Finite element approximation of complex functions for spatial optimization and search
✍ Scribed by Löhner, Rainald ;Togashi, Fumiya ;Baum, Joseph D.
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 367 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.856
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Some elements commonly used for analysis are examined for completeness of polynomial interpolation and computational efficiency. Extensions to n-dimensional space are shown to be natural consequences of the interpolation, thus all elements considered here allow for finite element approximation in hi
For a general approximation process we formulate theorems concerning rates of convergence, including theorems about saturation class, non-optimal rates, and sharpness of non-optimal convergence. The general results are then applied to n-times integrated semigroups and cosine functions, yielding some