Explicit a priori error bounds for the approximation by the H1 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.
|ジャーナル||Journal of Approximation Theory|
|出版物ステータス||Published - 1998|
ASJC Scopus subject areas
- Numerical Analysis
- Applied Mathematics