Approximation near the boundary of a radial quasi-interpolant in polygonal domains
نویسندگان
چکیده
Given an open bounded subset Ω of IR with polygonal boundary and given a set of n data values {u(xi, yi)} n i=1 whose centers can be used to perform a regular triangulation of Ω, we introduce a local and a global quasi interpolant which approximate the unknown function u at any point t of Ω. In particular, the approximation problem near the boundary of the studied domain is solved. The modeling of the method is given, with some numerical examples. * : UNAM UICA-DGSCA Ciudad Universitaria C. P. 04510 Mexico D.F., Mexico. email: [email protected] **: Corresponding author INSA Rouen Lab. de Mathematiques Place E. blondel BP 08 76130 Mont St Aignan cedex France email: [email protected] 1991 Mathematics Subject Classifications: Primary 65D99; secondary 65D10, 62G07.
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ورودعنوان ژورنال:
- Int. J. Comput. Math.
دوره 81 شماره
صفحات -
تاریخ انتشار 2004