학술논문
Approximating solutions to the Dirichlet problem in Rnusing one analytic function
Document Type
Article
Author
Source
Numerical Methods for Partial Differential Equations; November 2010, Vol. 26 Issue: 6 p1636-1641, 6p
Subject
Language
ISSN
0749159X; 10982426
Abstract
A simpler proof is given of the result of (Whitley and Hromadka II, Numer Methods Partial Differential Eq 21 (2005) 905–917) that, under very mild conditions, any solution to a Dirichlet problem with given continuous boundary data can be approximated by a sum involving a single function of one complex variable; any analytic function not a polynomial can be used. This can be applied to give a method for the numerical solution of potential problems in dimension three or higher. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010