Moving mesh partial differential equations (MMPDEs) based upon the equidistribution principle

View/ Open
Issue Date
1994-06-01Author
Huang, Weizhang
Ren, Yuhe
Russell, Robert D.
Publisher
Society for Industrial and Applied Mathematics
Type
Article
Article Version
Scholarly/refereed, publisher version
Metadata
Show full item recordAbstract
This paper considers several moving mesh partial differential equations that are related to the equidistribution principle. Several of these are new, and some correspond to discrete moving mesh equations that have been used by others. Their stability is analyzed and it is seen that a key term for most of these moving mesh PDEs is a source-like term that measures the level of equidistribution. It is shown that under weak assumptions mesh crossing cannot occur for most of them. Finally, numerical experiments for these various moving mesh PDEs are performed to study their relative properties.
Description
This is the published version, also available here: http://dx.doi.org/10.1137/0731038.
Collections
Citation
Huang, Weizhang., Ren, Yuhe., Russell, Robert D., "Moving mesh partial differential equations (MMPDEs) based upon the equidistribution principle." SIAM J. Numer. Anal., 31(3), 709–730. (22 pages). http://dx.doi.org/10.1137/0731038.
Items in KU ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
We want to hear from you! Please share your stories about how Open Access to this item benefits YOU.