Author： Nakao M.T. Yamamoto N. de Boor S.C.
Publisher： Academic Press
ISSN： 0021-9045
Source： Journal of Approximation Theory, Vol.93, Iss.3, 1998-06, pp. : 491-500
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Abstract
Explicit a priori error bounds for the approximation by the H10-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. Copyright 1998 Academic Press.
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