ISSN:
0945-3245
Keywords:
AMS (MOS): 41 A 25
;
CR: 5.13
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Description / Table of Contents:
Résumé Soientu∈W k+1,p (Ω),k+1−n/p〉0, Ω ouert ≪régulier≫ de ℝ n admettant une triangulationC et πu une interpolation deu sur Ω par la méthode des éléments finis telle que: $$\left\| {u - \pi u} \right\|_{m,p,\Omega } \leqq C_m h^{k + 1 - m} \left| u \right|_{k + 1,p,\Omega } ,0 \leqq m \leqq k + 1(cf.[3]).$$ En utilisant la théorie des noyaux d'espaces de Banach on fournit des explicitations précises deC m qui permettent d'évaluer cette constante.
Notes:
Summary Let us suppose that Ω is an open “regular” subset ℝ n which canbe triangulated by finite elements. Letu be an element of the Sobolev spaceW k+1,p (Ω),k+1−n/p〉0 and πu an interpolant ofu such that ∥u−π∥ m, p, Ω , ≦C m h k+1-m |u| k+1,p,Ω , 0≦m≦k+1 (cf. [3]). Using the theory of Kernels of Banach spaces we show thatC m can be exactly evaluated.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01389970
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