On best error bounds for approximation by piecewise polynomial functions
โ Scribed by Olof Widlund
- Publisher
- Springer-Verlag
- Year
- 1976
- Tongue
- English
- Weight
- 594 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Explicit a priori error bounds for the approximation by the H 1 0 -projection into piecewise polynomial spaces are given. In particular, for the quadratic approximation, the optimal constant is derived, and a nearly optimal value for the cubic is obtained. These constants play an important role in t
The problem of approximating functions is considered in a general domain in one and two dimensions using piecewise polynomial interpolation. An error estimator is proposed which shows how to adaptively determine the interpolation degree. Numerical examples are given.