Numerical studies of optimal grid construction

✍ Scribed by T.-F. Chen; G. J. Fix; H. D. Yang

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 578 KB
• Volume: 12
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/(sici)1098-2426(199603)12:2<191::aid-num3>3.0.co;2-l

✦ Synopsis

This article is concerned with the cbnstruction of optimal grids for convection dominated problems. We consider the redistribution approach to generate the optimal grids. With an optimal grid, the number of unknowns can be dramatically reduced and this generally gives a computationally efficient model. Both Galerkin finite-element and least-squares finite-element approximations are considered with mesh redistribution. Numerical results of models problems illustrating the efficiency of the minimum mesh size approach are presented. Discussions of the capabilities and limitations of the schemes are also provided.