The term Finite Element Analysis (FEA) method is usually associated with solid mechanics. On the other hand, the term Computational Fluid Dynamics is, by definition, fluids oriented. Although both methods works on discretization of geometry based on the idea of chopping space up into small, but finite rather than infinitesimal, spaces or "elements." Then the equations are written that describe what passes through the boundaries of the small space, whether it be force and displacement or flow and pressure.
To dive in details I suggest you to view this finite element analysis book, Finite element analysis pdf (Altair Engineering)
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