The original method is called Finite Pointset Method (FPM) and is an originary development of the Fraunhofer Institute for Industrial Mathematics ITWM. The software MESHFREE couples FPM and the algebraic multigrid method implemented in SAMG, an originary development of the Fraunhofer Institute for Algorithms and Scientific Computing SCAI.
FPM is the deprecated name of the numerical simulation idea, publications of which can be found for example at our publications overview. Now and in the future, we prefer the name Generalized Finite Difference Method (GFDM), as this states exactly the character of the method and avoids confusion with other ideas, also abbreviated as FPM.
Note that FPM is still the name of several commercial software-instances outside of the Fraunhofer ITWM, putting the original FPM-ideas into practice.
In addition to the use of MESHFREE, the basic numerical approaches are also described in the online documentation. More detailed descriptions can be found in our publications. Please use the described referencing when using MESHFREE.