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Zur L∞-Konvergenz linearer finiter Elemente beim Dirichlet-Problem (1976)

Rannacher, Rolf

Springer

Mathematische Zeitschrift 149 (1976), S. 69-77

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ISSN: 1432-1823

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary For piecewise linear Ritz approximation of second order elliptic Dirichlet problemsAu=f over domainsΩ⊂ℝ n globalL ∞ error boundsO(h 2|lnh|v) are obtained under the assumptionfεL ∞(Ω). The proof rests on interpolation ofH 2(Ω)-functions with second derivatives in the space of John and Nirenberg by piecewise linear splines and a technique of Nitsche [7] using weighted Sobolev norms.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01301633

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