@techreport {Simula.SC.25,
title = {On the Implementation of {\textquoteright}pseudo-Harmonic{\textquoteright} Extension.},
number = {2/07},
year = {2007},
publisher = {Norwegian University of Science and Technology},
address = {7491 Trondheim},
abstract = {The \&$\#$39;pseudo-harmonic\&$\#$39; extension is an approximation to the common harmonic extension for extending a function over a domain based on its trace along the boundary of the domain. On a circle the two extension methods produce identical results. We present explicit formulas for the computation of distance functions and intersection points needed in the \&$\#$39;pseudo-harmonic\&$\#$39; extension on a circle, a square, and a pentagon. While the harmonic extension needs the solution of a Laplace problem for each new boundary function, the \&$\#$39;pseudo-harmonic\&$\#$39; extension can reuse the distance functions and intersection points for any piecewise continuous function defined on the boundary of the domain.},
author = {Alf Emil {L{\o}vgren}}
}