Hermite interpolation of nonsmooth functions preserving boundary conditions
نویسندگان
چکیده
منابع مشابه
Hermite interpolation of nonsmooth functions preserving boundary conditions
This article is devoted to the construction of a Hermite-type regularization operator transforming functions that are not necessarily C1 into globally C1 finite-element functions that are piecewise polynomials. This regularization operator is a projection, it preserves appropriate first and second order polynomial traces, and it has approximation properties of optimal order. As an illustration,...
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Article history: Received 2 October 2014 Available online 13 January 2015 Submitted by B. Kaltenbacher
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In this paper, we propose a modified Lagrange type interpolation operator to approximate functions in Sobolev spaces by continuous piecewise polynomials. In order to define interpolators for "rough" functions and to preserve piecewise polynomial boundary conditions, the approximated functions are averaged appropriately either on dor (d 1 )-simplices to generate nodal values for the interpolatio...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2002
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-02-01446-1