Lagrange interpolation set along linear piecewise algebraic curves
Wang, Ren-Hong ; Wang, Shao-Fan
Commun. Math. Sci., Volume 7 (2009) no. 1, p. 165-174 / Harvested from Project Euclid
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This paper discusses the Lagrange interpolation problem in continuous bivariate spline spaces over regular triangulations. By using the so-called Lagrange interpolation set along piecewise algebraic curves, we develop a new approach of constructing the interpolation set for continuous spline spaces. We show the property of this set on star region, and construct the interpo- lation set for continuous bivariate spline spaces over arbitrary triangulations. The construction only depends on the number of points on the piecewise algebraic curve in each cell.
Published online : 2009-03-15
Classification:  Bivariate spline,  Lagrange interpolation set,  linear piecewise algebraic curve,  interpolation set along piecewise algebraic curves,  41A05,  41A15,  41A63,  65D05,  65D07 
@article{1238158610,
     author = {Wang, Ren-Hong and Wang, Shao-Fan},
     title = {Lagrange interpolation set along linear piecewise algebraic curves},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 165-174},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1238158610}
}

Wang, Ren-Hong; Wang, Shao-Fan. Lagrange interpolation set along linear piecewise algebraic curves. Commun. Math. Sci., Volume 7 (2009) no. 1, pp.  165-174. http://gdmltest.u-ga.fr/item/1238158610/