On the Best Constant in the Error Bound
✍
Mitsuhiro T. Nakao; Nobito Yamamoto; Seiji Kimura
📂
Article
📅
1998
🏛
Elsevier Science
🌐
English
⚖ 195 KB
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