On planar harmonic grid generation

✍ Scribed by Reijo Lehtimäki

• Book ID: 101272661
• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 411 KB
• Volume: 15
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/(sici)1098-2426(199905)15:3<305::aid-num3>3.0.co;2-3

✦ Synopsis

It has been shown that the harmonic map is a diffeomorphism. In some cases, numerical solutions to the equation have been noticed to produce folded grids, however. The folding of the grid is due to truncation error and not an incorrect theorem as has been suggested earlier. Difference approximations are constructed that solve the problem. The difference approximations can be of low order, which shows that the order of the difference approximations is not the key factor.