mesh) for a model singularly perturbed convection-di usion problem in two dimensions. We prove that the upwind scheme on the modiÿed Shishkin mesh is ÿrst-order convergent in the