✦ LIBER ✦
On the Best Constant in the Error Bound for theH10-Projection into Piecewise Polynomial Spaces
✍ Scribed by Mitsuhiro T. Nakao; Nobito Yamamoto; Seiji Kimura
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 195 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
✦ Synopsis
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 the numerical verification method of finite element solutions for nonlinear elliptic equations. 1998 Academic Press S 2, N (I) :=[ p # C(I) | p is a polynomial of degree N+1 on each subinterval [x i&1 , x i ], 1 i m, with p(0)= p(1)=0].
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Article No. AT983172 491