  We have performed micromagnetic simulations to study the formation of
skyrmions in ferromagnetic elements with different shapes having perpendicular
anisotropy. The strength of Dzyaloshinskii-Moriya interaction (D) and uniaxial
anisotropy (K) are varied to elucidate the regime in which skyrmion formation
can take place. It is found that for a certain combination of D and K skyrmion
formation does not happen. Further we also observed that for large D and small
K values, finite size effect dominates which in turn hinders formation of
typical N'eel (spherical) skyrmions. However the resulting magnetic phase is
skyrmionic in nature and has different shape. We also have found that the shape
of the magnetic nano element has a significant role in determining the final
magnetic state in addition to the competing D and K values.
