TY - JOUR
T1 - A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions
AU - Karageorghis , A.
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 510
EP - 528
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/10.4208/aamm.09-m0916
UR - https://global-sci.org/intro/article_detail/aamm/8383.html
KW - Method of fundamental solutions, elliptic boundary value problems, function minimization.
AB - <p style="text-align: justify;">One of the main difficulties in the application of the method of
fundamental solutions (MFS) is the determination of the position of
the pseudo-boundary on which are placed the singularities in terms
of which the approximation is expressed. In this work, we propose a
simple practical algorithm for determining an estimate of the
pseudo-boundary which yields the most accurate MFS approximation
when the method is applied to certain boundary value problems.
Several numerical examples are provided.</p>