EFFICIENT GENERATION OF ORIENTED MESHES FOR SOLVING CONVECTION–DIFFUSION PROBLEMS

✍ Scribed by NEIL MADDEN; MARTIN STYNES

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 287 KB
• Volume: 40
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19970215)40:3<565::aid-nme80>3.0.co;2-7

✦ Synopsis

A description of Shishkin meshes for resolving boundary and interior layers is given. It is shown how PLTMG can be used to construct these special oriented meshes with minimal e ort. Several types of singularly perturbed convection-di usion problems are solved on the meshes. These solutions are compared with those obtained on uniform meshes and on meshes adaptively reÿned by PLTMG; it is seen that Shishkin meshes yield much more accurate solutions with little additional computational e ort.