By Carl De Boor
ISBN-10: 0122083504
ISBN-13: 9780122083501
Read Online or Download Mathematical Aspects of Finite Elements in Partial Differential Equations. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, April 1–3, 1974 PDF
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Extra resources for Mathematical Aspects of Finite Elements in Partial Differential Equations. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, April 1–3, 1974
Example text
NITSCHE Definition: 6 is of approximation class (k, r) tively (k, r)w aW, if respec- (j) Sh C W2 (W) for S h e 6, respectively also S h C W2(8W) . } . (2) Definition: (s, k)W,a W , if is of inverse class ( s, k )W , respectively S h C W2(W) respectively also (j ) S h C WZ (8W) for Sh E 6 . (ii ) For e Sh c hs II C 1I k (3) c k and 0< k< k fir II c I1 s 0 < s < Min(k, s ) respectively c (4) Definition: k + c k 11) L( R i v, c) = L(v, c) for all x€ S h . 6), this projection satisfies (cf. g. 13) 1(1-R 1)v I < Ch M IniM) I where lvi = sup Iv(x) I. 0 Then r-2 g h(u) < c{h (19) +h d h (u)