On the determination of locating the source points of the MFS using effective condition number
The method of fundamental solutions (MFS) is a highly accurate numerical method for
solving homogeneous solutions subject to a properly selection of the sources location. In …
solving homogeneous solutions subject to a properly selection of the sources location. In …
On choosing the location of the sources in the MFS
CS Chen, A Karageorghis, Y Li - Numerical Algorithms, 2016 - Springer
The satisfactory location for the sources outside the closure of the domain of the problem
under consideration remains one of the major issues in the application of the method of …
under consideration remains one of the major issues in the application of the method of …
The adaptive algorithm for the selection of sources of the method of fundamental solutions
Despite all the efforts and success for finding the optimal location of the sources outside the
domain for the method of fundamental solutions (MFS), this issue continues to attract the …
domain for the method of fundamental solutions (MFS), this issue continues to attract the …
[HTML][HTML] Optimal sources in the MFS by minimizing a new merit function: Energy gap functional
The accuracy of the method of fundamental solutions (MFS) is strongly dependent on the
distribution of source points. A proper choice of source points is still an important issue in the …
distribution of source points. A proper choice of source points is still an important issue in the …
[PDF][PDF] Investigations on the accuracy and condition number for the method of fundamental solutions
In the applications of the method of fundamental solutions, locations of sources are treated
either as variables or a priori known constants. In which, the former results in a nonlinear …
either as variables or a priori known constants. In which, the former results in a nonlinear …
[PDF][PDF] A practical algorithm for determining the optimal pseudo-boundary in the method of fundamental solutions
A Karageorghis - Adv. Appl. Math. Mech, 2009 - global-sci.com
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 …
the determination of the position of the pseudo-boundary on which are placed the …
A study on the source points locations in the method of fundamental solution
This paper demonstrates that the placement of sources in the MFS can be chosen arbitrary.
Unlike the popular belief, which recommends placing them in a zone within a certain limit …
Unlike the popular belief, which recommends placing them in a zone within a certain limit …
A two-constraint method for appropriate determination of the configuration of source and collocation points in the method of fundamental solutions for 2D Laplace …
MR Hematiyan, A Haghighi… - Advances in Applied …, 2017 - doc.global-sci.org
Proper positioning of collocation and source points is one of the major issues in the
development of the method of fundamental solutions (MFS). In this paper, two constraints for …
development of the method of fundamental solutions (MFS). In this paper, two constraints for …
An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation
CS Liu - Engineering Analysis with Boundary Elements, 2012 - Elsevier
For the method of fundamental solutions (MFS), a trial solution is expressed as a linear
combination of fundamental solutions. However, the accuracy of MFS is heavily dependent …
combination of fundamental solutions. However, the accuracy of MFS is heavily dependent …
Methods of fundamental solutions for harmonic and biharmonic boundary value problems
In this work, the use of the Method of Fundamental Solutions (MFS) for solving elliptic partial
differential equations is investigated, and the performance of various least squares routines …
differential equations is investigated, and the performance of various least squares routines …