GreenBallsL (GBL) matlab package was developed by D. S. Grebenkov for
numerical calculation of the Green function of the Laplace operator for
exterior or interior three-dimensional domains with disconnected spherical
boundaries. This package allows one to solve Dirichlet, Neumann and Robin
boundary value problems in these domains. The package relies on the generalized
method of separation of variables (GMSV) and its realization with solid harmonics
for three-dimensional domains with disconnected spherical boundaries
developed by D. S. Grebenkov and S. D. Traytak:
D. S. Grebenkov and S. D. Traytak, Semi-analytical computation of Laplacian Green functions
in three-dimensional domains with disconnected spherical boundaries (submitted to J. Comput. Phys. 2018);
available online here
The package can be freely downloaded, modified, transferred and applied for non-commercial uses only, and under the condition of keeping the explicit authorship to D. S. Grebenkov and citing the aforementioned paper which introduces and describes the method.
This is a test version of the package released on 6 February 2018. The package has been tested on a limited set of examples but might show abnormal behavior in more complicated cases. The author declines any responsibility for inaccurate or erroneous results and eventual consequent damages. Your feedback will help to correct eventual errors and improve the package. Please report any problems, errors or encountered difficulties via email: denis.grebenkov@polytechnique.edu
1) Create a new folder (e.g., 'gbl'), decompress
all files from gbl.zip
(released on 5 February 2018) and copy them to this folder.
2) Add this folder to the list of folders accessible
by Matlab (e.g., in the version 6.5, one can go
to items: File, Set Path, Add Folder,...).
3) The package is ready to use. Nonetheless,
it is RECOMMENDED first to read the manual.