This paper brings, in front of the reader, some aspects regarding the using of those numerical methods, perhaps most used, for analysis of the fluids and structures. Next to the FEM (Finite Element Method), new numerical methods appeared, among these, the methods named meshfree methods are nowadays most used. The SPH (Smoothed Particle Hydrodynamics) method belongs to this category of meshfree method, being the most used in different fields like astrophysical phenomena, fluid dynamics, structure dynamics and others. The paper put face to face some results obtained by FEM and SPH, so the reader can alone to appreciate which method is better in a given problem or other. For to facilitate analysis and to understand the results, the fundamentals of SPH method are presented. In contrast to FEM, the SPH method is less known and less used in Romania. This finding underlies the emergence of this article. The answer to the title question depends on every one and it is influenced by many factors. Finally, the author suggests an answer by a correction of the title question: FEM and SPH or FEM with SPH.