Gauss Harmonic Interpolation Formulas

Let R be an open, bounded, simply connected
region in the (x,y)-plane and let (x*,y*) be a 
point in R.  Assuming R is starlike with respect to
(x*,y*), we discuss a method for computing Gauss 
harmonic interpolation formulas for R and the point (x*,y*).
 Such formulas approximate a harmonic function 
at (x*,y*) in terms of a linear combination of its
values at certain selected points on the boundary 
of R.  Such formulas are useful for approximating
the solution of the Dirichlet problem for R.

CACM August, 1974

Stroud, A. H.

interpolation, quadrature, harmonic interpolation,
harmonic quadrature, Dirichlet problem

5.13 5.16 5.17

CA740814 JB January 17, 1978  9:23 AM

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