Academic
Publications
Continuous interior penalty method on a Shishkin mesh for convection–diffusion problems with characteristic boundary layers

Continuous interior penalty method on a Shishkin mesh for convection–diffusion problems with characteristic boundary layers,10.1016/j.cma.2008.02.019,

Continuous interior penalty method on a Shishkin mesh for convection–diffusion problems with characteristic boundary layers   (Citations: 7)
BibTex | RIS | RefWorks Download
The continuous interior penalty (CIP) method for elliptic convection–diffusion problems with characteristic layers on a Shishkin mesh is analysed. The method penalises jumps of the normal derivative across interior edges. We show that it is of the same order of convergence as the streamline diffusion finite-element method and is superclose in the CIP norm induced by its bilinear form for the difference between the FEM solution and the bilinear nodal interpolant of the exact solution. Furthermore, we study numerically the behaviour of the method for different choices of the stabilisation parameter.
Cumulative Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
Sort by: