Polynomial interpolation to boundary data on triangles-Reference-Cited by-同舟云学术

Polynomial interpolation to boundary data on triangles

Published:1975 Issue:131 Volume:29 Page:726-735
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Barnhill R. E.,Gregory J. A.

Abstract

Boolean sum interpolation theory is used to derive a polynomial interpolant which interpolates a function F ∈ C N ( T ¯ ) F \in {C^N}(\bar T) , and its derivatives of order N and less, on the boundary ∂ T \partial T of a triangle T. A triangle with one curved side is also considered.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1975-29-131/S0025-5718-1975-0375735-3/S0025-5718-1975-0375735-3.pdf

Reference6 articles.

1. Smooth interpolation in triangles;Barnhill, R. E.;J. Approximation Theory,1973

2. Error bounds for smooth interpolation in triangles;Barnhill, Robert E.;J. Approximation Theory,1974

3. Tricubic polynomial interpolation;Birkhoff, Garrett;Proc. Nat. Acad. Sci. U.S.A.,1971

4. Pseudo-harmonic interpolation on convex domains;Gordon, William J.;SIAM J. Numer. Anal.,1974

5. An exact boundary technique for improved accuracy in the finite element method;Marshall, J. A.;J. Inst. Math. Appl.,1973

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